1 | include "ASM/StatusProofsSplit.ma". |
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2 | |
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3 | include alias "arithmetics/nat.ma". |
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4 | include alias "basics/logic.ma". |
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5 | include alias "ASM/BitVectorTrie.ma". |
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6 | |
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7 | lemma fetch_many_singleton: |
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8 | ∀code_memory: BitVectorTrie Byte 16. |
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9 | ∀final_pc, start_pc: Word. |
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10 | ∀i: instruction. |
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11 | fetch_many code_memory final_pc start_pc [i] → |
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12 | 〈i, final_pc, ticks_of_instruction i〉 = fetch code_memory |
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13 | start_pc. |
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14 | #code_memory #final_pc #start_pc #i * #new_pc |
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15 | #fetch_many_assm whd in fetch_many_assm; |
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16 | cases (eq_bv_eq … fetch_many_assm) assumption |
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17 | qed. |
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18 | |
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19 | include alias "ASM/Vector.ma". |
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20 | include "ASM/Test.ma". |
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21 | |
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22 | lemma addressing_mode_ok_to_map_address_using_internal_pseudo_address_map: |
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23 | ∀M, cm, ps, sigma, x. |
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24 | ∀addr1: [[acc_a]]. |
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25 | addressing_mode_ok pseudo_assembly_program M cm ps addr1=true → |
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26 | map_address_using_internal_pseudo_address_map M sigma SFR_ACC_A x = x. |
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27 | #M #cm #ps #sigma #x #addr1 |
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28 | @(subaddressing_mode_elim … addr1) |
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29 | whd in ⊢ (??%? → ??%?); |
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30 | cases (\snd M) |
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31 | [1: |
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32 | // |
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33 | |2: |
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34 | #upper_lower #address normalize nodelta #absurd |
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35 | destruct(absurd) |
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36 | ] |
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37 | qed. |
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38 | |
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39 | lemma addressing_mode_ok_to_snd_M_data: |
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40 | ∀M, cm, ps. |
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41 | ∀addr: [[acc_a]]. |
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42 | addressing_mode_ok pseudo_assembly_program M cm ps addr = true → |
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43 | \snd M = data. |
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44 | #M #addr #ps #addr |
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45 | @(subaddressing_mode_elim … addr) |
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46 | whd in ⊢ (??%? → ?); |
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47 | cases (\snd M) normalize nodelta |
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48 | [2: |
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49 | * #address #absurd destruct(absurd) |
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50 | ] |
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51 | #_ % |
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52 | qed. |
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53 | |
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54 | lemma assoc_list_exists_true_to_assoc_list_lookup_Some: |
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55 | ∀A, B: Type[0]. |
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56 | ∀e: A. |
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57 | ∀the_list: list (A × B). |
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58 | ∀eq_f: A → A → bool. |
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59 | assoc_list_exists A B e eq_f the_list = true → |
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60 | ∃e'. assoc_list_lookup A B e eq_f the_list = Some … e'. |
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61 | #A #B #e #the_list #eq_f elim the_list |
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62 | [1: |
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63 | whd in ⊢ (??%? → ?); #absurd destruct(absurd) |
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64 | |2: |
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65 | #hd #tl #inductive_hypothesis |
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66 | whd in ⊢ (??%? → ?); whd in match (assoc_list_lookup ?????); |
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67 | cases (eq_f (\fst hd) e) normalize nodelta |
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68 | [1: |
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69 | #_ %{(\snd hd)} % |
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70 | |2: |
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71 | @inductive_hypothesis |
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72 | ] |
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73 | ] |
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74 | qed. |
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75 | |
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76 | lemma assoc_list_exists_false_to_assoc_list_lookup_None: |
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77 | ∀A, B: Type[0]. |
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78 | ∀e, e': A. |
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79 | ∀the_list, the_list': list (A × B). |
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80 | ∀eq_f: A → A → bool. |
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81 | e = e' → |
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82 | the_list = the_list' → |
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83 | assoc_list_exists A B e eq_f the_list = false → |
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84 | assoc_list_lookup A B e' eq_f the_list' = None …. |
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85 | #A #B #e #e' #the_list elim the_list |
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86 | [1: |
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87 | #the_list' #eq_f #e_refl <e_refl #the_list_refl <the_list_refl #_ % |
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88 | |2: |
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89 | #hd #tl #inductive_hypothesis #the_list' #eq_f #e_refl #the_list_refl <the_list_refl |
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90 | whd in ⊢ (??%? → ??%?); <e_refl |
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91 | cases (eq_f (\fst hd) e) normalize nodelta |
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92 | [1: |
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93 | #absurd destruct(absurd) |
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94 | |2: |
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95 | >e_refl in ⊢ (? → %); @inductive_hypothesis try % assumption |
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96 | ] |
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97 | ] |
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98 | qed. |
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99 | |
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100 | lemma sfr_psw_eq_to_bit_address_of_register_eq: |
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101 | ∀A: Type[0]. |
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102 | ∀code_memory: A. |
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103 | ∀status, status', register_address. |
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104 | get_8051_sfr … status SFR_PSW = get_8051_sfr … status' SFR_PSW → |
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105 | bit_address_of_register A code_memory status register_address = bit_address_of_register A code_memory status' register_address. |
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106 | #A #code_memory #status #status' #register_address #sfr_psw_refl |
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107 | whd in match bit_address_of_register; normalize nodelta |
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108 | <sfr_psw_refl % |
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109 | qed. |
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110 | |
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111 | lemma sfr_psw_and_low_internal_ram_eq_to_get_register_eq: |
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112 | ∀A: Type[0]. |
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113 | ∀code_memory: A. |
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114 | ∀status, status', register_address. |
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115 | get_8051_sfr … status SFR_PSW = get_8051_sfr … status' SFR_PSW → |
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116 | low_internal_ram A code_memory status = low_internal_ram A code_memory status' → |
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117 | get_register A code_memory status register_address = get_register A code_memory status' register_address. |
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118 | #A #code_memory #status #status' #register_address #sfr_psw_refl #low_internal_ram_refl |
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119 | whd in match get_register; normalize nodelta <low_internal_ram_refl |
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120 | >(sfr_psw_eq_to_bit_address_of_register_eq … status status') // |
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121 | qed. |
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122 | |
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123 | lemma map_address_mode_using_internal_pseudo_address_map_ok1_addr: |
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124 | ∀M', cm, status, status', sigma. |
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125 | ∀addr1: [[acc_a; registr; direct; indirect; data]]. (* XXX: expand as needed *) |
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126 | get_8051_sfr … status SFR_PSW = get_8051_sfr … status' SFR_PSW → |
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127 | addressing_mode_ok pseudo_assembly_program M' cm status addr1 = true → |
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128 | map_address_mode_using_internal_pseudo_address_map_ok1 M' cm status' sigma addr1. |
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129 | #M' #cm #status #status' #sigma #addr1 #sfr_refl |
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130 | @(subaddressing_mode_elim … addr1) try (#w #_ @I) |
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131 | [1: #_ @I ] |
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132 | #w whd in ⊢ (??%? → %); |
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133 | inversion (assoc_list_exists ?????) #assoc_list_exists_refl normalize nodelta |
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134 | [1: |
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135 | #absurd destruct(absurd) |
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136 | |2: |
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137 | #_ |
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138 | @(assoc_list_exists_false_to_assoc_list_lookup_None … (refl …) … assoc_list_exists_refl) |
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139 | <(sfr_psw_eq_to_bit_address_of_register_eq … status status') try % assumption |
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140 | ] |
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141 | qed. |
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142 | |
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143 | lemma not_b_c_to_b_not_c: |
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144 | ∀b, c: bool. |
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145 | (¬b) = c → b = (¬c). |
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146 | // |
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147 | qed. |
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148 | (* XXX: move above elsewhere *) |
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149 | |
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150 | lemma sfr8051_neq_acc_a_to_map_address_using_internal_pseudo_address_map: |
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151 | ∀M. |
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152 | ∀sigma. |
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153 | ∀sfr8051. |
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154 | ∀b. |
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155 | sfr8051 ≠ SFR_ACC_A → |
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156 | map_address_using_internal_pseudo_address_map M sigma sfr8051 b = b. |
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157 | #M #sigma * #b |
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158 | [18: |
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159 | #relevant cases (absurd … (refl ??) relevant) |
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160 | ] |
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161 | #_ % |
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162 | qed. |
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163 | |
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164 | lemma w_neq_224_to_map_address_Byte_using_internal_pseudo_address_map: |
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165 | ∀M. |
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166 | ∀sigma: Word → Word. |
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167 | ∀w: BitVector 8. |
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168 | ∀b. |
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169 | w ≠ bitvector_of_nat … 224 → |
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170 | map_address_Byte_using_internal_pseudo_address_map M sigma w b = b. |
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171 | #M #sigma #w #b #w_neq_assm |
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172 | whd in ⊢ (??%?); inversion (sfr_of_Byte ?) |
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173 | [1: |
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174 | #sfr_of_Byte_refl % |
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175 | |2: |
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176 | * #sfr8051 #sfr_of_Byte_refl normalize nodelta try % |
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177 | @sfr8051_neq_acc_a_to_map_address_using_internal_pseudo_address_map % |
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178 | #relevant >relevant in sfr_of_Byte_refl; #sfr_of_Byte_refl |
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179 | @(absurd ?? w_neq_assm) |
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180 | lapply sfr_of_Byte_refl -b -sfr_of_Byte_refl -relevant -w_neq_assm -sfr8051 -sigma |
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181 | whd in match sfr_of_Byte; normalize nodelta |
