author  nipkow 
Tue, 05 Nov 2019 21:07:03 +0100  
changeset 71044  cb504351d058 
parent 69593  3dda49e08b9d 
child 71916  435cdc772110 
permissions  rwrr 
9889  1 
(* Title: FOL/simpdata.ML 
1459  2 
Author: Lawrence C Paulson, Cambridge University Computer Laboratory 
282  3 
Copyright 1994 University of Cambridge 
0  4 

9889  5 
Simplification data for FOL. 
0  6 
*) 
7 

282  8 
(*Make metaequalities. The operator below is Trueprop*) 
5555  9 

59582  10 
fun mk_meta_eq th = 
11 
(case Thm.concl_of th of 

69593  12 
_ $ (Const(\<^const_name>\<open>eq\<close>,_)$_$_) => th RS @{thm eq_reflection} 
13 
 _ $ (Const(\<^const_name>\<open>iff\<close>,_)$_$_) => th RS @{thm iff_reflection} 

59582  14 
 _ => error "conclusion must be a =equality or <>"); 
5555  15 

59582  16 
fun mk_eq th = 
17 
(case Thm.concl_of th of 

69593  18 
Const(\<^const_name>\<open>Pure.eq\<close>,_)$_$_ => th 
19 
 _ $ (Const(\<^const_name>\<open>eq\<close>,_)$_$_) => mk_meta_eq th 

20 
 _ $ (Const(\<^const_name>\<open>iff\<close>,_)$_$_) => mk_meta_eq th 

21 
 _ $ (Const(\<^const_name>\<open>Not\<close>,_)$_) => th RS @{thm iff_reflection_F} 

59582  22 
 _ => th RS @{thm iff_reflection_T}); 
0  23 

6114
45958e54d72e
congruence rules finally use == instead of = and <>
paulson
parents:
5555
diff
changeset

24 
(*Replace premises x=y, X<>Y by X==Y*) 
36546  25 
fun mk_meta_prems ctxt = 
26 
rule_by_tactic ctxt 

59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
58963
diff
changeset

27 
(REPEAT_FIRST (resolve_tac ctxt [@{thm meta_eq_to_obj_eq}, @{thm def_imp_iff}])); 
6114
45958e54d72e
congruence rules finally use == instead of = and <>
paulson
parents:
5555
diff
changeset

28 

9713  29 
(*Congruence rules for = or <> (instead of ==)*) 
51717
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
45659
diff
changeset

30 
fun mk_meta_cong ctxt rl = 
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
45659
diff
changeset

31 
Drule.zero_var_indexes (mk_meta_eq (mk_meta_prems ctxt rl)) 
35021
c839a4c670c6
renamed oldstyle Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
32957
diff
changeset

32 
handle THM _ => 
c839a4c670c6
renamed oldstyle Drule.standard to Drule.export_without_context, to emphasize that this is in no way a standard operation;
wenzelm
parents:
32957
diff
changeset

33 
error("Premises and conclusion of congruence rules must use =equality or <>"); 
5555  34 

5304  35 
val mksimps_pairs = 
69593  36 
[(\<^const_name>\<open>imp\<close>, [@{thm mp}]), (\<^const_name>\<open>conj\<close>, [@{thm conjunct1}, @{thm conjunct2}]), 
37 
(\<^const_name>\<open>All\<close>, [@{thm spec}]), (\<^const_name>\<open>True\<close>, []), (\<^const_name>\<open>False\<close>, [])]; 

5304  38 

39 
fun mk_atomize pairs = 

59582  40 
let 
41 
fun atoms th = 

42 
(case Thm.concl_of th of 

69593  43 
Const(\<^const_name>\<open>Trueprop\<close>,_) $ p => 
59582  44 
(case head_of p of 
45 
Const(a,_) => 

46 
(case AList.lookup (op =) pairs a of 

47 
SOME(rls) => maps atoms ([th] RL rls) 

48 
 NONE => [th]) 

49 
 _ => [th]) 

50 
 _ => [th]) 

5304  51 
in atoms end; 
52 

60822  53 
fun mksimps pairs ctxt = map mk_eq o mk_atomize pairs o Variable.gen_all ctxt; 
981  54 

1914  55 

4349
50403e5a44c0
Instantiated the onepointrule quantifier simpprocs for FOL
paulson
parents:
4325
diff
changeset

56 
(** make simplification procedures for quantifier elimination **) 
42458  57 
structure Quantifier1 = Quantifier1 
58 
( 

4349
50403e5a44c0
Instantiated the onepointrule quantifier simpprocs for FOL
paulson
parents:
4325
diff
changeset

59 
(*abstract syntax*) 
69593  60 
fun dest_eq (Const (\<^const_name>\<open>eq\<close>, _) $ s $ t) = SOME (s, t) 
42460  61 
 dest_eq _ = NONE 
69593  62 
fun dest_conj (Const (\<^const_name>\<open>conj\<close>, _) $ s $ t) = SOME (s, t) 
42460  63 
 dest_conj _ = NONE 
69593  64 
fun dest_imp (Const (\<^const_name>\<open>imp\<close>, _) $ s $ t) = SOME (s, t) 
42460  65 
 dest_imp _ = NONE 
4349
50403e5a44c0
Instantiated the onepointrule quantifier simpprocs for FOL
paulson
parents:
4325
diff
changeset

66 
val conj = FOLogic.conj 
50403e5a44c0
Instantiated the onepointrule quantifier simpprocs for FOL
paulson
parents:
4325
diff
changeset

67 
val imp = FOLogic.imp 
50403e5a44c0
Instantiated the onepointrule quantifier simpprocs for FOL
paulson
parents:
4325
diff
changeset

