1 | Status of matita port of CompCert 1.6 C semantics |
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2 | ================================================= |
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3 | |
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4 | Last seen working with matita svn r10890. |
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5 | |
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6 | - Most of the memory model has been ported (common/Mem.v -> Mem.ma). |
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7 | The main exception is minor arithmetic results than were proven with |
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8 | omega, which we hope to prove using matita's automation at some |
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9 | point. |
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10 | |
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11 | - The memory model is executable; some small tests can be found in |
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12 | test/memorymodel.ma. Note that the handling of integer values is |
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13 | axiomatised, so conversions are not yet evaluated. |
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14 | |
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15 | - The C syntax has been ported, minus a few lemmas that are not used by |
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16 | the semantics. |
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17 | |
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18 | - Most of the small-step C semantics has been ported, although much of the |
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19 | underlying arithmetic and environment functions are only present as axioms, |
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20 | including the type of identifiers. |
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21 | |
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22 | - Nonetheless, this is sufficient to show the semantics of a trivial C program |
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23 | in test/trivial.ma. |
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24 | |
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25 | - A collection of definitions and lemmas that probably ought to be in |
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26 | matita's standard library can be found in extralib.ma. |
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27 | |
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28 | - Some of the machine integers (i.e., integers modulo) results are |
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29 | given as axioms in Integers.ma. Implementing them should be routine now that |
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30 | we have a binary representation of integers. The CompCert version is given |
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31 | as a functor on the word size - we don't have an equivalent of this yet. |
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32 | |
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33 | * Some experimental work on an executable semantics has been started in |
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34 | Cexec.ma. At present only a small subset of expressions and statements |
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35 | are handled. |
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36 | |
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37 | * The patch in compcert-1.7.1-matita.patch adds a -dmatita option to |
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38 | output a matita file containing a definition for the C program. |
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39 | Note that there must be a "main" function. (This was made against |
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40 | 1.7.1 for convenience - the Clight syntax is the same as 1.6.) |
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41 | |
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42 | There is a more recent version of compcert available with a revised memory |
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43 | model that may be more closely suited to our needs. |
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44 | |
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45 | matita issues and workarounds |
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46 | ----------------------------- |
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47 | |
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48 | No unfold tactic yet; use reduction or rewriting instead. |
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49 | |
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50 | Normalization of term containing large definitions (such as some of the |
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51 | Integers library) can be prohibitive. This is a particular problem because |
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52 | ndestruct currently normalizes the goal and every hypothesis that is rewritten. |
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53 | For ndestruct, getting rid of irrelevant information (e.g., replacing the goal |
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54 | with False) sometimes helps, an extra lemma can be used, or the definitions |
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55 | can make careful use of 'nlet rec' to prevent reduction. |
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56 | |
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57 | Some of the pattern matching in the C syntax has had to be unfolded in |
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58 | a rather unpleasant way (where matching on pairs was used in the original). |
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59 | |
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60 | The use of records in place of modules is a little delicate: large records |
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61 | tend to use a lot of memory and processor at the moment, and the names of the |
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62 | fields tend to clash a lot. |
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63 | |
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64 | The lack of sections has been replaced by duplicating the variables in some |
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65 | places, and adding a record in others. |
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66 | |
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67 | The meminj_no_overlap definition in Mem.ma uses the logical Or explicitly |
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68 | rather than the ∨ notation to regain reasonable performance. (This is |
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69 | presumably due to disambiguation - the notation is also used for booleans.) |
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70 | |
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71 | There are a couple of places in Mem.ma where rewriting had to be done carefully |
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72 | to avoid assertions during unification; I'm not really sure what the problem |
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73 | is. |
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74 | |
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75 | Detail per-file |
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76 | --------------- |
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77 | |
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78 | AST.ma |
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79 | |
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80 | Program transformation sections left alone. |
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81 | |
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82 | Coqlib.ma |
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83 | |
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84 | Only essential parts: |
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85 | - align |
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86 | - some 2^n lemmas (which could go into the binary libraries) |
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87 | - option_map |
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88 | - parts of list disjointness and non-repetition |
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89 | |
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90 | Csem.ma |
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91 | |
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92 | The small step semantics have been ported. None of the big step semantics or |
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93 | the equivalence proof has been ported. |
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94 | |
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95 | Csyntax.ma |
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96 | |
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97 | Everything except for a few minor definitions / lemmas that are not required |
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98 | by the semantics. |
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99 | |
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100 | Errors.ma |
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101 | |
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102 | Only a basic definition without error messages. |
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103 | |
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104 | Events.ma |
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105 | |
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106 | Most of the definitions; haven't needed many of the lemmas yet. |
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107 | |
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108 | Floats.ma |
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109 | |
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110 | Axiomatised, but so was the original! |
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111 | |
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112 | Globalenvs.ma |
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113 | |
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114 | Basic definition only. |
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115 | |
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116 | Integers.ma |
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117 | |
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118 | Most of the operations have been ported, although some have been left as |
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119 | axioms because the underlying operation is not present. The use of the |
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120 | Coq module system to abstract over the word size has been left out for |
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121 | now. |
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122 | |
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123 | Maps.ma |
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124 | |
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125 | Only a basic definition. |
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126 | |
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127 | Mem.ma |
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128 | |
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129 | Everything except for omega in proofs. |
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130 | |
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131 | Smallstep.ma |
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132 | |
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133 | Ported definitions for multiple steps and program behaviour; left |
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134 | alternative definitions, some lemmas, plus simulations sections for later. |
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135 | |
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136 | Values.ma |
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137 | |
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138 | The definitions about values which don't rely on arithmetics operations that |
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139 | haven't been ported yet are done. The other definitions and most of the |
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140 | lemmas still remain to be done. |
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141 | |
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142 | |
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