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182 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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183 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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184 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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185 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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186 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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187 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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188 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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189 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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190 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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191 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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192 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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193 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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194 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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195 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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196 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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197 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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198 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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199 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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200 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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201 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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202 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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203 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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204 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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205 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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206 | @eqb_elim #eqb_refl normalize nodelta [1: #_ <eqb_refl >bitvector_of_nat_inverse_nat_of_bitvector % ] |
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207 | cases (eqb ??) normalize nodelta [1: #absurd destruct(absurd) ] |
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208 | #absurd destruct(absurd) |
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209 | qed. |
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210 | |
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211 | lemma assoc_list_exists_false_to_map_internal_ram_address_using_pseudo_address_map: |
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212 | ∀M, sigma, w, b. |
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213 | assoc_list_exists Byte (upper_lower×Word) w (eq_bv 8) (\fst M) = false → |
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214 | map_internal_ram_address_using_pseudo_address_map M sigma w b = b. |
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215 | #M #sigma #w #b #assoc_list_exists_assm |
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216 | whd in ⊢ (??%?); |
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217 | >(assoc_list_exists_false_to_assoc_list_lookup_None … (refl …) … assoc_list_exists_assm) % |
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218 | qed. |
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219 | |
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220 | lemma addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2: |
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221 | ∀M', cm. |
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222 | ∀sigma, status, status', b, b'. |
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223 | ∀addr1: [[acc_a; registr; direct; indirect; data; bit_addr]]. (* XXX: expand as needed *) |
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224 | get_8051_sfr … status SFR_PSW = get_8051_sfr … status' SFR_PSW → |
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225 | low_internal_ram pseudo_assembly_program cm status = low_internal_ram pseudo_assembly_program cm status' → |
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226 | b = b' → |
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227 | addressing_mode_ok pseudo_assembly_program M' cm status addr1 = true → |
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228 | map_address_mode_using_internal_pseudo_address_map_ok2 pseudo_assembly_program M' sigma cm status' addr1 b = b'. |
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229 | #M' #cm #sigma #status #status' #b #b' #addr1 #sfr_refl #low_internal_ram_refl #b_refl <b_refl |
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230 | @(subaddressing_mode_elim … addr1) |
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231 | [1: |
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232 | whd in ⊢ (??%? → ??%?); cases (\snd M') |
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233 | [1: |
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234 | normalize nodelta #_ % |
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235 | |2: |
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236 | * #address normalize nodelta #absurd destruct(absurd) |
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237 | ] |
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238 | |2,4: |
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239 | #w whd in ⊢ (??%? → ??%?); |
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240 | inversion (assoc_list_exists ?????) #assoc_list_exists_refl normalize nodelta |
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241 | [1,3: |
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242 | #absurd destruct(absurd) |
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243 | |2: |
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244 | #_ |
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245 | <(sfr_psw_eq_to_bit_address_of_register_eq … status status' w … sfr_refl) |
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246 | >(assoc_list_exists_false_to_assoc_list_lookup_None … (refl …) … assoc_list_exists_refl) |
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247 | normalize nodelta % |
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248 | |4: |
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249 | #assoc_list_exists_assm lapply (not_b_c_to_b_not_c … assoc_list_exists_assm) |
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250 | -assoc_list_exists_assm #assoc_list_exists_assm |
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251 | <(sfr_psw_and_low_internal_ram_eq_to_get_register_eq … status status' [[false; false; w]] … sfr_refl low_internal_ram_refl) |
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252 | >(assoc_list_exists_false_to_assoc_list_lookup_None … (refl …) … assoc_list_exists_assm) |
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253 | normalize nodelta % |
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254 | ] |
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255 | |3: |
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256 | #w whd in ⊢ (??%? → ??%?); |
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257 | @eq_bv_elim #eq_bv_refl normalize nodelta |
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258 | [1: |
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259 | #assoc_list_exists_assm cases (conjunction_true … assoc_list_exists_assm) |
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260 | #assoc_list_exists_refl #eq_accumulator_refl |
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261 | >eq_bv_refl change with (map_address_Byte_using_internal_pseudo_address_map M' sigma (bitvector_of_nat 8 224) b = b) |
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262 | whd in ⊢ (??%?); >(eq_accumulator_address_map_entry_true_to_eq … eq_accumulator_refl) |
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263 | % |
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264 | |2: |
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265 | #assoc_list_exists_assm |
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266 | @(vsplit_elim bool ???) #bit_one #seven_bits #bit_one_seven_bits_refl normalize nodelta |
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267 | cases (Vector_Sn … bit_one) #bit * #tl >(Vector_O … tl) #bit_one_refl >bit_one_refl |
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268 | <head_head' inversion bit #bit_refl normalize nodelta |
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269 | >bit_one_refl in bit_one_seven_bits_refl; >bit_refl #w_refl normalize in w_refl; |
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270 | [1: |
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271 | @w_neq_224_to_map_address_Byte_using_internal_pseudo_address_map <w_refl assumption |
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272 | |2: |
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273 | @assoc_list_exists_false_to_map_internal_ram_address_using_pseudo_address_map |
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274 | <w_refl @(not_b_c_to_b_not_c … assoc_list_exists_assm) |
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275 | ] |
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276 | ] |
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277 | |5,6: |
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278 | #w #_ % |
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279 | ] |
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280 | qed. |
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281 | |
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282 | lemma match_nat_replace: |
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283 | ∀l, o, p, r, o', p': nat. |
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284 | l ≃ r → |
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285 | o ≃ o' → |
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286 | p ≃ p' → |
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287 | match l with [ O ⇒ o | S n ⇒ p ] = match r with [ O ⇒ o' | S n' ⇒ p' ]. |
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288 | #l #o #o #r #o' #p' #lr_refl #o_refl #p_refl >lr_refl >o_refl >p_refl % |
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289 | qed. |
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290 | |
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291 | lemma conjunction_split: |
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292 | ∀l, l', r, r': bool. |
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293 | l = l' → r = r' → (l ∧ r) = (l' ∧ r'). |
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294 | #l #l' #r #r' #l_refl #r_refl <l_refl <r_refl % |
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295 | qed. |
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296 | |
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297 | (* |
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298 | lemma match_nat_status_of_pseudo_status: |
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299 | ∀M, cm, sigma, policy, s, s', s'', s'''. |
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300 | ∀n, n': nat. |
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301 | n = n' → |
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302 | status_of_pseudo_status M cm s' sigma policy = s → |
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303 | status_of_pseudo_status M cm s''' sigma policy = s'' → |
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304 | match n with [ O ⇒ s | S n' ⇒ s'' ] = |
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305 | status_of_pseudo_status M cm (match n' with [ O ⇒ s' | S n'' ⇒ s''']) sigma policy. |
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306 | #M #cm #sigma #policy #s #s' #s'' #s''' #n #n' |
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307 | #n_refl #s_refl #s_refl' <n_refl <s_refl <s_refl' |
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308 | cases n normalize nodelta try % #n' % |
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309 | qed. |
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310 | *) |
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311 | |
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312 | lemma main_lemma_preinstruction: |
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313 | ∀M, M': internal_pseudo_address_map. |
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314 | ∀preamble: preamble. |
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315 | ∀instr_list: list labelled_instruction. |
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316 | ∀cm: pseudo_assembly_program. |
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317 | ∀EQcm: cm = 〈preamble, instr_list〉. |
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318 | ∀is_well_labelled_witness: is_well_labelled_p instr_list. |
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319 | ∀sigma: Word → Word. |
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320 | ∀policy: Word → bool. |
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321 | ∀sigma_policy_witness: sigma_policy_specification cm sigma policy. |
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322 | ∀ps: PseudoStatus cm. |
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323 | ∀ppc: Word. |
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324 | ∀program_counter_in_bounds_witness: nat_of_bitvector … ppc < |instr_list|. |
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325 | ∀EQppc: ppc = program_counter pseudo_assembly_program cm ps. |
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326 | ∀labels: label_map. |
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327 | ∀costs: BitVectorTrie costlabel 16. |
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328 | ∀create_label_cost_refl: create_label_cost_map instr_list = 〈labels, costs〉. |
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329 | ∀newppc: Word. |
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330 | ∀lookup_labels: Identifier → Word. |
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331 | ∀EQlookup_labels: lookup_labels = (λx. bitvector_of_nat 16 (lookup_def … labels x 0)). |
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332 | ∀lookup_datalabels: Identifier → Word. |
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333 | ∀EQlookup_datalabels: lookup_datalabels = (λx.lookup_def ASMTag Word (construct_datalabels preamble) x (zero 16)). |
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334 | ∀EQnewppc: newppc = add 16 ppc (bitvector_of_nat 16 1). |
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335 | ∀instr: preinstruction Identifier. |
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336 | ∀fetch_pseudo_refl: \fst (fetch_pseudo_instruction instr_list ppc program_counter_in_bounds_witness) = Instruction instr. |
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337 | ∀ticks: nat × nat. |
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338 | ∀EQticks: ticks = ticks_of0 〈preamble, instr_list〉 lookup_labels sigma policy ppc (Instruction instr). |
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339 | ∀addr_of: Identifier → PreStatus pseudo_assembly_program cm → BitVector 16. |
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340 | ∀EQaddr_of: addr_of = (λx:Identifier. λy:PreStatus pseudo_assembly_program cm. address_of_word_labels cm x). |
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341 | ∀s: PreStatus pseudo_assembly_program cm. |
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342 | ∀EQs: s = (set_program_counter pseudo_assembly_program cm ps (add 16 ppc (bitvector_of_nat 16 1))). |
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343 | ∀P: preinstruction Identifier → PseudoStatus cm → Prop. |
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344 | ∀EQP: P = (λinstr, s. sigma (add 16 ppc (bitvector_of_nat 16 1)) = add 16 (sigma ppc) |
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345 | (bitvector_of_nat 16 (\fst (assembly_1_pseudoinstruction lookup_labels sigma policy ppc |
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346 | lookup_datalabels (Instruction instr)))) → |
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347 | next_internal_pseudo_address_map0 ? cm addr_of (Instruction instr) M ps = Some internal_pseudo_address_map M' → |
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348 | fetch_many (load_code_memory (\fst (pi1 … (assembly cm sigma policy)))) (sigma (add 16 ppc (bitvector_of_nat 16 1))) (sigma (program_counter pseudo_assembly_program cm ps)) |
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349 | (expand_pseudo_instruction lookup_labels sigma policy (program_counter pseudo_assembly_program cm ps) lookup_datalabels (Instruction instr)) → |
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350 | ∃n: nat. execute n (code_memory_of_pseudo_assembly_program cm sigma policy) (status_of_pseudo_status M cm ps sigma policy) = |
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351 | status_of_pseudo_status M' cm s sigma policy). |
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352 | P instr (execute_1_preinstruction ticks Identifier pseudo_assembly_program cm addr_of instr s). |
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353 | (* XXX: takes about 45 minutes to type check! *) |
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354 | #M #M' #preamble #instr_list #cm #EQcm #is_well_labelled_witness #sigma #policy |
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355 | #sigma_policy_witness #ps #ppc #ppc_in_bounds_witness #EQppc #labels |
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356 | #costs #create_label_cost_refl #newppc #lookup_labels #EQlookup_labels |
