author | Christian Urban <urbanc@in.tum.de> |
Fri, 09 Apr 2010 21:51:01 +0200 | |
changeset 1800 | 78fdc6b36a1c |
parent 1774 | c34347ec7ab3 |
child 1801 | 6d2a39db3862 |
permissions | -rw-r--r-- |
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1 |
(* Title: nominal_thmdecls.ML |
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2 |
Author: Brian Huffman, Christian Urban |
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*) |
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|
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signature NOMINAL_PERMEQ = |
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sig |
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7 |
val eqvt_tac: Proof.context -> thm list -> int -> tactic |
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8 |
val trace_eqvt: bool Config.T |
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9 |
val setup: theory -> theory |
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10 |
end; |
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|
2845e736dc1a
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(* TODO: |
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|
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- provide a method interface with the usual add and del options |
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|
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- print a warning if for a constant no eqvt lemma is stored |
2845e736dc1a
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|
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parents:
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18 |
*) |
2845e736dc1a
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parents:
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19 |
|
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|
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structure Nominal_Permeq: NOMINAL_PERMEQ = |
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struct |
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|
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24 |
fun is_head_Trueprop trm = |
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25 |
case (head_of trm) of |
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26 |
@{const "Trueprop"} => true |
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27 |
| _ => false |
78fdc6b36a1c
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28 |
|
78fdc6b36a1c
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29 |
(* debugging infrastructure *) |
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30 |
val (trace_eqvt, trace_eqvt_setup) = Attrib.config_bool "trace_eqvt" (K false); |
78fdc6b36a1c
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|
78fdc6b36a1c
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fun trace_enabled ctxt = Config.get ctxt trace_eqvt |
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|
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fun trace_conv ctxt conv ct = |
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35 |
let |
78fdc6b36a1c
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val result = conv ct |
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val _ = |
78fdc6b36a1c
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parents:
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38 |
if trace_enabled ctxt andalso not (Thm.is_reflexive result) |
78fdc6b36a1c
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39 |
then |
78fdc6b36a1c
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parents:
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40 |
let |
78fdc6b36a1c
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parents:
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41 |
val lhs_str = Syntax.string_of_term ctxt (term_of (Thm.lhs_of result)) |
78fdc6b36a1c
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val rhs_str = Syntax.string_of_term ctxt (term_of (Thm.rhs_of result)) |
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43 |
in |
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warning (Pretty.string_of (Pretty.strs ["Rewriting", lhs_str, "to", rhs_str])) |
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45 |
end |
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46 |
else () |
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47 |
in |
78fdc6b36a1c
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result |
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49 |
end; |
78fdc6b36a1c
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parents:
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50 |
|
78fdc6b36a1c
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parents:
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51 |
(* conversion for applications *) |
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fun eqvt_apply_conv ctxt ct = |
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case (term_of ct) of |
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(Const (@{const_name "permute"}, _) $ _ $ (_ $ _)) => |
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let |
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val (perm, t) = Thm.dest_comb ct |
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val (_, p) = Thm.dest_comb perm |
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val (f, x) = Thm.dest_comb t |
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val a = ctyp_of_term x; |
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val b = ctyp_of_term t; |
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val ty_insts = map SOME [b, a] |
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val term_insts = map SOME [p, f, x] |
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in |
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Drule.instantiate' ty_insts term_insts @{thm eqvt_apply} |
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end |
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| _ => Conv.no_conv ct |
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|
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(* conversion for lambdas *) |
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fun eqvt_lambda_conv ctxt ct = |
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case (term_of ct) of |
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(Const (@{const_name "permute"}, _) $ _ $ Abs _) => |
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Conv.rewr_conv @{thm eqvt_lambda} ct |
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| _ => Conv.no_conv ct |
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|
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|
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(* main conversion *) |
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77 |
fun eqvt_conv ctxt thms ctrm = |
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78 |
let |
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79 |
val trm = term_of ctrm |
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80 |
val _ = if trace_enabled ctxt andalso not (is_head_Trueprop trm) |
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81 |
then warning ("analysing " ^ Syntax.string_of_term ctxt trm) |
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82 |
else () |
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83 |
val wrapper = if trace_enabled ctxt then trace_conv ctxt else I |
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84 |
in |
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85 |
Conv.first_conv (map wrapper |
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86 |
[ More_Conv.rewrs_conv thms, |
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87 |
Conv.rewr_conv @{thm eqvt_bound}, |
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88 |
More_Conv.rewrs_conv (Nominal_ThmDecls.get_eqvts_raw_thms ctxt), |
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89 |
eqvt_apply_conv ctxt, |
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90 |
eqvt_lambda_conv ctxt, |
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91 |
More_Conv.rewrs_conv @{thms permute_pure[THEN eq_reflection]}, |
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92 |
Conv.all_conv |
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93 |
]) ctrm |
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94 |
end |
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|
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96 |
|
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97 |
fun eqvt_tac ctxt thms = |
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98 |
CONVERSION (More_Conv.top_conv (fn ctxt => eqvt_conv ctxt thms) ctxt) |
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99 |
|
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100 |
val setup = |
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101 |
trace_eqvt_setup |
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102 |
|
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103 |
end; (* structure *) |