Last change
on this file since 2248 was
1882,
checked in by tranquil, 9 years ago
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big update, alas incomplete:
joint changed a bit, and all BE languages need to be updated
started development of blocks to aid preservation results, but still incomplete
if it breaks too many things, feel free to roll back
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File size:
895 bytes
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1 | include "utilities/monad.ma". |
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2 | include "basics/types.ma". |
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3 | include "basics/lists/list.ma". |
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4 | definition Trace ≝ λT : Type[0].MakeMonad (mk_MonadDefinition |
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5 | (* the monad *) |
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6 | (λX.X × (list T)) |
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7 | (* return *) |
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8 | (λX,x.〈x, [ ]〉) |
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9 | (* bind *) |
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10 | (λX,Y,m,f. let 〈x, ts〉 ≝ m in let 〈y,ts'〉 ≝ f x in 〈y, ts @ ts'〉) |
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11 | ???). |
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12 | [(* bind_bind *) |
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13 | #X#Y#Z*#x#t1#f#g |
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14 | normalize elim (f x) |
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15 | #y#t2 normalize elim (g y) |
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16 | #z#t3 normalize >associative_append // |
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17 | |(* bind_ret *) |
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18 | #X*#x#t normalize >append_nil // |
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19 | |(* ret_bind *) |
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20 | #X#Y#x#f normalize elim (f x) #y #t' normalize // |
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21 | ] |
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22 | qed. |
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23 | |
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24 | include "hints_declaration.ma". |
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25 | unification hint 0 ≔ X, T; |
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26 | M ≟ Trace T |
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27 | (*---------------*) ⊢ |
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28 | X × (list T) ≡ monad M X |
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29 | . |
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30 | |
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31 | definition trace_emit : ∀T. T → monad (Trace T) unit ≝ |
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32 | λT,t.〈it, [t]〉. |
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33 | |
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34 | definition trace_emits : ∀T. list T → monad (Trace T) unit ≝ |
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35 | λT,ts.〈it, ts〉. |
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36 | |
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