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357 | #lookup_datalabels #EQlookup_datalabels #EQnewppc #instr #fetch_pseudo_refl |
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358 | #ticks #EQticks #addr_of #EQaddr_of #s #EQs #P #EQP |
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359 | (*#sigma_increment_commutation #maps_assm #fetch_many_assm *) |
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360 | letin a ≝ Identifier letin m ≝ pseudo_assembly_program |
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361 | cut (Σxxx:PseudoStatus cm. P instr (execute_1_preinstruction ticks a m cm addr_of instr s)) |
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362 | [2: * // ] |
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363 | @( |
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364 | let add_ticks1 ≝ λs: PreStatus m cm. set_clock ?? s (\fst ticks + clock ?? s) in |
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365 | let add_ticks2 ≝ λs: PreStatus m cm. set_clock ?? s (\snd ticks + clock ?? s) in |
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366 | match instr in preinstruction return λx. x = instr → Σs'.? with |
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367 | [ ADD addr1 addr2 ⇒ λinstr_refl. |
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368 | let s ≝ add_ticks1 s in |
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369 | let 〈result, flags〉 ≝ add_8_with_carry (get_arg_8 … s false addr1) |
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370 | (get_arg_8 … s false addr2) false in |
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371 | let cy_flag ≝ get_index' ? O ? flags in |
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372 | let ac_flag ≝ get_index' ? 1 ? flags in |
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373 | let ov_flag ≝ get_index' ? 2 ? flags in |
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374 | let s ≝ set_arg_8 … s ACC_A result in |
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375 | set_flags … s cy_flag (Some Bit ac_flag) ov_flag |
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376 | | ADDC addr1 addr2 ⇒ λinstr_refl. |
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377 | let s ≝ add_ticks1 s in |
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378 | let old_cy_flag ≝ get_cy_flag ?? s in |
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379 | let 〈result, flags〉 ≝ add_8_with_carry (get_arg_8 … s false addr1) |
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380 | (get_arg_8 … s false addr2) old_cy_flag in |
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381 | let cy_flag ≝ get_index' ? O ? flags in |
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382 | let ac_flag ≝ get_index' ? 1 ? flags in |
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383 | let ov_flag ≝ get_index' ? 2 ? flags in |
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384 | let s ≝ set_arg_8 … s ACC_A result in |
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385 | set_flags … s cy_flag (Some Bit ac_flag) ov_flag |
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386 | | SUBB addr1 addr2 ⇒ λinstr_refl. |
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387 | let s ≝ add_ticks1 s in |
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388 | let old_cy_flag ≝ get_cy_flag ?? s in |
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389 | let 〈result, flags〉 ≝ sub_8_with_carry (get_arg_8 … s false addr1) |
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390 | (get_arg_8 … s false addr2) old_cy_flag in |
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391 | let cy_flag ≝ get_index' ? O ? flags in |
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392 | let ac_flag ≝ get_index' ? 1 ? flags in |
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393 | let ov_flag ≝ get_index' ? 2 ? flags in |
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394 | let s ≝ set_arg_8 … s ACC_A result in |
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395 | set_flags … s cy_flag (Some Bit ac_flag) ov_flag |
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396 | | ANL addr ⇒ λinstr_refl. |
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397 | let s ≝ add_ticks1 s in |
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398 | match addr with |
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399 | [ inl l ⇒ |
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400 | match l with |
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401 | [ inl l' ⇒ |
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402 | let 〈addr1, addr2〉 ≝ l' in |
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403 | let and_val ≝ conjunction_bv ? (get_arg_8 … s true addr1) (get_arg_8 … s true addr2) in |
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404 | set_arg_8 … s addr1 and_val |
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405 | | inr r ⇒ |
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406 | let 〈addr1, addr2〉 ≝ r in |
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407 | let and_val ≝ conjunction_bv ? (get_arg_8 … s true addr1) (get_arg_8 … s true addr2) in |
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408 | set_arg_8 … s addr1 and_val |
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409 | ] |
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410 | | inr r ⇒ |
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411 | let 〈addr1, addr2〉 ≝ r in |
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412 | let and_val ≝ andb (get_cy_flag … s) (get_arg_1 … s addr2 true) in |
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413 | set_flags … s and_val (None ?) (get_ov_flag ?? s) |
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414 | ] |
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415 | | ORL addr ⇒ λinstr_refl. |
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416 | let s ≝ add_ticks1 s in |
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417 | match addr with |
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418 | [ inl l ⇒ |
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419 | match l with |
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420 | [ inl l' ⇒ |
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421 | let 〈addr1, addr2〉 ≝ l' in |
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422 | let or_val ≝ inclusive_disjunction_bv ? (get_arg_8 … s true addr1) (get_arg_8 … s true addr2) in |
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423 | set_arg_8 … s addr1 or_val |
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424 | | inr r ⇒ |
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425 | let 〈addr1, addr2〉 ≝ r in |
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426 | let or_val ≝ inclusive_disjunction_bv ? (get_arg_8 … s true addr1) (get_arg_8 … s true addr2) in |
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427 | set_arg_8 … s addr1 or_val |
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428 | ] |
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429 | | inr r ⇒ |
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430 | let 〈addr1, addr2〉 ≝ r in |
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431 | let or_val ≝ (get_cy_flag … s) ∨ (get_arg_1 … s addr2 true) in |
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432 | set_flags … s or_val (None ?) (get_ov_flag … s) |
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433 | ] |
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434 | | XRL addr ⇒ λinstr_refl. |
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435 | let s ≝ add_ticks1 s in |
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436 | match addr with |
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437 | [ inl l' ⇒ |
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438 | let 〈addr1, addr2〉 ≝ l' in |
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439 | let xor_val ≝ exclusive_disjunction_bv ? (get_arg_8 … s true addr1) (get_arg_8 … s true addr2) in |
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440 | set_arg_8 … s addr1 xor_val |
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441 | | inr r ⇒ |
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442 | let 〈addr1, addr2〉 ≝ r in |
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443 | let xor_val ≝ exclusive_disjunction_bv ? (get_arg_8 … s true addr1) (get_arg_8 … s true addr2) in |
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444 | set_arg_8 … s addr1 xor_val |
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445 | ] |
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446 | | INC addr ⇒ λinstr_refl. |
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447 | match addr return λx. bool_to_Prop (is_in … [[ acc_a;registr;direct;indirect;dptr ]] x) → x = addr → Σs': PreStatus m cm. ? with |
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448 | [ ACC_A ⇒ λacc_a: True. λEQaddr. |
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449 | let s' ≝ add_ticks1 s in |
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450 | let 〈 carry, result 〉 ≝ half_add ? (get_arg_8 … s' true ACC_A) (bitvector_of_nat 8 1) in |
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451 | set_arg_8 … s' ACC_A result |
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452 | | REGISTER r ⇒ λregister: True. λEQaddr. |
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453 | let s' ≝ add_ticks1 s in |
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454 | let 〈 carry, result 〉 ≝ half_add ? (get_arg_8 … s' true (REGISTER r)) (bitvector_of_nat 8 1) in |
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455 | set_arg_8 … s' (REGISTER r) result |
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456 | | DIRECT d ⇒ λdirect: True. λEQaddr. |
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457 | let s' ≝ add_ticks1 s in |
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458 | let 〈 carry, result 〉 ≝ half_add ? (get_arg_8 … s' true (DIRECT d)) (bitvector_of_nat 8 1) in |
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459 | set_arg_8 … s' (DIRECT d) result |
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460 | | INDIRECT i ⇒ λindirect: True. λEQaddr. |
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461 | let s' ≝ add_ticks1 s in |
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462 | let 〈 carry, result 〉 ≝ half_add ? (get_arg_8 … s' true (INDIRECT i)) (bitvector_of_nat 8 1) in |
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463 | set_arg_8 … s' (INDIRECT i) result |
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464 | | DPTR ⇒ λdptr: True. λEQaddr. |
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465 | let s' ≝ add_ticks1 s in |
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466 | let 〈 carry, bl 〉 ≝ half_add ? (get_8051_sfr … s' SFR_DPL) (bitvector_of_nat 8 1) in |
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467 | let 〈 carry, bu 〉 ≝ full_add ? (get_8051_sfr … s' SFR_DPH) (zero 8) carry in |
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468 | let s ≝ set_8051_sfr … s' SFR_DPL bl in |
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469 | set_8051_sfr … s' SFR_DPH bu |
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470 | | _ ⇒ λother: False. ⊥ |
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471 | ] (subaddressing_modein … addr) (refl … (subaddressing_modeel … addr)) |
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472 | | NOP ⇒ λinstr_refl. |
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473 | let s ≝ add_ticks2 s in |
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474 | s |
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475 | | DEC addr ⇒ λinstr_refl. |
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476 | let s ≝ add_ticks1 s in |
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477 | let 〈 result, flags 〉 ≝ sub_8_with_carry (get_arg_8 … s true addr) (bitvector_of_nat 8 1) false in |
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478 | set_arg_8 … s addr result |
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479 | | MUL addr1 addr2 ⇒ λinstr_refl. |
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480 | let s ≝ add_ticks1 s in |
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481 | let acc_a_nat ≝ nat_of_bitvector 8 (get_8051_sfr … s SFR_ACC_A) in |
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482 | let acc_b_nat ≝ nat_of_bitvector 8 (get_8051_sfr … s SFR_ACC_B) in |
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483 | let product ≝ acc_a_nat * acc_b_nat in |
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484 | let ov_flag ≝ product ≥ 256 in |
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485 | let low ≝ bitvector_of_nat 8 (product mod 256) in |
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486 | let high ≝ bitvector_of_nat 8 (product ÷ 256) in |
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487 | let s ≝ set_8051_sfr … s SFR_ACC_A low in |
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488 | set_8051_sfr … s SFR_ACC_B high |
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489 | | DIV addr1 addr2 ⇒ λinstr_refl. |
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490 | let s ≝ add_ticks1 s in |
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491 | let acc_a_nat ≝ nat_of_bitvector 8 (get_8051_sfr … s SFR_ACC_A) in |
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492 | let acc_b_nat ≝ nat_of_bitvector 8 (get_8051_sfr … s SFR_ACC_B) in |
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493 | match acc_b_nat with |
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494 | [ O ⇒ set_flags … s false (None Bit) true |
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495 | | S o ⇒ |
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496 | let q ≝ bitvector_of_nat 8 (acc_a_nat ÷ (S o)) in |
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497 | let r ≝ bitvector_of_nat 8 (acc_a_nat mod 256) in |
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498 | let s ≝ set_8051_sfr … s SFR_ACC_A q in |
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499 | let s ≝ set_8051_sfr … s SFR_ACC_B r in |
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500 | set_flags … s false (None Bit) false |
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501 | ] |
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502 | | DA addr ⇒ λinstr_refl. |
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503 | let s ≝ add_ticks1 s in |
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504 | let 〈acc_nu, acc_nl〉 ≝ vsplit ? 4 4 (get_8051_sfr … s SFR_ACC_A) in |
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505 | if (gtb (nat_of_bitvector ? acc_nl) 9) ∨ (get_ac_flag … s) then |
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506 | let 〈result, flags〉 ≝ add_8_with_carry (get_8051_sfr … s SFR_ACC_A) (bitvector_of_nat 8 6) false in |
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507 | let cy_flag ≝ get_index' ? O ? flags in |
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508 | let 〈acc_nu', acc_nl'〉 ≝ vsplit ? 4 4 result in |
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509 | if (gtb (nat_of_bitvector ? acc_nu') 9) ∨ cy_flag then |
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510 | let 〈 carry, nu 〉 ≝ half_add ? acc_nu' (bitvector_of_nat 4 6) in |
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511 | let new_acc ≝ nu @@ acc_nl' in |
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512 | let s ≝ set_8051_sfr … s SFR_ACC_A new_acc in |
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513 | set_flags … s cy_flag (Some ? (get_ac_flag … s)) (get_ov_flag … s) |
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514 | else |
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515 | s |
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516 | else |
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517 | s |
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518 | | CLR addr ⇒ λinstr_refl. |
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519 | match addr return λx. bool_to_Prop (is_in … [[ acc_a; carry; bit_addr ]] x) → x = addr → Σs': PreStatus m cm. ? with |
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520 | [ ACC_A ⇒ λacc_a: True. λEQaddr. |
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521 | let s ≝ add_ticks1 s in |
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522 | set_arg_8 … s ACC_A (zero 8) |
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523 | | CARRY ⇒ λcarry: True. λEQaddr. |
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524 | let s ≝ add_ticks1 s in |
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525 | set_arg_1 … s CARRY false |
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526 | | BIT_ADDR b ⇒ λbit_addr: True. λEQaddr. |
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527 | let s ≝ add_ticks1 s in |
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528 | set_arg_1 … s (BIT_ADDR b) false |
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529 | | _ ⇒ λother: False. ⊥ |
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530 | ] (subaddressing_modein … addr) (refl … (subaddressing_modeel … addr)) |
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531 | | CPL addr ⇒ λinstr_refl. |
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532 | match addr return λx. bool_to_Prop (is_in … [[ acc_a; carry; bit_addr ]] x) → x = addr → Σs': PreStatus m cm. ? with |
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533 | [ ACC_A ⇒ λacc_a: True. λEQaddr. |
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534 | let s ≝ add_ticks1 s in |
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535 | let old_acc ≝ get_8051_sfr … s SFR_ACC_A in |
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536 | let new_acc ≝ negation_bv ? old_acc in |
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537 | set_8051_sfr … s SFR_ACC_A new_acc |
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538 | | CARRY ⇒ λcarry: True. λEQaddr. |
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539 | let s ≝ add_ticks1 s in |
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540 | let old_cy_flag ≝ get_arg_1 … s CARRY true in |
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541 | let new_cy_flag ≝ ¬old_cy_flag in |
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542 | set_arg_1 … s CARRY new_cy_flag |
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543 | | BIT_ADDR b ⇒ λbit_addr: True. λEQaddr. |
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544 | let s ≝ add_ticks1 s in |
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545 | let old_bit ≝ get_arg_1 … s (BIT_ADDR b) true in |
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546 | let new_bit ≝ ¬old_bit in |
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547 | set_arg_1 … s (BIT_ADDR b) new_bit |
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548 | | _ ⇒ λother: False. ? |
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549 | ] (subaddressing_modein … addr) (refl … (subaddressing_modeel … addr)) |
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550 | | SETB b ⇒ λinstr_refl. |
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551 | let s ≝ add_ticks1 s in |
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552 | set_arg_1 … s b false |
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553 | | RL _ ⇒ λinstr_refl. (* DPM: always ACC_A *) |
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554 | let s ≝ add_ticks1 s in |
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555 | let old_acc ≝ get_8051_sfr … s SFR_ACC_A in |
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556 | let new_acc ≝ rotate_left … 1 old_acc in |
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557 | set_8051_sfr … s SFR_ACC_A new_acc |
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558 | | RR _ ⇒ λinstr_refl. (* DPM: always ACC_A *) |
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559 | let s ≝ add_ticks1 s in |
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560 | let old_acc ≝ get_8051_sfr … s SFR_ACC_A in |
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561 | let new_acc ≝ rotate_right … 1 old_acc in |
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562 | set_8051_sfr … s SFR_ACC_A new_acc |
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563 | | RLC _ ⇒ λinstr_refl. (* DPM: always ACC_A *) |
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564 | let s ≝ add_ticks1 s in |
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565 | let old_cy_flag ≝ get_cy_flag ?? s in |
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566 | let old_acc ≝ get_8051_sfr … s SFR_ACC_A in |
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567 | let new_cy_flag ≝ get_index' ? O ? old_acc in |
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568 | let new_acc ≝ shift_left … 1 old_acc old_cy_flag in |
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569 | let s ≝ set_arg_1 … s CARRY new_cy_flag in |
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570 | set_8051_sfr … s SFR_ACC_A new_acc |
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571 | | RRC _ ⇒ λinstr_refl. (* DPM: always ACC_A *) |
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572 | let s ≝ add_ticks1 s in |
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573 | let old_cy_flag ≝ get_cy_flag ?? s in |
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574 | let old_acc ≝ get_8051_sfr … s SFR_ACC_A in |
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575 | let new_cy_flag ≝ get_index' ? 7 ? old_acc in |
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576 | let new_acc ≝ shift_right … 1 old_acc old_cy_flag in |
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577 | let s ≝ set_arg_1 … s CARRY new_cy_flag in |
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578 | set_8051_sfr … s SFR_ACC_A new_acc |
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579 | | SWAP _ ⇒ λinstr_refl. (* DPM: always ACC_A *) |
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580 | let s ≝ add_ticks1 s in |
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581 | let old_acc ≝ get_8051_sfr … s SFR_ACC_A in |
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582 | let 〈nu,nl〉 ≝ vsplit ? 4 4 old_acc in |
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583 | let new_acc ≝ nl @@ nu in |
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584 | set_8051_sfr … s SFR_ACC_A new_acc |
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585 | | PUSH addr ⇒ λinstr_refl. |
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586 | match addr return λx. bool_to_Prop (is_in … [[ direct ]] x) → x = addr → Σs': PreStatus m cm. ? with |
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587 | [ DIRECT d ⇒ λdirect: True. λEQaddr. |
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588 | let s ≝ add_ticks1 s in |
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589 | let 〈carry, new_sp〉 ≝ half_add ? (get_8051_sfr … s SFR_SP) (bitvector_of_nat 8 1) in |
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590 | let s ≝ set_8051_sfr … s SFR_SP new_sp in |
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591 | write_at_stack_pointer … s d |
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592 | | _ ⇒ λother: False. ⊥ |
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593 | ] (subaddressing_modein … addr) (refl … (subaddressing_modeel … addr)) |
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594 | | POP addr ⇒ λinstr_refl. |
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595 | let s ≝ add_ticks1 s in |
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596 | let contents ≝ read_at_stack_pointer ?? s in |
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597 | let 〈new_sp, flags〉 ≝ sub_8_with_carry (get_8051_sfr … s SFR_SP) (bitvector_of_nat 8 1) false in |
---|
598 | let s ≝ set_8051_sfr … s SFR_SP new_sp in |
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599 | set_arg_8 … s addr contents |
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600 | | XCH addr1 addr2 ⇒ λinstr_refl. |
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601 | let s ≝ add_ticks1 s in |
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602 | let old_addr ≝ get_arg_8 … s false addr2 in |
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603 | let old_acc ≝ get_8051_sfr … s SFR_ACC_A in |
---|
604 | let s ≝ set_8051_sfr … s SFR_ACC_A old_addr in |
---|
605 | set_arg_8 … s addr2 old_acc |
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606 | | XCHD addr1 addr2 ⇒ λinstr_refl. |
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607 | let s ≝ add_ticks1 s in |
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608 | let 〈acc_nu, acc_nl〉 ≝ vsplit … 4 4 (get_8051_sfr … s SFR_ACC_A) in |
---|
609 | let 〈arg_nu, arg_nl〉 ≝ vsplit … 4 4 (get_arg_8 … s false addr2) in |
---|
610 | let new_acc ≝ acc_nu @@ arg_nl in |
---|
611 | let new_arg ≝ arg_nu @@ acc_nl in |
---|
612 | let s ≝ set_8051_sfr ?? s SFR_ACC_A new_acc in |
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613 | set_arg_8 … s addr2 new_arg |
---|
614 | | RET ⇒ λinstr_refl. |
---|
615 | let s ≝ add_ticks1 s in |
---|
616 | let high_bits ≝ read_at_stack_pointer ?? s in |
---|
617 | let 〈new_sp, flags〉 ≝ sub_8_with_carry (get_8051_sfr … s SFR_SP) (bitvector_of_nat 8 1) false in |
---|
618 | let s ≝ set_8051_sfr … s SFR_SP new_sp in |
---|
619 | let low_bits ≝ read_at_stack_pointer ?? s in |
---|
620 | let 〈new_sp, flags〉 ≝ sub_8_with_carry (get_8051_sfr … s SFR_SP) (bitvector_of_nat 8 1) false in |
---|
621 | let s ≝ set_8051_sfr … s SFR_SP new_sp in |
---|
622 | let new_pc ≝ high_bits @@ low_bits in |
---|
623 | set_program_counter … s new_pc |
---|
624 | | RETI ⇒ λinstr_refl. |
---|
625 | let s ≝ add_ticks1 s in |
---|
626 | let high_bits ≝ read_at_stack_pointer ?? s in |
---|
627 | let 〈new_sp, flags〉 ≝ sub_8_with_carry (get_8051_sfr … s SFR_SP) (bitvector_of_nat 8 1) false in |
---|
628 | let s ≝ set_8051_sfr … s SFR_SP new_sp in |
---|
629 | let low_bits ≝ read_at_stack_pointer ?? s in |
---|
630 | let 〈new_sp, flags〉 ≝ sub_8_with_carry (get_8051_sfr … s SFR_SP) (bitvector_of_nat 8 1) false in |
---|
631 | let s ≝ set_8051_sfr … s SFR_SP new_sp in |
---|
632 | let new_pc ≝ high_bits @@ low_bits in |
---|
633 | set_program_counter … s new_pc |
---|
634 | | MOVX addr ⇒ λinstr_refl. |
---|
635 | let s ≝ add_ticks1 s in |
---|
636 | (* DPM: only copies --- doesn't affect I/O *) |
---|
637 | match addr with |
---|
638 | [ inl l ⇒ |
---|
639 | let 〈addr1, addr2〉 ≝ l in |
---|
640 | set_arg_8 … s addr1 (get_arg_8 … s false addr2) |
---|
641 | | inr r ⇒ |
---|
642 | let 〈addr1, addr2〉 ≝ r in |
---|
643 | set_arg_8 … s addr1 (get_arg_8 … s false addr2) |
---|
644 | ] |
---|
645 | | MOV addr ⇒ λinstr_refl. |
---|
646 | let s ≝ add_ticks1 s in |
---|
647 | match addr with |
---|
648 | [ inl l ⇒ |
---|
649 | match l with |
---|
650 | [ inl l' ⇒ |
---|
651 | match l' with |
---|
652 | [ inl l'' ⇒ |
---|
653 | match l'' with |
---|
654 | [ inl l''' ⇒ |
---|
655 | match l''' with |
---|
656 | [ inl l'''' ⇒ |
---|
657 | let 〈addr1, addr2〉 ≝ l'''' in |
---|
658 | set_arg_8 … s addr1 (get_arg_8 … s false addr2) |
---|
659 | | inr r'''' ⇒ |
---|
660 | let 〈addr1, addr2〉 ≝ r'''' in |
---|
661 | set_arg_8 … s addr1 (get_arg_8 … s false addr2) |
---|
662 | ] |
---|
663 | | inr r''' ⇒ |
---|
664 | let 〈addr1, addr2〉 ≝ r''' in |
---|
665 | set_arg_8 … s addr1 (get_arg_8 … s false addr2) |
---|
666 | ] |
---|
667 | | inr r'' ⇒ |
---|
668 | let 〈addr1, addr2〉 ≝ r'' in |
---|
669 | set_arg_16 … s (get_arg_16 … s addr2) addr1 |
---|
670 | ] |
---|
671 | | inr r ⇒ |
---|
672 | let 〈addr1, addr2〉 ≝ r in |
---|
673 | set_arg_1 … s addr1 (get_arg_1 … s addr2 false) |
---|
674 | ] |
---|
675 | | inr r ⇒ |
---|
676 | let 〈addr1, addr2〉 ≝ r in |
---|
677 | set_arg_1 … s addr1 (get_arg_1 … s addr2 false) |
---|
678 | ] |
---|
679 | | JC addr ⇒ λinstr_refl. |
---|
680 | if get_cy_flag ?? s then |
---|
681 | let s ≝ add_ticks1 s in |
---|
682 | set_program_counter … s (addr_of addr s) |
---|
683 | else |
---|
684 | let s ≝ add_ticks2 s in |
---|
685 | s |
---|
686 | | JNC addr ⇒ λinstr_refl. |
---|
687 | if ¬(get_cy_flag ?? s) then |
---|
688 | let s ≝ add_ticks1 s in |
---|
689 | set_program_counter … s (addr_of addr s) |
---|
690 | else |
---|
691 | let s ≝ add_ticks2 s in |
---|
692 | s |
---|
693 | | JB addr1 addr2 ⇒ λinstr_refl. |
---|
694 | if get_arg_1 … s addr1 false then |
---|
695 | let s ≝ add_ticks1 s in |
---|
696 | set_program_counter … s (addr_of addr2 s) |
---|
697 | else |
---|
698 | let s ≝ add_ticks2 s in |
---|
699 | s |
---|
700 | | JNB addr1 addr2 ⇒ λinstr_refl. |
---|
701 | if ¬(get_arg_1 … s addr1 false) then |
---|
702 | let s ≝ add_ticks1 s in |
---|
703 | set_program_counter … s (addr_of addr2 s) |
---|
704 | else |
---|
705 | let s ≝ add_ticks2 s in |
---|
706 | s |
---|
707 | | JBC addr1 addr2 ⇒ λinstr_refl. |
---|
708 | let s ≝ set_arg_1 … s addr1 false in |
---|
709 | if get_arg_1 … s addr1 false then |
---|
710 | let s ≝ add_ticks1 s in |
---|
711 | set_program_counter … s (addr_of addr2 s) |
---|
712 | else |
---|
713 | let s ≝ add_ticks2 s in |
---|
714 | s |
---|
715 | | JZ addr ⇒ λinstr_refl. |
---|
716 | if eq_bv ? (get_8051_sfr … s SFR_ACC_A) (zero 8) then |
---|
717 | let s ≝ add_ticks1 s in |
---|
718 | set_program_counter … s (addr_of addr s) |
---|
719 | else |
---|
720 | let s ≝ add_ticks2 s in |
---|
721 | s |
---|
722 | | JNZ addr ⇒ λinstr_refl. |
---|
723 | if ¬(eq_bv ? (get_8051_sfr … s SFR_ACC_A) (zero 8)) then |
---|
724 | let s ≝ add_ticks1 s in |
---|
725 | set_program_counter … s (addr_of addr s) |
---|
726 | else |
---|
727 | let s ≝ add_ticks2 s in |
---|
728 | s |
---|
729 | | CJNE addr1 addr2 ⇒ λinstr_refl. |
---|
730 | match addr1 with |
---|
731 | [ inl l ⇒ |
---|
732 | let 〈addr1, addr2'〉 ≝ l in |
---|
733 | let new_cy ≝ ltb (nat_of_bitvector ? (get_arg_8 … s false addr1)) |
---|
734 | (nat_of_bitvector ? (get_arg_8 … s false addr2')) in |
---|
735 | if ¬(eq_bv ? (get_arg_8 … s false addr1) (get_arg_8 … s false addr2')) then |
---|
736 | let s ≝ add_ticks1 s in |
---|
737 | let s ≝ set_program_counter … s (addr_of addr2 s) in |
---|
738 | set_flags … s new_cy (None ?) (get_ov_flag ?? s) |
---|
739 | else |
---|
740 | let s ≝ add_ticks2 s in |
---|
741 | set_flags … s new_cy (None ?) (get_ov_flag ?? s) |
---|
742 | | inr r' ⇒ |
---|
743 | let 〈addr1, addr2'〉 ≝ r' in |
---|
744 | let new_cy ≝ ltb (nat_of_bitvector ? (get_arg_8 … s false addr1)) |
---|
745 | (nat_of_bitvector ? (get_arg_8 … s false addr2')) in |
---|
746 | if ¬(eq_bv ? (get_arg_8 … s false addr1) (get_arg_8 … s false addr2')) then |
---|
747 | let s ≝ add_ticks1 s in |
---|
748 | let s ≝ set_program_counter … s (addr_of addr2 s) in |
---|
749 | set_flags … s new_cy (None ?) (get_ov_flag ?? s) |
---|
750 | else |
---|
751 | let s ≝ add_ticks2 s in |
---|
752 | set_flags … s new_cy (None ?) (get_ov_flag ?? s) |
---|
753 | ] |
---|
754 | | DJNZ addr1 addr2 ⇒ λinstr_refl. |
---|
755 | let 〈result, flags〉 ≝ sub_8_with_carry (get_arg_8 … s true addr1) (bitvector_of_nat 8 1) false in |
---|
756 | let s ≝ set_arg_8 … s addr1 result in |
---|
757 | if ¬(eq_bv ? result (zero 8)) then |
---|
758 | let s ≝ add_ticks1 s in |
---|
759 | set_program_counter … s (addr_of addr2 s) |
---|
760 | else |
---|
761 | let s ≝ add_ticks2 s in |
---|
762 | s |
---|
763 | ] (refl … instr)) |
---|
764 | try cases other |
---|
765 | try assumption (*20s*) |
---|
766 | try (% @False) (*6s*) (* Bug exploited here to implement solve :-*) |
---|
767 | try (@(execute_1_technical … (subaddressing_modein …)) @I) (*66s*) |
---|
768 | whd in match execute_1_preinstruction; normalize nodelta |
---|
769 | [35: (* XRL *) |
---|
770 | inversion addr |
---|
771 | [1: |
---|
772 | #acc_a_others inversion acc_a_others #acc_a #others #acc_a_others_refl #addr_refl |
---|
773 | >EQP -P normalize nodelta |
---|
774 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
775 | whd in maps_assm:(??%%); |
---|
776 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
777 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
778 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
779 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
780 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
781 | whd in ⊢ (??%?); |
---|
782 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
783 | change with (set_arg_8 ????? = ?) |
---|
784 | @set_arg_8_status_of_pseudo_status try % |
---|
785 | >EQs >EQticks <instr_refl >addr_refl |
---|
786 | [1: |
---|
787 | @sym_eq @set_clock_status_of_pseudo_status |
---|
788 | [1: |
---|
789 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
790 | |2: |
---|
791 | @eq_f2 % |
---|
792 | ] |
---|
793 | |2: |
---|
794 | @(subaddressing_mode_elim … acc_a) @I |
---|
795 | |3: |
---|
796 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … acc_a … addressing_mode_ok_assm_1) |
---|
797 | [1: |
---|
798 | @(subaddressing_mode_elim … acc_a) % |
---|
799 | |4: |
---|
800 | @eq_f2 |
---|
801 | @(pose … (set_clock ????)) #status #status_refl |
---|
802 | @sym_eq @(get_arg_8_status_of_pseudo_status … status … M') >status_refl -status_refl try % |
---|
803 | [1: |
---|
804 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … acc_a … addressing_mode_ok_assm_1) |
---|
805 | [1: @(subaddressing_mode_elim … acc_a) % |*: % ] |
---|
806 | |3: |
---|
807 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … others … addressing_mode_ok_assm_2) |
---|
808 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ |*: % ] |
---|
809 | |2: |
---|
810 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … acc_a … addressing_mode_ok_assm_1) |
---|
811 | [1: @(subaddressing_mode_elim … acc_a) % |2: % ] |
---|
812 | |4: |
---|
813 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … others … addressing_mode_ok_assm_2) |
---|
814 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ |*: % ] |
---|
815 | ] |
---|
816 | |*: |
---|
817 | % |
---|
818 | ] |
---|
819 | ] |
---|
820 | |2: |
---|
821 | #direct_others inversion direct_others #direct #others #direct_others_refl #addr_refl |
---|
822 | >EQP -P normalize nodelta |
---|
823 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
824 | whd in maps_assm:(??%%); |
---|
825 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
826 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
827 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
828 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
829 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
830 | whd in ⊢ (??%?); |
---|
831 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
832 | change with (set_arg_8 ????? = ?) |
---|
833 | @set_arg_8_status_of_pseudo_status try % |
---|
834 | >EQs >EQticks <instr_refl >addr_refl |
---|
835 | [1: |
---|
836 | @sym_eq @set_clock_status_of_pseudo_status |
---|
837 | [1: |
---|
838 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
839 | |2: |
---|
840 | @eq_f2 % |
---|
841 | ] |
---|
842 | |2: |
---|
843 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … direct … addressing_mode_ok_assm_1) |
---|
844 | [1: @(subaddressing_mode_elim … direct) #w % ] % |
---|
845 | |3: |
---|
846 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … direct … addressing_mode_ok_assm_1) |
---|
847 | [1: |
---|
848 | @(subaddressing_mode_elim … direct) #w % |
---|
849 | |4: |
---|
850 | @eq_f2 |
---|
851 | @(pose … (set_clock ????)) #status #status_refl |
---|
852 | @sym_eq @(get_arg_8_status_of_pseudo_status … status … M') >status_refl -status_refl try % |
---|
853 | [1: |
---|
854 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … direct … addressing_mode_ok_assm_1) |
---|
855 | [1: @(subaddressing_mode_elim … direct) #w % |*: % ] |
---|
856 | |3: |
---|
857 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … others … addressing_mode_ok_assm_2) |
---|
858 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ |*: % ] |
---|
859 | |2: |
---|
860 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … direct … addressing_mode_ok_assm_1) |
---|
861 | [1: @(subaddressing_mode_elim … direct) #w % |2: % ] |
---|
862 | |4: |
---|
863 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … others … addressing_mode_ok_assm_2) |
---|
864 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ |*: % ] |
---|
865 | ] |
---|
866 | |*: |
---|
867 | % |
---|
868 | ] |
---|
869 | ] |
---|
870 | ] |
---|
871 | |4,5,6,7,8,9: (* INC and DEC *) |
---|
872 | cases daemon |
---|
873 | |42,44: (* RL and RR *) |
---|
874 | (* XXX: work on the right hand side *) |
---|
875 | (* XXX: switch to the left hand side *) |
---|
876 | >EQP -P normalize nodelta |
---|
877 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
878 | whd in maps_assm:(??%%); |
---|
879 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm |
---|
880 | [2,4: normalize nodelta #absurd destruct(absurd) ] |
---|
881 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
882 | whd in ⊢ (??%?); |
---|
883 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm >EQs >EQticks <instr_refl |
---|
884 | change with (set_8051_sfr ????? = ?) @set_8051_sfr_status_of_pseudo_status |
---|
885 | [2,4: |
---|
886 | >(addressing_mode_ok_to_map_address_using_internal_pseudo_address_map … addressing_mode_ok_assm) |
---|
887 | @eq_f @sym_eq @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) |
---|
888 | >(addressing_mode_ok_to_map_address_using_internal_pseudo_address_map … addressing_mode_ok_assm) |
---|
889 | % |
---|
890 | ] |
---|
891 | @sym_eq @set_clock_status_of_pseudo_status |
---|
892 | [2,4: |
---|
893 | % |
---|
894 | ] |
---|
895 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
896 | |43,45: (* RLC and RRC *) |
---|
897 | (* XXX: work on the right hand side *) |
---|
898 | (* XXX: switch to the left hand side *) |
---|
899 | >EQP -P normalize nodelta |
---|
900 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
901 | whd in maps_assm:(??%%); |
---|
902 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm |
---|
903 | [2,4: normalize nodelta #absurd destruct(absurd) ] |
---|
904 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
905 | whd in ⊢ (??%?); |
---|
906 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm >EQs >EQticks <instr_refl |
---|
907 | change with (set_8051_sfr ????? = ?) @set_8051_sfr_status_of_pseudo_status |
---|
908 | [2,4: |
---|
909 | >(addressing_mode_ok_to_map_address_using_internal_pseudo_address_map … addressing_mode_ok_assm) |
---|
910 | @eq_f2 |
---|
911 | [1,3: |
---|
912 | @sym_eq |
---|
913 | @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) |
---|
914 | >(addressing_mode_ok_to_map_address_using_internal_pseudo_address_map … addressing_mode_ok_assm) % |
---|
915 | |2,4: |
---|
916 | @sym_eq @(get_cy_flag_status_of_pseudo_status … M') |
---|
917 | @sym_eq @set_clock_status_of_pseudo_status % |
---|
918 | ] |
---|
919 | |1,3: |
---|
920 | @sym_eq @set_arg_1_status_of_pseudo_status try % |
---|
921 | @eq_f @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) |
---|
922 | >(addressing_mode_ok_to_map_address_using_internal_pseudo_address_map … addressing_mode_ok_assm) % |
---|
923 | ] |
---|
924 | |1,2: (* ADD and ADDC *) |
---|
925 | (* XXX: work on the right hand side *) |
---|
926 | (* XXX: switch to the left hand side *) |
---|
927 | >EQP -P normalize nodelta |
---|
928 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
929 | whd in maps_assm:(??%%); |
---|
930 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
931 | [2,4: normalize nodelta #absurd destruct(absurd) ] |
---|
932 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
933 | [2,4: normalize nodelta #absurd destruct(absurd) ] |
---|
934 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
935 | whd in ⊢ (??%?); |
---|
936 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm >EQs >EQticks <instr_refl |
---|
937 | whd in ⊢ (??%?); |
---|
938 | normalize nodelta >EQs >EQticks <instr_refl |
---|
939 | @let_pair_in_status_of_pseudo_status |
---|
940 | [1,3: |
---|
941 | @eq_f3 |
---|
942 | [1,2,4,5: |
---|
943 | @(pose … (set_clock ????)) #status #status_refl |
---|
944 | @sym_eq @(get_arg_8_status_of_pseudo_status … status … M') >status_refl -status_refl try % |
---|
945 | [1,5: |
---|
946 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … addr1 … addressing_mode_ok_assm_1) try % |
---|
947 | @(subaddressing_mode_elim … addr1) % |
---|
948 | |3,7: |
---|
949 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … addr2 … addressing_mode_ok_assm_2) try % |
---|
950 | /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ |
---|
951 | |2,6: |
---|
952 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … addr1 … addressing_mode_ok_assm_1) try % |
---|
953 | @(subaddressing_mode_elim … addr1) % |
---|
954 | |4,8: |
---|
955 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … addr2 … addressing_mode_ok_assm_2) try % |
---|
956 | /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ |
---|
957 | ] |
---|
958 | |3: % |
---|
959 | |6: |
---|
960 | @sym_eq @(get_cy_flag_status_of_pseudo_status M') |
---|
961 | @sym_eq @set_clock_status_of_pseudo_status % |
---|
962 | ] |
---|
963 | |2,4: |
---|
964 | #result #flags @sym_eq |
---|
965 | @set_flags_status_of_pseudo_status try % |
---|
966 | @sym_eq @set_arg_8_status_of_pseudo_status try % |
---|
967 | @(addressing_mode_ok_to_map_address_using_internal_pseudo_address_map … addressing_mode_ok_assm_1) |
---|
968 | ] |
---|
969 | |3: (* SUB *) |
---|
970 | (* XXX: work on the right hand side *) |
---|
971 | (* XXX: switch to the left hand side *) |
---|
972 | >EQP -P normalize nodelta |
---|
973 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
974 | whd in maps_assm:(??%%); |
---|
975 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
976 | [2,4: normalize nodelta #absurd destruct(absurd) ] |
---|
977 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
978 | [2,4: normalize nodelta #absurd destruct(absurd) ] |
---|
979 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
980 | whd in ⊢ (??%?); |
---|
981 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm >EQs >EQticks <instr_refl |
---|
982 | whd in ⊢ (??%?); |
---|
983 | @(pair_replace ?????????? p) |
---|
984 | [1: |
---|
985 | @eq_f3 |
---|
986 | normalize nodelta >EQs >EQticks <instr_refl |
---|
987 | [1: |
---|
988 | @(pose … (set_clock pseudo_assembly_program ???)) #status #status_refl |
---|
989 | @(get_arg_8_status_of_pseudo_status cm status … M') |
---|
990 | [1: |
---|
991 | >status_refl @sym_eq @set_clock_status_of_pseudo_status % |
---|
992 | |2: |
---|
993 | >status_refl |
---|
994 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … addr1) |
---|
995 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
996 | lapply addressing_mode_ok_assm_1 whd in match addressing_mode_ok; normalize nodelta |
---|
997 | @(subaddressing_mode_elim … addr1) |
---|
998 | |3: |
---|
999 | >status_refl |
---|
1000 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … addr1) |
---|
1001 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1002 | lapply addressing_mode_ok_assm_1 whd in match addressing_mode_ok; normalize nodelta |
---|
1003 | @(subaddressing_mode_elim … addr1) |
---|
1004 | ] |
---|
1005 | |2: |
---|
1006 | @(pose … (set_clock pseudo_assembly_program ???)) #status #status_refl |
---|
1007 | @(get_arg_8_status_of_pseudo_status cm status … M') |
---|
1008 | [1: |
---|
1009 | >status_refl @sym_eq @set_clock_status_of_pseudo_status % |
---|
1010 | |2: |
---|
1011 | >status_refl |
---|
1012 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … addr2) |
---|
1013 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1014 | lapply addressing_mode_ok_assm_1 whd in match addressing_mode_ok; normalize nodelta |
---|
1015 | cases daemon (* XXX: ??? *) |
---|
1016 | |3: |
---|
1017 | >status_refl |
---|
1018 | @(map_address_mode_using_internal_pseudo_address_map_ok1_addr … addr2) |
---|
1019 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1020 | lapply addressing_mode_ok_assm_1 whd in match addressing_mode_ok; normalize nodelta |
---|
1021 | cases daemon (* XXX: ??? *) |
---|
1022 | ] |
---|
1023 | |3: |
---|
1024 | @(get_cy_flag_status_of_pseudo_status … M') |
---|
1025 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1026 | [1: |
---|
1027 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
1028 | |2: |
---|
1029 | % |
---|
1030 | ] |
---|
1031 | ] |
---|
1032 | |2: |
---|
1033 | normalize nodelta |
---|
1034 | @(pair_replace ?????????? p) |
---|
1035 | [1: |
---|
1036 | @eq_f3 normalize nodelta >EQs >EQticks <instr_refl % |
---|
1037 | |2: |
---|
1038 | @set_flags_status_of_pseudo_status try % |
---|
1039 | @sym_eq @(set_arg_8_status_of_pseudo_status … (refl …)) |
---|
1040 | [1: |
---|
1041 | @sym_eq @set_clock_status_of_pseudo_status % |
---|
1042 | |2: |
---|
1043 | @I |
---|
1044 | |3: |
---|
1045 | @(addressing_mode_ok_to_map_address_mode_using_internal_pseudo_address_map_ok2 … ACC_A) |
---|
1046 | [1: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1047 | whd in ⊢ (??%?); |
---|
1048 | >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1049 | ] |
---|
1050 | ] |
---|
1051 | ] |
---|
1052 | |10: (* MUL *) |
---|
1053 | (* XXX: work on the right hand side *) |
---|
1054 | (* XXX: switch to the left hand side *) |
---|
1055 | >EQP -P normalize nodelta |
---|
1056 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1057 | whd in maps_assm:(??%%); |
---|
1058 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1059 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1060 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
1061 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1062 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1063 | whd in ⊢ (??%?); |
---|
1064 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm >EQs >EQticks <instr_refl |
---|
1065 | change with (set_8051_sfr ????? = ?) @set_8051_sfr_status_of_pseudo_status |
---|
1066 | [2: |
---|
1067 | whd in ⊢ (??%?); @eq_f2 try % @eq_f2 try % @eq_f2 @eq_f |
---|
1068 | @sym_eq |
---|
1069 | [1: |
---|
1070 | @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) |
---|
1071 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) |
---|
1072 | % |
---|
1073 | |2: |
---|
1074 | @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) % |
---|
1075 | ] |
---|
1076 | ] |
---|
1077 | @sym_eq @set_8051_sfr_status_of_pseudo_status |
---|
1078 | [2: |
---|
1079 | >(addressing_mode_ok_to_map_address_using_internal_pseudo_address_map … addressing_mode_ok_assm_1) |
---|
1080 | @eq_f @eq_f2 try % @eq_f2 @eq_f |
---|
1081 | @sym_eq |
---|
1082 | [1: |
---|
1083 | @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) |
---|
1084 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1085 | |2: |
---|
1086 | @(get_8051_sfr_status_of_pseudo_status M' … policy … (refl …)) % |
---|
1087 | ] |
---|
1088 | ] |
---|
1089 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1090 | [2: |
---|
1091 | @eq_f % |
---|
1092 | ] |
---|
1093 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
1094 | |11,12: (* DIV *) |
---|
1095 | (* XXX: work on the right hand side *) |
---|
1096 | (* XXX: switch to the left hand side *) |
---|
1097 | >EQP -P normalize nodelta |
---|
1098 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1099 | whd in maps_assm:(??%%); |
---|
1100 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1101 | [2,4: normalize nodelta #absurd destruct(absurd) ] |
---|
1102 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
1103 | [2,4: normalize nodelta #absurd destruct(absurd) ] |
---|
1104 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1105 | whd in ⊢ (??%?); |
---|
1106 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm >EQs >EQticks <instr_refl |
---|
1107 | whd in ⊢ (??%?); normalize nodelta |
---|
1108 | cases daemon (* XXX: need match_nat_replace but is not working! *) |
---|
1109 | |13: (* DA *) |
---|
1110 | (* XXX: work on the right hand side *) |
---|
1111 | (* XXX: switch to the left hand side *) |
---|
1112 | >EQP -P normalize nodelta |
---|
1113 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1114 | whd in maps_assm:(??%%); |
---|
1115 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1116 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1117 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1118 | whd in ⊢ (??%?); |
---|
1119 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1120 | whd in ⊢ (??%?); normalize nodelta |
---|
1121 | @(pair_replace ?????????? p) |
---|
1122 | [1: |
---|
1123 | @eq_f normalize nodelta >EQs >EQticks <instr_refl |
---|
1124 | @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) |
---|
1125 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1126 | |2: |
---|
1127 | @(pair_replace ?????????? p) |
---|
1128 | [1: |
---|
1129 | @eq_f normalize nodelta >EQs >EQticks <instr_refl % |
---|
1130 | |2: |
---|
1131 | @(if_then_else_replace ???????? p1) normalize nodelta |
---|
1132 | [1: |
---|
1133 | cases (gtb ? 9) |
---|
1134 | [1: |
---|
1135 | % |
---|
1136 | |2: |
---|
1137 | change with (get_ac_flag ??? = get_ac_flag ???) |
---|
1138 | @(get_ac_flag_status_of_pseudo_status M') |
---|
1139 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1140 | >EQs >EQticks <instr_refl % |
---|
1141 | ] |
---|
1142 | |2: |
---|
1143 | @(if_then_else_replace ???????? p1) normalize nodelta try % |
---|
1144 | @(pair_replace ?????????? p2) |
---|
1145 | [1: |
---|
1146 | @eq_f3 try % normalize nodelta |
---|
1147 | @(get_8051_sfr_status_of_pseudo_status M' … policy … (refl …)) |
---|
1148 | whd in ⊢ (??%?); |
---|
1149 | >EQs >EQticks <instr_refl >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1150 | |2: |
---|
1151 | @(pair_replace ?????????? p2) try % |
---|
1152 | @(pair_replace ?????????? p3) try % |
---|
1153 | @(pair_replace ?????????? p3) try % |
---|
1154 | @(if_then_else_replace ???????? p4) try % normalize nodelta |
---|
1155 | @(if_then_else_replace ???????? p4) try % normalize nodelta |
---|
1156 | @(pair_replace ?????????? p5) try % |
---|
1157 | @(pair_replace ?????????? p5) try % |
---|
1158 | @set_flags_status_of_pseudo_status try % |
---|
1159 | [1: |
---|
1160 | @eq_f @(get_ac_flag_status_of_pseudo_status M') |
---|
1161 | @sym_eq @set_8051_sfr_status_of_pseudo_status |
---|
1162 | [1: |
---|
1163 | @sym_eq @set_clock_status_of_pseudo_status >EQs >EQticks <instr_refl % |
---|
1164 | |2: |
---|
1165 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1166 | ] |
---|
1167 | |2: |
---|
1168 | @(get_ov_flag_status_of_pseudo_status M') |
---|
1169 | @sym_eq @set_8051_sfr_status_of_pseudo_status |
---|
1170 | [1: |
---|
1171 | @sym_eq @set_clock_status_of_pseudo_status >EQs >EQticks <instr_refl % |
---|
1172 | |2: |
---|
1173 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1174 | ] |
---|
1175 | |3: |
---|
1176 | @sym_eq @set_8051_sfr_status_of_pseudo_status |
---|
1177 | [1: |
---|
1178 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1179 | [1: |
---|
1180 | >EQs |
---|
1181 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
1182 | |2: |
---|
1183 | >EQs >EQticks <instr_refl % |
---|
1184 | ] |
---|
1185 | |2: |
---|
1186 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1187 | ] |
---|
1188 | ] |
---|
1189 | ] |
---|
1190 | ] |
---|
1191 | ] |
---|
1192 | ] |
---|
1193 | |14: (* DA *) |
---|
1194 | (* XXX: work on the right hand side *) |
---|
1195 | (* XXX: switch to the left hand side *) |
---|
1196 | >EQP -P normalize nodelta |
---|
1197 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1198 | whd in maps_assm:(??%%); |
---|
1199 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1200 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1201 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1202 | whd in ⊢ (??%?); |
---|
1203 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1204 | whd in ⊢ (??%?); normalize nodelta |
---|
1205 | @(pair_replace ?????????? p) |
---|
1206 | [1: |
---|
1207 | @eq_f normalize nodelta >EQs >EQticks <instr_refl |
---|
1208 | @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) |
---|
1209 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1210 | |2: |
---|
1211 | @(pair_replace ?????????? p) |
---|
1212 | [1: |
---|
1213 | @eq_f normalize nodelta >EQs >EQticks <instr_refl % |
---|
1214 | |2: |
---|
1215 | @(if_then_else_replace ???????? p1) normalize nodelta |
---|
1216 | [1: |
---|
1217 | cases (gtb ? 9) |
---|
1218 | [1: |
---|
1219 | % |
---|
1220 | |2: |
---|
1221 | change with (get_ac_flag ??? = get_ac_flag ???) |
---|
1222 | @(get_ac_flag_status_of_pseudo_status M') |
---|
1223 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1224 | >EQs >EQticks <instr_refl % |
---|
1225 | ] |
---|
1226 | |2: |
---|
1227 | @(if_then_else_replace ???????? p1) normalize nodelta try % |
---|
1228 | @(pair_replace ?????????? p2) |
---|
1229 | [1: |
---|
1230 | @eq_f3 try % normalize nodelta |
---|
1231 | @(get_8051_sfr_status_of_pseudo_status M' … policy … (refl …)) |
---|
1232 | whd in ⊢ (??%?); |
---|
1233 | >EQs >EQticks <instr_refl >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1234 | |2: |
---|
1235 | @(pair_replace ?????????? p2) try % |
---|
1236 | @(pair_replace ?????????? p3) try % |
---|
1237 | @(pair_replace ?????????? p3) try % |
---|
1238 | @(if_then_else_replace ???????? p4) try % normalize nodelta |
---|
1239 | @(if_then_else_replace ???????? p4) try % normalize nodelta |
---|
1240 | @set_clock_status_of_pseudo_status |
---|
1241 | [1: |
---|
1242 | >EQs |
---|
1243 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
1244 | |2: |
---|
1245 | >EQs >EQticks <instr_refl % |
---|
1246 | ] |
---|
1247 | ] |
---|
1248 | ] |
---|
1249 | ] |
---|
1250 | ] |
---|
1251 | |15: (* DA *) |
---|
1252 | (* XXX: work on the right hand side *) |
---|
1253 | (* XXX: switch to the left hand side *) |
---|
1254 | >EQP -P normalize nodelta |
---|
1255 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1256 | whd in maps_assm:(??%%); |
---|
1257 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1258 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1259 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1260 | whd in ⊢ (??%?); |
---|
1261 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1262 | whd in ⊢ (??%?); normalize nodelta |
---|
1263 | @(pair_replace ?????????? p) |
---|
1264 | [1: |
---|
1265 | @eq_f normalize nodelta >EQs >EQticks <instr_refl |
---|
1266 | @(get_8051_sfr_status_of_pseudo_status … policy … (refl …)) |
---|
1267 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addressing_mode_ok_assm_1) % |
---|
1268 | |2: |
---|
1269 | @(pair_replace ?????????? p) |
---|
1270 | [1: |
---|
1271 | @eq_f normalize nodelta >EQs >EQticks <instr_refl % |
---|
1272 | |2: |
---|
1273 | @(if_then_else_replace ???????? p1) normalize nodelta |
---|
1274 | [1: |
---|
1275 | cases (gtb ? 9) |
---|
1276 | [1: |
---|
1277 | % |
---|
1278 | |2: |
---|
1279 | change with (get_ac_flag ??? = get_ac_flag ???) |
---|
1280 | @(get_ac_flag_status_of_pseudo_status M') |
---|
1281 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1282 | >EQs >EQticks <instr_refl % |
---|
1283 | ] |
---|
1284 | |2: |
---|
1285 | @(if_then_else_replace ???????? p1) normalize nodelta try % |
---|
1286 | @set_clock_status_of_pseudo_status |
---|
1287 | [1: |
---|
1288 | >EQs |
---|
1289 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
1290 | |2: |
---|
1291 | >EQs >EQticks <instr_refl % |
---|
1292 | ] |
---|
1293 | ] |
---|
1294 | ] |
---|
1295 | ] |
---|
1296 | |36: (* CLR *) |
---|
1297 | >EQP -P normalize nodelta |
---|
1298 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1299 | whd in maps_assm:(??%%); |
---|
1300 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1301 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1302 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1303 | whd in ⊢ (??%?); |
---|
1304 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1305 | whd in ⊢ (??%?); normalize nodelta |
---|
1306 | generalize in match (subaddressing_modein ?? addr); <EQaddr in ⊢ (? → %); |
---|
1307 | normalize nodelta #subaddressing_modein_witness |
---|
1308 | @set_arg_8_status_of_pseudo_status try % |
---|
1309 | [1: |
---|
1310 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1311 | >EQs >EQticks <instr_refl % |
---|
1312 | |2: |
---|
1313 | whd in ⊢ (??%?); |
---|
1314 | >(addressing_mode_ok_to_snd_M_data M' cm … addr addressing_mode_ok_assm_1) |
---|
1315 | [2: <EQaddr % ] % |
---|
1316 | ] |
---|
1317 | |37: (* CLR *) |
---|
1318 | >EQP -P normalize nodelta |
---|
1319 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1320 | whd in maps_assm:(??%%); |
---|
1321 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1322 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1323 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1324 | whd in ⊢ (??%?); |
---|
1325 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1326 | whd in ⊢ (??%?); normalize nodelta |
---|
1327 | generalize in match (subaddressing_modein ?? addr); <EQaddr in ⊢ (? → %); |
---|
1328 | normalize nodelta #subaddressing_modein_witness |
---|
1329 | @set_arg_1_status_of_pseudo_status try % |
---|
1330 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1331 | >EQs >EQticks <instr_refl % |
---|
1332 | |38: (* CLR *) |
---|
1333 | >EQP -P normalize nodelta |
---|
1334 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1335 | whd in maps_assm:(??%%); |
---|
1336 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1337 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1338 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1339 | whd in ⊢ (??%?); |
---|
1340 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1341 | whd in ⊢ (??%?); normalize nodelta |
---|
1342 | generalize in match (subaddressing_modein ?? addr); <EQaddr in ⊢ (? → %); |
---|
1343 | normalize nodelta #subaddressing_modein_witness |
---|
1344 | @set_arg_1_status_of_pseudo_status try % |
---|
1345 | [1: |
---|
1346 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1347 | >EQs >EQticks <instr_refl % |
---|
1348 | |*: |
---|
1349 | (* XXX: ??? *) |
---|
1350 | cases daemon |
---|
1351 | ] |
---|
1352 | |39: (* CPL *) |
---|
1353 | >EQP -P normalize nodelta |
---|
1354 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1355 | whd in maps_assm:(??%%); |
---|
1356 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1357 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1358 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1359 | whd in ⊢ (??%?); |
---|
1360 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1361 | whd in ⊢ (??%?); normalize nodelta |
---|
1362 | generalize in match (subaddressing_modein ?? addr); <EQaddr in ⊢ (? → %); |
---|
1363 | normalize nodelta #subaddressing_modein_witness |
---|
1364 | @set_8051_sfr_status_of_pseudo_status |
---|
1365 | [1: |
---|
1366 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1367 | >EQs >EQticks <instr_refl % |
---|
1368 | |2: |
---|
1369 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data M' cm … addr addressing_mode_ok_assm_1) |
---|
1370 | [2: <EQaddr % ] normalize nodelta @eq_f |
---|
1371 | @(pose … (set_clock ????)) #status #status_refl |
---|
1372 | @sym_eq @(get_8051_sfr_status_of_pseudo_status M' … status) >status_refl |
---|
1373 | >EQs >EQticks <instr_refl try % |
---|
1374 | whd in ⊢ (??%?); >(addressing_mode_ok_to_snd_M_data … addr addressing_mode_ok_assm_1) |
---|
1375 | [2: <EQaddr % ] % |
---|
1376 | ] |
---|
1377 | |40: (* CPL *) |
---|
1378 | >EQP -P normalize nodelta |
---|
1379 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1380 | whd in maps_assm:(??%%); |
---|
1381 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1382 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1383 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1384 | whd in ⊢ (??%?); |
---|
1385 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1386 | whd in ⊢ (??%?); normalize nodelta |
---|
1387 | generalize in match (subaddressing_modein ?? addr); <EQaddr in ⊢ (? → %); |
---|
1388 | normalize nodelta #subaddressing_modein_witness |
---|
1389 | @set_arg_1_status_of_pseudo_status try % |
---|
1390 | [1: |
---|
1391 | @eq_f @(get_arg_1_status_of_pseudo_status … M') try % |
---|
1392 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1393 | >EQs >EQticks <instr_refl <EQaddr % |
---|
1394 | |2: |
---|
1395 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1396 | >EQs >EQticks <instr_refl <EQaddr % |
---|
1397 | ] |
---|
1398 | |41: (* CPL *) |
---|
1399 | >EQP -P normalize nodelta |
---|
1400 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1401 | whd in maps_assm:(??%%); |
---|
1402 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1403 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1404 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1405 | whd in ⊢ (??%?); |
---|
1406 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1407 | whd in ⊢ (??%?); normalize nodelta |
---|
1408 | generalize in match (subaddressing_modein ?? addr); <EQaddr in ⊢ (? → %); |
---|
1409 | normalize nodelta #subaddressing_modein_witness |
---|
1410 | @set_arg_1_status_of_pseudo_status |
---|
1411 | [1: |
---|
1412 | @eq_f |
---|
1413 | @(pose … (set_clock ????)) #status #status_refl |
---|
1414 | @(get_arg_1_status_of_pseudo_status … M' … status) try % >status_refl |
---|
1415 | >EQs >EQticks <instr_refl <EQaddr |
---|
1416 | [1: |
---|
1417 | @sym_eq @set_clock_status_of_pseudo_status % |
---|
1418 | |2: |
---|
1419 | (* XXX: ??? *) |
---|
1420 | cases daemon |
---|
1421 | ] |
---|
1422 | |2: |
---|
1423 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1424 | >EQs >EQticks <instr_refl <EQaddr % |
---|
1425 | |*: |
---|
1426 | (* XXX: same as above, provable but tedious *) |
---|
1427 | cases daemon |
---|
1428 | ] |
---|
1429 | |33: (* (* ANL *) |
---|
1430 | (* XXX: work on the right hand side *) |
---|
1431 | (* XXX: switch to the left hand side *) |
---|
1432 | >EQP -P normalize nodelta lapply instr_refl |
---|
1433 | inversion addr |
---|
1434 | [1: |
---|
1435 | #addr' #addr_refl' |
---|
1436 | inversion addr' |
---|
1437 | #instr_refl #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} lapply maps_assm |
---|
1438 | whd in ⊢ (??%? → ?); normalize nodelta cases addr |
---|
1439 | [1: |
---|
1440 | #acc_a #others normalize nodelta |
---|
1441 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_1 |
---|
1442 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1443 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
1444 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1445 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1446 | whd in ⊢ (??%?); |
---|
1447 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1448 | whd in ⊢ (??%?); normalize nodelta |
---|
1449 | inversion addr #addr1 #addr2 |
---|
1450 | @(subaddressing_mode_elim … addr1) @(subaddressing_mode_elim … acc_a) |
---|
1451 | @(subaddressing_mode_elim … addr2) |
---|
1452 | @set_arg_8_status_of_pseudo_status #addr_refl normalize nodelta try % |
---|
1453 | [1: |
---|
1454 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1455 | >EQs >EQticks <addr_refl <instr_refl |
---|
1456 | [1: |
---|
1457 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
1458 | |2: |
---|
1459 | @eq_f2 |
---|
1460 | [1: |
---|
1461 | >addr_refl @(subaddressing_mode_elim … addr1) % |
---|
1462 | |2: |
---|
1463 | @(clock_status_of_pseudo_status M') |
---|
1464 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
1465 | ] |
---|
1466 | ] |
---|
1467 | |2: |
---|
1468 | cases daemon (* XXX: matita dies here *) |
---|
1469 | ] |
---|
1470 | |2: |
---|
1471 | #direct #others |
---|
1472 | @pair_elim #direct' #others' #direct_others_refl' destruct(direct_others_refl') normalize nodelta |
---|
1473 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_1 |
---|
1474 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1475 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
1476 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1477 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1478 | whd in ⊢ (??%?); |
---|
1479 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1480 | whd in ⊢ (??%?); normalize nodelta |
---|
1481 | inversion addr #addr1 #addr2 |
---|
1482 | @(subaddressing_mode_elim … addr1) @(subaddressing_mode_elim … addr2) |
---|
1483 | [1: #w |2: #w1 #w2 ] #addr_refl normalize nodelta |
---|
1484 | @set_arg_8_status_of_pseudo_status |
---|
1485 | ] |
---|
1486 | |2: |
---|
1487 | -addr #addr #instr_refl #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} lapply maps_assm |
---|
1488 | whd in ⊢ (??%? → ?); normalize nodelta cases addr #carry #others normalize nodelta |
---|
1489 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_1 |
---|
1490 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1491 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_assm_2 |
---|
1492 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1493 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1494 | whd in ⊢ (??%?); |
---|
1495 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1496 | whd in ⊢ (??%?); normalize nodelta |
---|
1497 | inversion addr #addr1 #addr2 #addr_refl normalize nodelta |
---|
1498 | @set_flags_status_of_pseudo_status try % |
---|
1499 | [1: |
---|
1500 | @conjunction_split |
---|
1501 | [1: |
---|
1502 | @(get_cy_flag_status_of_pseudo_status M') |
---|
1503 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1504 | >EQs >EQticks <addr_refl <instr_refl % |
---|
1505 | |2: |
---|
1506 | >EQs >EQticks <addr_refl <instr_refl normalize nodelta |
---|
1507 | (* XXX: can't get get_arg_1_status_of_pseudo_status to apply *) |
---|
1508 | cases daemon |
---|
1509 | ] |
---|
1510 | |2: |
---|
1511 | @(get_ov_flag_status_of_pseudo_status M') |
---|
1512 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1513 | >EQs >EQticks <instr_refl <addr_refl % |
---|
1514 | |3: |
---|
1515 | @sym_eq @set_clock_status_of_pseudo_status |
---|
1516 | >EQs >EQticks <instr_refl <addr_refl % |
---|
1517 | ] |
---|
1518 | ] |
---|
1519 | whd in maps_assm:(??%%); |
---|
1520 | inversion (addressing_mode_ok ?????) in maps_assm; #addressing_mode_ok_assm_1 |
---|
1521 | [2: normalize nodelta #absurd destruct(absurd) ] |
---|
1522 | normalize nodelta @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1523 | whd in ⊢ (??%?); |
---|
1524 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1525 | whd in ⊢ (??%?); normalize nodelta *) |
---|
1526 | |16: (* JC *) |
---|
1527 | (* XXX: work on the right hand side *) |
---|
1528 | (* XXX: switch to the left hand side *) |
---|
1529 | >EQP -P normalize nodelta |
---|
1530 | #sigma_increment_commutation #maps_assm |
---|
1531 | whd in match expand_pseudo_instruction; normalize nodelta |
---|
1532 | whd in match expand_relative_jump; normalize nodelta |
---|
1533 | whd in match expand_relative_jump_internal; normalize nodelta |
---|
1534 | @pair_elim #sj_possible #disp #sj_possible_disp_refl normalize nodelta |
---|
1535 | inversion sj_possible #sj_possible_refl |
---|
1536 | [1: |
---|
1537 | #fetch_many_assm %{1} |
---|
1538 | whd in maps_assm:(??%%); |
---|
1539 | lapply maps_assm @Some_Some_elim #Mrefl destruct(Mrefl) |
---|
1540 | whd in ⊢ (??%?); normalize nodelta |
---|
1541 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm |
---|
1542 | whd in ⊢ (??%?); normalize nodelta |
---|
1543 | @(if_then_else_replace ???????? p) normalize nodelta |
---|
1544 | [1: |
---|
1545 | >EQs @(get_cy_flag_status_of_pseudo_status M') |
---|
1546 | @sym_eq @set_program_counter_status_of_pseudo_status % |
---|
1547 | |2: |
---|
1548 | @(if_then_else_replace ???????? p) normalize nodelta try % |
---|
1549 | >EQs >EQticks <instr_refl |
---|
1550 | @set_program_counter_status_of_pseudo_status |
---|
1551 | [1: |
---|
1552 | >EQaddr_of normalize nodelta |
---|
1553 | whd in match addr_of_relative; normalize nodelta |
---|
1554 | whd in match (program_counter ???); |
---|
1555 | check address_of_word_labels_code_mem_Some_hit |
---|
1556 | >EQlookup_labels |
---|
1557 | |
---|
1558 | >sigma_increment_commutation |
---|
1559 | whd in match assembly_1_pseudoinstruction; normalize nodelta |
---|
1560 | whd in match expand_pseudo_instruction; normalize nodelta |
---|
1561 | whd in match expand_relative_jump; normalize nodelta |
---|
1562 | whd in match expand_relative_jump_internal; normalize nodelta |
---|
1563 | @(pair_replace ?????????? (eq_to_jmeq … sj_possible_disp_refl)) |
---|
1564 | [1: |
---|
1565 | >EQppc % |
---|
1566 | |2: |
---|
1567 | >sj_possible_refl normalize nodelta normalize in match (length ??); |
---|
1568 | lapply sigma_increment_commutation |
---|
1569 | whd in match assembly_1_pseudoinstruction; normalize nodelta |
---|
1570 | whd in match (length ??); normalize nodelta |
---|
1571 | cases daemon |
---|
1572 | (* XXX: missing invariant? *) |
---|
1573 | ] |
---|
1574 | |2: |
---|
1575 | @sym_eq @set_clock_status_of_pseudo_status try % |
---|
1576 | @eq_f2 try % whd in ⊢ (??%%); |
---|
1577 | whd in match ticks_of0; normalize nodelta lapply sigma_increment_commutation |
---|
1578 | whd in match assembly_1_pseudoinstruction; normalize nodelta |
---|
1579 | whd in match expand_pseudo_instruction; normalize nodelta |
---|
1580 | whd in match expand_relative_jump; normalize nodelta |
---|
1581 | whd in match expand_relative_jump_internal; normalize nodelta |
---|
1582 | @(pair_replace ?????????? (eq_to_jmeq … sj_possible_disp_refl)) |
---|
1583 | [1: |
---|
1584 | @eq_f2 try % >EQppc % |
---|
1585 | |2: |
---|
1586 | @(pair_replace ?????????? (eq_to_jmeq … sj_possible_disp_refl)) |
---|
1587 | [1: |
---|
1588 | @eq_f2 try % (* XXX: finish, use Jaap's invariant *) |
---|
1589 | cases daemon |
---|
1590 | |2: |
---|
1591 | #_ >sj_possible_refl % |
---|
1592 | ] |
---|
1593 | ] |
---|
1594 | ] |
---|
1595 | ] |
---|
1596 | |2: |
---|
1597 | normalize nodelta >EQppc |
---|
1598 | * @(pose … (add 16 ??)) #intermediate_pc #EQintermediate_pc #fetch_refl |
---|
1599 | * @(pose … (add 16 ??)) #intermediate_pc' #EQintermediate_pc' #fetch_refl' |
---|
1600 | * @(pose … (add 16 ??)) #intermediate_pc'' #EQintermediate_pc'' #fetch_refl'' |
---|
1601 | #fetch_many_assm whd in fetch_many_assm; %{2} |
---|
1602 | change with (execute_1 ?? = ?) |
---|
1603 | @(pose … (execute_1 ? (status_of_pseudo_status …))) |
---|
1604 | #status_after_1 #EQstatus_after_1 |
---|
1605 | cases daemon (* XXX: ??? *) |
---|
1606 | ] |
---|
1607 | ] |
---|
1608 | qed. |
---|
1609 | |
---|
1610 | (* |
---|
1611 | (* XXX: work on the left hand side *) |
---|
1612 | (* XXX: switch to the right hand side *) |
---|
1613 | normalize nodelta >EQs -s >EQticks -ticks |
---|
1614 | whd in ⊢ (??%%); |
---|
1615 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
1616 | cases daemon |
---|
1617 | |11,12: (* DIV *) |
---|
1618 | (* XXX: work on the right hand side *) |
---|
1619 | normalize nodelta in p; |
---|
1620 | >p normalize nodelta |
---|
1621 | (* XXX: switch to the left hand side *) |
---|
1622 | -instr_refl >EQP -P normalize nodelta |
---|
1623 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1624 | whd in ⊢ (??%?); |
---|
1625 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
1626 | @(pose … (nat_of_bitvector 8 ?)) #pose_assm #pose_refl |
---|
1627 | >(?: pose_assm = 0) normalize nodelta |
---|
1628 | [2,4: |
---|
1629 | <p >pose_refl |
---|
1630 | cases daemon |
---|
1631 | |1,3: |
---|
1632 | (* XXX: switch to the right hand side *) |
---|
1633 | >EQs -s >EQticks -ticks |
---|
1634 | whd in ⊢ (??%%); |
---|
1635 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
1636 | @split_eq_status try % |
---|
1637 | cases daemon |
---|
1638 | ] |
---|
1639 | |13,14,15: (* DA *) |
---|
1640 | (* XXX: work on the right hand side *) |
---|
1641 | >p normalize nodelta |
---|
1642 | >p1 normalize nodelta |
---|
1643 | try (>p2 normalize nodelta |
---|
1644 | try (>p3 normalize nodelta |
---|
1645 | try (>p4 normalize nodelta |
---|
1646 | try (>p5 normalize nodelta)))) |
---|
1647 | (* XXX: switch to the left hand side *) |
---|
1648 | -instr_refl >EQP -P normalize nodelta |
---|
1649 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1650 | whd in ⊢ (??%?); |
---|
1651 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
1652 | (* XXX: work on the left hand side *) |
---|
1653 | @(pair_replace ?????????? p) |
---|
1654 | [1,3,5: |
---|
1655 | /demod/ |
---|
1656 | cases daemon |
---|
1657 | |2,4,6: |
---|
1658 | @(if_then_else_replace ???????? p1) |
---|
1659 | [1,3,5: |
---|
1660 | cases daemon |
---|
1661 | |2,4: |
---|
1662 | normalize nodelta |
---|
1663 | @(pair_replace ?????????? p2) |
---|
1664 | [1,3: |
---|
1665 | cases daemon |
---|
1666 | |2,4: |
---|
1667 | normalize nodelta >p3 normalize nodelta |
---|
1668 | >p4 normalize nodelta try >p5 |
---|
1669 | ] |
---|
1670 | ] |
---|
1671 | (* XXX: switch to the right hand side *) |
---|
1672 | normalize nodelta >EQs -s >EQticks -ticks |
---|
1673 | whd in ⊢ (??%%); |
---|
1674 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
1675 | @split_eq_status try % |
---|
1676 | cases daemon |
---|
1677 | ] |
---|
1678 | |33,34,35,48: (* ANL, ORL, XRL, MOVX *) |
---|
1679 | (* XXX: work on the right hand side *) |
---|
1680 | cases addr #addr' normalize nodelta |
---|
1681 | [1,3: |
---|
1682 | cases addr' #addr'' normalize nodelta |
---|
1683 | ] |
---|
1684 | @pair_elim #lft #rgt #lft_rgt_refl >lft_rgt_refl normalize nodelta |
---|
1685 | (* XXX: switch to the left hand side *) |
---|
1686 | -instr_refl >EQP -P normalize nodelta |
---|
1687 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1688 | whd in ⊢ (??%?); |
---|
1689 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
1690 | (* XXX: work on the left hand side *) |
---|
1691 | (* XXX: switch to the right hand side *) |
---|
1692 | normalize nodelta >EQs -s >EQticks -ticks |
---|
1693 | whd in ⊢ (??%%); |
---|
1694 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
1695 | cases daemon |
---|
1696 | |47: (* MOV *) |
---|
1697 | (* XXX: work on the right hand side *) |
---|
1698 | cases addr -addr #addr normalize nodelta |
---|
1699 | [1: |
---|
1700 | cases addr #addr normalize nodelta |
---|
1701 | [1: |
---|
1702 | cases addr #addr normalize nodelta |
---|
1703 | [1: |
---|
1704 | cases addr #addr normalize nodelta |
---|
1705 | [1: |
---|
1706 | cases addr #addr normalize nodelta |
---|
1707 | ] |
---|
1708 | ] |
---|
1709 | ] |
---|
1710 | ] |
---|
1711 | cases addr #lft #rgt normalize nodelta |
---|
1712 | (* XXX: switch to the left hand side *) |
---|
1713 | >EQP -P normalize nodelta |
---|
1714 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
1715 | whd in ⊢ (??%?); |
---|
1716 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
1717 | (* XXX: work on the left hand side *) |
---|
1718 | (* XXX: switch to the right hand side *) |
---|
1719 | normalize nodelta >EQs -s >EQticks -ticks |
---|
1720 | whd in ⊢ (??%%); |
---|
1721 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
1722 | cases daemon |
---|
1723 | ] |
---|
1724 | *) |
---|
1725 | |
---|
1726 | |
---|
1727 | (* [31,32: (* DJNZ *) |
---|
1728 | (* XXX: work on the right hand side *) |
---|
1729 | >p normalize nodelta >p1 normalize nodelta |
---|
1730 | (* XXX: switch to the left hand side *) |
---|
1731 | >EQP -P normalize nodelta |
---|
1732 | #sigma_increment_commutation #maps_assm #fetch_many_assm |
---|
1733 | whd in match (expand_pseudo_instruction ??????) in fetch_many_assm; |
---|
1734 | <EQppc in fetch_many_assm; |
---|
1735 | whd in match (short_jump_cond ??); |
---|
1736 | @pair_elim #sj_possible #disp |
---|
1737 | @pair_elim #result #flags #sub16_refl |
---|
1738 | @pair_elim #upper #lower #vsplit_refl |
---|
1739 | inversion (get_index' bool ???) #get_index_refl' normalize nodelta |
---|
1740 | #sj_possible_pair destruct(sj_possible_pair) |
---|
1741 | >p1 normalize nodelta |
---|
1742 | [1,3: |
---|
1743 | >EQppc in ⊢ (% → ?); #fetch_many_assm %{1} |
---|
1744 | >(sub16_with_carry_overflow … sub16_refl vsplit_refl get_index_refl') in fetch_many_assm; |
---|
1745 | normalize nodelta in ⊢ (% → ?); #fetch_many_assm |
---|
1746 | whd in ⊢ (??%?); |
---|
1747 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
1748 | lapply maps_assm whd in ⊢ (??%? → ?); |
---|
1749 | inversion (addressing_mode_ok ?????) #addressing_mode_ok_refl normalize nodelta |
---|
1750 | [2,4: #absurd destruct(absurd) ] @Some_Some_elim #Mrefl <Mrefl -M' |
---|
1751 | (* XXX: work on the left hand side *) |
---|
1752 | @(pair_replace ?????????? p) normalize nodelta |
---|
1753 | [1,3: |
---|
1754 | >EQs @eq_f3 [2,3,5,6: % ] >(get_arg_8_set_program_counter … true addr1) |
---|
1755 | [2,4: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1756 | >(get_arg_8_set_program_counter … true addr1) |
---|
1757 | [2,4: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1758 | @get_arg_8_pseudo_addressing_mode_ok assumption |
---|
1759 | |2,4: |
---|
1760 | >p1 normalize nodelta >EQs |
---|
1761 | alias id "set_program_counter_status_of_pseudo_status" = "cic:/matita/cerco/ASM/Test/set_program_counter_status_of_pseudo_status.def(26)". |
---|
1762 | >set_program_counter_status_of_pseudo_status |
---|
1763 | whd in ⊢ (??%%); |
---|
1764 | @split_eq_status |
---|
1765 | [1,10: |
---|
1766 | whd in ⊢ (??%%); >set_arg_8_set_program_counter |
---|
1767 | [2,4: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1768 | >low_internal_ram_set_program_counter |
---|
1769 | [1: |
---|
1770 | >low_internal_ram_set_program_counter |
---|
1771 | (* XXX: ??? *) |
---|
1772 | |2: |
---|
1773 | >low_internal_ram_set_clock |
---|
1774 | (* XXX: ??? *) |
---|
1775 | ] |
---|
1776 | |2,11: |
---|
1777 | whd in ⊢ (??%%); >set_arg_8_set_program_counter |
---|
1778 | [2,4: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1779 | >high_internal_ram_set_program_counter |
---|
1780 | [1: |
---|
1781 | >high_internal_ram_set_program_counter |
---|
1782 | (* XXX: ??? *) |
---|
1783 | |2: |
---|
1784 | >high_internal_ram_set_clock |
---|
1785 | (* XXX: ??? *) |
---|
1786 | ] |
---|
1787 | |3,12: |
---|
1788 | whd in ⊢ (??%%); >(external_ram_set_arg_8 ??? addr1) in ⊢ (???%); |
---|
1789 | [2,4: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1790 | >(external_ram_set_arg_8 ??? addr1) |
---|
1791 | [2,4: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] % |
---|
1792 | |4,13: |
---|
1793 | whd in ⊢ (??%%); >EQaddr_of normalize nodelta |
---|
1794 | [1: |
---|
1795 | >program_counter_set_program_counter |
---|
1796 | >set_arg_8_set_program_counter |
---|
1797 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1798 | >set_clock_set_program_counter >program_counter_set_program_counter |
---|
1799 | change with (add ??? = ?) |
---|
1800 | (* XXX: ??? *) |
---|
1801 | |2: |
---|
1802 | >set_arg_8_set_program_counter |
---|
1803 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1804 | >program_counter_set_program_counter |
---|
1805 | >set_arg_8_set_program_counter |
---|
1806 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1807 | >set_clock_set_program_counter >program_counter_set_program_counter |
---|
1808 | >sigma_increment_commutation <EQppc |
---|
1809 | whd in match (assembly_1_pseudoinstruction ??????); |
---|
1810 | whd in match (expand_pseudo_instruction ??????); |
---|
1811 | (* XXX: ??? *) |
---|
1812 | ] |
---|
1813 | |5,14: |
---|
1814 | whd in match (special_function_registers_8051 ???); |
---|
1815 | [1: |
---|
1816 | >special_function_registers_8051_set_program_counter |
---|
1817 | >special_function_registers_8051_set_clock |
---|
1818 | >set_arg_8_set_program_counter in ⊢ (???%); |
---|
1819 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1820 | >special_function_registers_8051_set_program_counter |
---|
1821 | >set_arg_8_set_program_counter |
---|
1822 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1823 | >special_function_registers_8051_set_program_counter |
---|
1824 | @special_function_registers_8051_set_arg_8 assumption |
---|
1825 | |2: |
---|
1826 | >special_function_registers_8051_set_clock |
---|
1827 | >set_arg_8_set_program_counter |
---|
1828 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1829 | >set_arg_8_set_program_counter |
---|
1830 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1831 | >special_function_registers_8051_set_program_counter |
---|
1832 | >special_function_registers_8051_set_program_counter |
---|
1833 | @special_function_registers_8051_set_arg_8 assumption |
---|
1834 | ] |
---|
1835 | |6,15: |
---|
1836 | whd in match (special_function_registers_8052 ???); |
---|
1837 | whd in match (special_function_registers_8052 ???) in ⊢ (???%); |
---|
1838 | [1: |
---|
1839 | >set_arg_8_set_program_counter |
---|
1840 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1841 | >set_arg_8_set_program_counter |
---|
1842 | [2: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1843 | >special_function_registers_8052_set_program_counter |
---|
1844 | >special_function_registers_8052_set_program_counter |
---|
1845 | @special_function_registers_8052_set_arg_8 assumption |
---|
1846 | |2: |
---|
1847 | whd in ⊢ (??%%); |
---|
1848 | >special_function_registers_8052_set_arg_8 in ⊢ (??%?); assumption |
---|
1849 | ] |
---|
1850 | (* XXX: we need special_function_registers_8052_set_arg_8 *) |
---|
1851 | |7,16: |
---|
1852 | whd in match (p1_latch ???); |
---|
1853 | whd in match (p1_latch ???) in ⊢ (???%); |
---|
1854 | (* XXX: we need p1_latch_8052_set_arg_8 *) |
---|
1855 | |8,17: |
---|
1856 | whd in match (p3_latch ???); |
---|
1857 | whd in match (p3_latch ???) in ⊢ (???%); |
---|
1858 | (* XXX: we need p3_latch_8052_set_arg_8 *) |
---|
1859 | |9: |
---|
1860 | >clock_set_clock |
---|
1861 | >clock_set_program_counter in ⊢ (???%); >clock_set_clock |
---|
1862 | >EQticks <instr_refl @eq_f2 |
---|
1863 | [1: |
---|
1864 | whd in ⊢ (??%%); whd in match (ticks_of0 ??????); |
---|
1865 | |2: |
---|
1866 | (* XXX: we need clock_set_arg_8 *) |
---|
1867 | ] |
---|
1868 | |18: |
---|
1869 | ] |
---|
1870 | ] |
---|
1871 | (* XXX: switch to the right hand side *) |
---|
1872 | normalize nodelta >EQs -s >EQticks -ticks |
---|
1873 | cases (¬ eq_bv ???) normalize nodelta |
---|
1874 | whd in ⊢ (??%%); |
---|
1875 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
1876 | @split_eq_status try % |
---|
1877 | [1,2,3,19,20,21,28,29,30: |
---|
1878 | cases daemon (* XXX: axioms as above *) |
---|
1879 | |4,13,22,31: |
---|
1880 | |5,14,23,32: |
---|
1881 | |6,15,24,33: |
---|
1882 | |7,16,25,34: |
---|
1883 | |8,17,26,35: |
---|
1884 | whd in ⊢ (??%%);maps_assm |
---|
1885 | |
---|
1886 | |9,18,27,36: |
---|
1887 | whd in ⊢ (??%%); |
---|
1888 | whd in match (ticks_of_instruction ?); <instr_refl |
---|
1889 | cases daemon (* XXX: daemon in ticks_of0 stopping progression *) |
---|
1890 | ] |
---|
1891 | |2,4: |
---|
1892 | >(? : eq_v bool 9 eq_b upper (zero 9) = false) |
---|
1893 | [2, 4: |
---|
1894 | cases daemon (* XXX: !!! *) |
---|
1895 | ] |
---|
1896 | normalize nodelta >EQppc |
---|
1897 | * @(pose … (add 16 ??)) #intermediate_pc #EQintermediate_pc #fetch_refl |
---|
1898 | * @(pose … (add 16 ??)) #intermediate_pc' #EQintermediate_pc' #fetch_refl' |
---|
1899 | * @(pose … (add 16 ??)) #intermediate_pc'' #EQintermediate_pc'' #fetch_refl'' |
---|
1900 | #fetch_many_assm whd in fetch_many_assm; %{2} |
---|
1901 | change with (execute_1 ?? = ?) |
---|
1902 | @(pose … (execute_1 ? (status_of_pseudo_status …))) |
---|
1903 | #status_after_1 #EQstatus_after_1 |
---|
1904 | <(?: ? = status_after_1) |
---|
1905 | [3,6: |
---|
1906 | >EQstatus_after_1 in ⊢ (???%); |
---|
1907 | whd in ⊢ (???%); |
---|
1908 | [1: |
---|
1909 | <fetch_refl in ⊢ (???%); |
---|
1910 | |2: |
---|
1911 | <fetch_refl in ⊢ (???%); |
---|
1912 | ] |
---|
1913 | whd in ⊢ (???%); |
---|
1914 | @(pair_replace ?????????? p) |
---|
1915 | [1,3: |
---|
1916 | cases daemon |
---|
1917 | |2,4: |
---|
1918 | normalize nodelta |
---|
1919 | whd in match (addr_of_relative ????); |
---|
1920 | cases (¬ eq_bv ???) normalize nodelta |
---|
1921 | >set_clock_mk_Status_commutation |
---|
1922 | whd in ⊢ (???%); |
---|
1923 | change with (add ???) in match (\snd (half_add ???)); |
---|
1924 | >set_arg_8_set_program_counter in ⊢ (???%); |
---|
1925 | [2,4,6,8: /2 by is_in_subvector_is_in_supervector, subaddressing_modein, I/ ] |
---|
1926 | >program_counter_set_program_counter in ⊢ (???%); |
---|
1927 | >(?: add ? intermediate_pc (sign_extension (bitvector_of_nat ? 2)) = intermediate_pc') |
---|
1928 | [2,4,6,8: |
---|
1929 | >bitvector_of_nat_sign_extension_equivalence |
---|
1930 | [1,3,5,7: |
---|
1931 | >EQintermediate_pc' % |
---|
1932 | |*: |
---|
1933 | repeat @le_S_S @le_O_n |
---|
1934 | ] |
---|
1935 | ] |
---|
1936 | [1,3: % ] |
---|
1937 | ] |
---|
1938 | |1,4: |
---|
1939 | skip |
---|
1940 | ] |
---|
1941 | [3,4: |
---|
1942 | -status_after_1 |
---|
1943 | @(pose … (execute_1 ? (mk_PreStatus …))) |
---|
1944 | #status_after_1 #EQstatus_after_1 |
---|
1945 | <(?: ? = status_after_1) |
---|
1946 | [3,6: |
---|
1947 | >EQstatus_after_1 in ⊢ (???%); |
---|
1948 | whd in ⊢ (???%); |
---|
1949 | (* XXX: matita bug with patterns across multiple goals *) |
---|
1950 | [1: |
---|
1951 | <fetch_refl'' in ⊢ (???%); |
---|
1952 | |2: |
---|
1953 | <fetch_refl'' in ⊢ (???%); |
---|
1954 | ] |
---|
1955 | [2: % |1: whd in ⊢ (???%); % ] |
---|
1956 | |1,4: |
---|
1957 | skip |
---|
1958 | ] |
---|
1959 | -status_after_1 whd in ⊢ (??%?); |
---|
1960 | (* XXX: switch to the right hand side *) |
---|
1961 | normalize nodelta >EQs -s >EQticks -ticks |
---|
1962 | normalize nodelta whd in ⊢ (??%%); |
---|
1963 | ] |
---|
1964 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
1965 | @split_eq_status try % |
---|
1966 | whd in ⊢ (??%%); |
---|
1967 | cases daemon |
---|
1968 | ] |
---|
1969 | |30: (* CJNE *) |
---|
1970 | (* XXX: work on the right hand side *) |
---|
1971 | cases addr1 -addr1 #addr1 normalize nodelta |
---|
1972 | cases addr1 -addr1 #addr1_l #addr1_r normalize nodelta |
---|
1973 | (* XXX: switch to the left hand side *) |
---|
1974 | >EQP -P normalize nodelta |
---|
1975 | #sigma_increment_commutation #maps_assm #fetch_many_assm |
---|
1976 | |
---|
1977 | whd in match (expand_pseudo_instruction ??????) in fetch_many_assm; |
---|
1978 | <EQppc in fetch_many_assm; |
---|
1979 | whd in match (short_jump_cond ??); |
---|
1980 | @pair_elim #sj_possible #disp |
---|
1981 | @pair_elim #result #flags #sub16_refl |
---|
1982 | @pair_elim #upper #lower #vsplit_refl |
---|
1983 | inversion (get_index' bool ???) #get_index_refl' normalize nodelta |
---|
1984 | #sj_possible_pair destruct(sj_possible_pair) normalize nodelta |
---|
1985 | [1,3: |
---|
1986 | >EQppc in ⊢ (% → ?); #fetch_many_assm %{1} |
---|
1987 | >(sub16_with_carry_overflow … sub16_refl vsplit_refl get_index_refl') in fetch_many_assm; |
---|
1988 | normalize nodelta in ⊢ (% → ?); #fetch_many_assm |
---|
1989 | whd in ⊢ (??%?); |
---|
1990 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
1991 | inversion (¬ (eq_bv ???)) in ⊢ (???%); #eq_bv_refl normalize nodelta |
---|
1992 | lapply (refl_to_jmrefl ??? eq_bv_refl) -eq_bv_refl #eq_bv_refl |
---|
1993 | @(if_then_else_replace ???????? eq_bv_refl) |
---|
1994 | [1,3,5,7: |
---|
1995 | cases daemon |
---|
1996 | |2,4,6,8: |
---|
1997 | (* XXX: switch to the right hand side *) |
---|
1998 | normalize nodelta >EQs -s >EQticks -ticks |
---|
1999 | whd in ⊢ (??%%); |
---|
2000 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
2001 | @split_eq_status try % |
---|
2002 | [3,7,11,15: |
---|
2003 | whd in ⊢ (??%?); |
---|
2004 | [1,3: |
---|
2005 | cases daemon |
---|
2006 | |2,4: |
---|
2007 | cases daemon |
---|
2008 | ] |
---|
2009 | ] |
---|
2010 | cases daemon (* XXX *) |
---|
2011 | ] |
---|
2012 | |2,4: |
---|
2013 | >(? : eq_v bool 9 eq_b upper (zero 9) = false) |
---|
2014 | [2, 4: |
---|
2015 | cases daemon (* XXX: !!! *) |
---|
2016 | ] |
---|
2017 | normalize nodelta >EQppc |
---|
2018 | * @(pose … (add 16 ??)) #intermediate_pc #EQintermediate_pc #fetch_refl |
---|
2019 | * @(pose … (add 16 ??)) #intermediate_pc' #EQintermediate_pc' #fetch_refl' |
---|
2020 | * @(pose … (add 16 ??)) #intermediate_pc'' #EQintermediate_pc'' #fetch_refl'' |
---|
2021 | #fetch_many_assm whd in fetch_many_assm; %{2} |
---|
2022 | change with (execute_1 ?? = ?) |
---|
2023 | @(pose … (execute_1 ? (status_of_pseudo_status …))) |
---|
2024 | #status_after_1 #EQstatus_after_1 |
---|
2025 | <(?: ? = status_after_1) |
---|
2026 | [2,5: |
---|
2027 | inversion (¬ (eq_bv ???)) #eq_bv_refl normalize nodelta |
---|
2028 | |3,6: |
---|
2029 | >EQstatus_after_1 in ⊢ (???%); |
---|
2030 | whd in ⊢ (???%); |
---|
2031 | [1: <fetch_refl in ⊢ (???%); |
---|
2032 | |2: <fetch_refl in ⊢ (???%); |
---|
2033 | ] |
---|
2034 | whd in ⊢ (???%); |
---|
2035 | inversion (¬ (eq_bv ???)) in ⊢ (???%); #eq_bv_refl normalize nodelta |
---|
2036 | whd in ⊢ (???%); |
---|
2037 | whd in match (addr_of_relative ????); |
---|
2038 | change with (add ???) in match (\snd (half_add ???)); |
---|
2039 | >set_clock_set_program_counter in ⊢ (???%); |
---|
2040 | >program_counter_set_program_counter in ⊢ (???%); |
---|
2041 | >(?: add ? intermediate_pc (sign_extension (bitvector_of_nat ? 2)) = intermediate_pc') |
---|
2042 | [2,4,6,8: |
---|
2043 | >bitvector_of_nat_sign_extension_equivalence |
---|
2044 | [1,3,5,7: |
---|
2045 | >EQintermediate_pc' % |
---|
2046 | |*: |
---|
2047 | repeat @le_S_S @le_O_n |
---|
2048 | ] |
---|
2049 | |1,5: |
---|
2050 | % |
---|
2051 | ] |
---|
2052 | |1,4: skip |
---|
2053 | ] |
---|
2054 | [1,2,3,4: |
---|
2055 | -status_after_1 |
---|
2056 | @(pose … (execute_1 ? (mk_PreStatus …))) |
---|
2057 | #status_after_1 #EQstatus_after_1 |
---|
2058 | <(?: ? = status_after_1) |
---|
2059 | [3,6,9,12: |
---|
2060 | >EQstatus_after_1 in ⊢ (???%); |
---|
2061 | whd in ⊢ (???%); |
---|
2062 | (* XXX: matita bug with patterns across multiple goals *) |
---|
2063 | [1: <fetch_refl'' in ⊢ (???%); |
---|
2064 | |2: <fetch_refl'' in ⊢ (???%); |
---|
2065 | |3: <fetch_refl'' in ⊢ (???%); |
---|
2066 | |4: <fetch_refl'' in ⊢ (???%); |
---|
2067 | ] % |
---|
2068 | |1,4,7,10: |
---|
2069 | skip |
---|
2070 | ] |
---|
2071 | -status_after_1 whd in ⊢ (??%?); |
---|
2072 | (* XXX: switch to the right hand side *) |
---|
2073 | normalize nodelta >EQs -s >EQticks -ticks |
---|
2074 | whd in ⊢ (??%%); |
---|
2075 | ] |
---|
2076 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
2077 | @split_eq_status try % |
---|
2078 | cases daemon |
---|
2079 | ] |
---|
2080 | |17,19,21,23,25,27,29,16,18,20,22,24,26,28: (* JC, JNC, JB, JNB, JBC, JZ, JNZ (true cases last) *) |
---|
2081 | (* XXX: work on the right hand side *) |
---|
2082 | >p normalize nodelta |
---|
2083 | (* XXX: switch to the left hand side *) |
---|
2084 | >EQP -P normalize nodelta |
---|
2085 | #sigma_increment_commutation #maps_assm #fetch_many_assm |
---|
2086 | |
---|
2087 | whd in match (expand_pseudo_instruction ??????) in fetch_many_assm; |
---|
2088 | <EQppc in fetch_many_assm; |
---|
2089 | whd in match (short_jump_cond ??); |
---|
2090 | @pair_elim #sj_possible #disp |
---|
2091 | @pair_elim #result #flags #sub16_refl |
---|
2092 | @pair_elim #upper #lower #vsplit_refl |
---|
2093 | inversion (get_index' bool ???) #get_index_refl' normalize nodelta |
---|
2094 | #sj_possible_pair destruct(sj_possible_pair) normalize nodelta |
---|
2095 | [1,3,5,7,9,11,13,15,17,19,21,23,25,27: |
---|
2096 | >EQppc in ⊢ (% → ?); #fetch_many_assm %{1} |
---|
2097 | >(sub16_with_carry_overflow … sub16_refl vsplit_refl get_index_refl') in fetch_many_assm; |
---|
2098 | normalize nodelta in ⊢ (% → ?); #fetch_many_assm |
---|
2099 | whd in ⊢ (??%?); |
---|
2100 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
2101 | (* XXX: work on the left hand side *) |
---|
2102 | @(if_then_else_replace ???????? p) normalize nodelta |
---|
2103 | [1,3,5,7,9,11,13,15,17,19,21,23,25,27: |
---|
2104 | cases daemon |
---|
2105 | ] |
---|
2106 | (* XXX: switch to the right hand side *) |
---|
2107 | normalize nodelta >EQs -s >EQticks -ticks |
---|
2108 | whd in ⊢ (??%%); |
---|
2109 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
2110 | @split_eq_status try % |
---|
2111 | cases daemon |
---|
2112 | |2,4,6,8,10,12,14,16,18,20,22,24,26,28: |
---|
2113 | >(? : eq_v bool 9 eq_b upper (zero 9) = false) |
---|
2114 | [2,4,6,8,10,12,14,16,18,20,22,24,26,28: |
---|
2115 | cases daemon (* XXX: !!! *) |
---|
2116 | ] |
---|
2117 | normalize nodelta >EQppc |
---|
2118 | * @(pose … (add 16 ??)) #intermediate_pc #EQintermediate_pc #fetch_refl |
---|
2119 | * @(pose … (add 16 ??)) #intermediate_pc' #EQintermediate_pc' #fetch_refl' |
---|
2120 | * @(pose … (add 16 ??)) #intermediate_pc'' #EQintermediate_pc'' #fetch_refl'' |
---|
2121 | #fetch_many_assm whd in fetch_many_assm; %{2} |
---|
2122 | change with (execute_1 ?? = ?) |
---|
2123 | @(pose … (execute_1 ? (status_of_pseudo_status …))) |
---|
2124 | #status_after_1 #EQstatus_after_1 |
---|
2125 | <(?: ? = status_after_1) |
---|
2126 | [3,6,9,12,15,18,21,24,27,30,33,36,39,42: |
---|
2127 | >EQstatus_after_1 in ⊢ (???%); |
---|
2128 | whd in ⊢ (???%); |
---|
2129 | [1: <fetch_refl in ⊢ (???%); |
---|
2130 | |2: <fetch_refl in ⊢ (???%); |
---|
2131 | |3: <fetch_refl in ⊢ (???%); |
---|
2132 | |4: <fetch_refl in ⊢ (???%); |
---|
2133 | |5: <fetch_refl in ⊢ (???%); |
---|
2134 | |6: <fetch_refl in ⊢ (???%); |
---|
2135 | |7: <fetch_refl in ⊢ (???%); |
---|
2136 | |8: <fetch_refl in ⊢ (???%); |
---|
2137 | |9: <fetch_refl in ⊢ (???%); |
---|
2138 | |10: <fetch_refl in ⊢ (???%); |
---|
2139 | |11: <fetch_refl in ⊢ (???%); |
---|
2140 | |12: <fetch_refl in ⊢ (???%); |
---|
2141 | |13: <fetch_refl in ⊢ (???%); |
---|
2142 | |14: <fetch_refl in ⊢ (???%); |
---|
2143 | ] |
---|
2144 | whd in ⊢ (???%); |
---|
2145 | @(if_then_else_replace ???????? p) |
---|
2146 | [1,3,5,7,9,11,13,15,17,19,21,23,25,27: |
---|
2147 | cases daemon |
---|
2148 | |2,4,6,8,10,12,14,16,18,20,22,24,26,28: |
---|
2149 | normalize nodelta |
---|
2150 | whd in match (addr_of_relative ????); |
---|
2151 | >set_clock_mk_Status_commutation |
---|
2152 | [9,10: |
---|
2153 | (* XXX: demodulation not working in this case *) |
---|
2154 | >program_counter_set_arg_1 in ⊢ (???%); |
---|
2155 | >program_counter_set_program_counter in ⊢ (???%); |
---|
2156 | |*: |
---|
2157 | /demod/ |
---|
2158 | ] |
---|
2159 | whd in ⊢ (???%); |
---|
2160 | change with (add ???) in match (\snd (half_add ???)); |
---|
2161 | >(?: add ? intermediate_pc (sign_extension (bitvector_of_nat ? 2)) = intermediate_pc') |
---|
2162 | [2,4,6,8,10,12,14,16,18,20,22,24,26,28: |
---|
2163 | >bitvector_of_nat_sign_extension_equivalence |
---|
2164 | [1,3,5,7,9,11,13,15,17,19,21,23,25,27: |
---|
2165 | >EQintermediate_pc' % |
---|
2166 | |*: |
---|
2167 | repeat @le_S_S @le_O_n |
---|
2168 | ] |
---|
2169 | ] |
---|
2170 | % |
---|
2171 | ] |
---|
2172 | |1,4,7,10,13,16,19,22,25,28,31,34,37,40: |
---|
2173 | skip |
---|
2174 | ] |
---|
2175 | -status_after_1 |
---|
2176 | @(pose … (execute_1 ? (mk_PreStatus …))) |
---|
2177 | #status_after_1 #EQstatus_after_1 |
---|
2178 | <(?: ? = status_after_1) |
---|
2179 | [3,6,9,12,15,18,21,24,27,30,33,36,39,42: |
---|
2180 | >EQstatus_after_1 in ⊢ (???%); |
---|
2181 | whd in ⊢ (???%); |
---|
2182 | (* XXX: matita bug with patterns across multiple goals *) |
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2183 | [1: <fetch_refl'' in ⊢ (???%); |
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2184 | |2: <fetch_refl' in ⊢ (???%); |
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2185 | |3: <fetch_refl'' in ⊢ (???%); |
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2186 | |4: <fetch_refl' in ⊢ (???%); |
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2187 | |5: <fetch_refl'' in ⊢ (???%); |
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2188 | |6: <fetch_refl' in ⊢ (???%); |
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2189 | |7: <fetch_refl'' in ⊢ (???%); |
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2190 | |8: <fetch_refl' in ⊢ (???%); |
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2191 | |9: <fetch_refl'' in ⊢ (???%); |
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2192 | |10: <fetch_refl' in ⊢ (???%); |
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2193 | |11: <fetch_refl'' in ⊢ (???%); |
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2194 | |12: <fetch_refl' in ⊢ (???%); |
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2195 | |13: <fetch_refl'' in ⊢ (???%); |
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2196 | |14: <fetch_refl' in ⊢ (???%); |
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2197 | ] |
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2198 | whd in ⊢ (???%); |
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2199 | [9,10: |
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2200 | |*: |
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2201 | /demod/ |
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2202 | ] % |
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2203 | |1,4,7,10,13,16,19,22,25,28,31,34,37,40: |
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2204 | skip |
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2205 | ] |
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2206 | -status_after_1 whd in ⊢ (??%?); |
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2207 | (* XXX: switch to the right hand side *) |
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2208 | normalize nodelta >EQs -s >EQticks -ticks |
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2209 | whd in ⊢ (??%%); |
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2210 | (* XXX: finally, prove the equality using sigma commutation *) |
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2211 | @split_eq_status try % |
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2212 | [3,11,19,27,36,53,61: |
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2213 | >program_counter_set_program_counter >set_clock_mk_Status_commutation |
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2214 | [5: >program_counter_set_program_counter ] |
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2215 | >EQaddr_of normalize nodelta |
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2216 | whd in ⊢ (??%?); >EQlookup_labels normalize nodelta |
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2217 | >EQcm change with (address_of_word_labels_code_mem ??) in match (address_of_word_labels ??); |
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2218 | @eq_f lapply (create_label_cost_map_ok 〈preamble, instr_list〉) |
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2219 | >create_label_cost_refl normalize nodelta #relevant @relevant |
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2220 | whd in is_well_labelled_witness; @(is_well_labelled_witness … ppc … (Instruction … instr)) |
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2221 | try assumption whd in match instruction_has_label; normalize nodelta |
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2222 | <instr_refl normalize nodelta % |
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2223 | |7,15,23,31,45,57,65: |
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2224 | >set_clock_mk_Status_commutation >program_counter_set_program_counter |
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2225 | whd in ⊢ (??%?); normalize nodelta |
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2226 | >EQppc in fetch_many_assm; #fetch_many_assm |
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2227 | [5: |
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2228 | >program_counter_set_arg_1 >program_counter_set_program_counter |
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2229 | ] |
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2230 | <(eq_bv_eq … fetch_many_assm) >EQintermediate_pc'' |
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2231 | <bitvector_of_nat_sign_extension_equivalence |
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2232 | [1,3,5,7,9,11,13: |
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2233 | whd in ⊢ (???%); cases (half_add ???) normalize // |
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2234 | |2,4,6,8,10,12,14: |
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2235 | @assembly1_lt_128 |
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2236 | @le_S_S @le_O_n |
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2237 | ] |
---|
2238 | |*: |
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2239 | cases daemon |
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2240 | ] |
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2241 | ] |
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2242 | |4,5,6,7,8,36,37,38,39,40,41,50: (* INC, CLR, CPL, PUSH *) |
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2243 | (* XXX: work on the right hand side *) |
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2244 | lapply (subaddressing_modein ???) |
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2245 | <EQaddr normalize nodelta #irrelevant |
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2246 | try (>p normalize nodelta) |
---|
2247 | try (>p1 normalize nodelta) |
---|
2248 | (* XXX: switch to the left hand side *) |
---|
2249 | >EQP -P normalize nodelta |
---|
2250 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
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2251 | whd in ⊢ (??%?); |
---|
2252 | whd in match (expand_pseudo_instruction ??????) in fetch_many_assm; |
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2253 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
2254 | (* XXX: work on the left hand side *) |
---|
2255 | [1,2,3,4,5: |
---|
2256 | generalize in ⊢ (??(???(?%))?); |
---|
2257 | |6,7,8,9,10,11: |
---|
2258 | generalize in ⊢ (??(???(?%))?); |
---|
2259 | |12: |
---|
2260 | generalize in ⊢ (??(???(?%))?); |
---|
2261 | ] |
---|
2262 | <EQaddr normalize nodelta #irrelevant |
---|
2263 | try @(jmpair_as_replace ?????????? p) |
---|
2264 | [10: normalize nodelta try @(jmpair_as_replace ?????????? p1) ] |
---|
2265 | (* XXX: switch to the right hand side *) |
---|
2266 | normalize nodelta >EQs -s >EQticks -ticks |
---|
2267 | whd in ⊢ (??%%); |
---|
2268 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
2269 | try @split_eq_status try % whd in ⊢ (??%%); |
---|
2270 | cases daemon |
---|
2271 | |1,2,3,9,46,51,53,54,55: (* ADD, ADDC, SUBB, DEC, SWAP, POP, XCHD, RET, RETI *) |
---|
2272 | (* XXX: work on the right hand side *) |
---|
2273 | >p normalize nodelta |
---|
2274 | try (>p1 normalize nodelta) |
---|
2275 | (* XXX: switch to the left hand side *) |
---|
2276 | -instr_refl >EQP -P normalize nodelta |
---|
2277 | #sigma_increment_commutation #maps_assm #fetch_many_assm %{1} |
---|
2278 | whd in ⊢ (??%?); |
---|
2279 | <(fetch_many_singleton … fetch_many_assm) -fetch_many_assm whd in ⊢ (??%?); |
---|
2280 | (* XXX: work on the left hand side *) |
---|
2281 | @(pair_replace ?????????? p) |
---|
2282 | [1,3,5,7,9,11,13,15,17: |
---|
2283 | >set_clock_set_program_counter >set_clock_mk_Status_commutation |
---|
2284 | >set_program_counter_mk_Status_commutation >clock_set_program_counter |
---|
2285 | cases daemon |
---|
2286 | |14,16,18: |
---|
2287 | normalize nodelta |
---|
2288 | @(pair_replace ?????????? p1) |
---|
2289 | [1,3,5: |
---|
2290 | >set_clock_mk_Status_commutation |
---|
2291 | cases daemon |
---|
2292 | ] |
---|
2293 | ] |
---|
2294 | (* XXX: switch to the right hand side *) |
---|
2295 | normalize nodelta >EQs -s >EQticks -ticks |
---|
2296 | whd in ⊢ (??%%); |
---|
2297 | (* XXX: finally, prove the equality using sigma commutation *) |
---|
2298 | try @split_eq_status try % |
---|
2299 | cases daemon *) |
---|