68 
(*rules*) 
26288
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

69 
val iff_reflection = @{thm iff_reflection} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

70 
val iffI = @{thm iffI} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

71 
val iff_trans = @{thm iff_trans} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

72 
val conjI= @{thm conjI} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

73 
val conjE= @{thm conjE} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

74 
val impI = @{thm impI} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

75 
val mp = @{thm mp} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

76 
val uncurry = @{thm uncurry} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

77 
val exI = @{thm exI} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

78 
val exE = @{thm exE} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

79 
val iff_allI = @{thm iff_allI} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

80 
val iff_exI = @{thm iff_exI} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

81 
val all_comm = @{thm all_comm} 
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

82 
val ex_comm = @{thm ex_comm} 
42458  83 
); 
4349
50403e5a44c0
Instantiated the onepointrule quantifier simpprocs for FOL
paulson
parents:
4325
diff
changeset

84 

50403e5a44c0
Instantiated the onepointrule quantifier simpprocs for FOL
paulson
parents:
4325
diff
changeset

85 

50403e5a44c0
Instantiated the onepointrule quantifier simpprocs for FOL
paulson
parents:
4325
diff
changeset

86 
(*** Case splitting ***) 
0  87 

32177
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

88 
structure Splitter = Splitter 
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

89 
( 
69593  90 
val context = \<^context> 
32177
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

91 
val mk_eq = mk_eq 
26288
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

92 
val meta_eq_to_iff = @{thm meta_eq_to_iff} 
32177
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

93 
val iffD = @{thm iffD2} 
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

94 
val disjE = @{thm disjE} 
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

95 
val conjE = @{thm conjE} 
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

96 
val exE = @{thm exE} 
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

97 
val contrapos = @{thm contrapos} 
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

98 
val contrapos2 = @{thm contrapos2} 
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

99 
val notnotD = @{thm notnotD} 
63637  100 
val safe_tac = Cla.safe_tac 
32177
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

101 
); 
1722  102 

32177
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

103 
val split_tac = Splitter.split_tac; 
5304  104 
val split_inside_tac = Splitter.split_inside_tac; 
32177
bc02c5bfcb5b
renamed functor SplitterFun to Splitter, require explicit theory;
wenzelm
parents:
32155
diff
changeset

105 
val split_asm_tac = Splitter.split_asm_tac; 
4325  106 

107 

2074
30a65172e003
Added the de Morgan laws (incl quantifier versions) to basic simpset
paulson
parents:
2065
diff
changeset

108 
(*** Standard simpsets ***) 
30a65172e003
Added the de Morgan laws (incl quantifier versions) to basic simpset
paulson
parents:
2065
diff
changeset

109 

26288
89b9f7c18631
eliminated outofscope proofs (cf. theory IFOL and FOL);
wenzelm
parents:
22822
diff
changeset

110 
val triv_rls = [@{thm TrueI}, @{thm refl}, reflexive_thm, @{thm iff_refl}, @{thm notFalseI}]; 
2074
30a65172e003
Added the de Morgan laws (incl quantifier versions) to basic simpset
paulson
parents:
2065
diff
changeset

111 

51717
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
45659
diff
changeset

112 
fun unsafe_solver ctxt = 
59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
58963
diff
changeset

113 
FIRST' [resolve_tac ctxt (triv_rls @ Simplifier.prems_of ctxt), 
58963
26bf09b95dda
proper context for assume_tac (atac remains as fallback without context);
wenzelm
parents:
58957
diff
changeset

114 
assume_tac ctxt, 
59498
50b60f501b05
proper context for resolve_tac, eresolve_tac, dresolve_tac, forward_tac etc.;
wenzelm
parents:
58963
diff
changeset

115 
eresolve_tac ctxt @{thms FalseE}]; 
43597  116 

2633
37c0b5a7ee5d
added delcongs, Delcongs, unsafe_solver, safe_solver, FOL_basic_ss,
oheimb
parents:
2601
diff
changeset

117 
(*No premature instantiation of variables during simplification*) 
51717
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
45659
diff
changeset

118 
fun safe_solver ctxt = 
58957  119 
FIRST' [match_tac ctxt (triv_rls @ Simplifier.prems_of ctxt), 
120 
eq_assume_tac, ematch_tac ctxt @{thms FalseE}]; 

2633
37c0b5a7ee5d
added delcongs, Delcongs, unsafe_solver, safe_solver, FOL_basic_ss,
oheimb
parents:
2601
diff
changeset

121 

3910  122 
(*No simprules, but basic infastructure for simplification*) 
17892  123 
val FOL_basic_ss = 
69593  124 
empty_simpset \<^context> 
10431  125 
setSSolver (mk_solver "FOL safe" safe_solver) 
126 
setSolver (mk_solver "FOL unsafe" unsafe_solver) 

45625
750c5a47400b
modernized some oldstyle infix operations, which were left over from the time of ML proof scripts;
wenzelm
parents:
45620
diff
changeset

127 
> Simplifier.set_subgoaler asm_simp_tac 
750c5a47400b
modernized some oldstyle infix operations, which were left over from the time of ML proof scripts;
wenzelm
parents:
45620
diff
changeset

128 
> Simplifier.set_mksimps (mksimps mksimps_pairs) 
51717
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
45659
diff
changeset

129 
> Simplifier.set_mkcong mk_meta_cong 
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
45659
diff
changeset

130 
> simpset_of; 
5304  131 

54998  132 
fun unfold_tac ctxt ths = 
51717
9e7d1c139569
simplifier uses proper Proof.context instead of historic type simpset;
wenzelm
parents:
45659
diff
changeset

133 
ALLGOALS (full_simp_tac (clear_simpset (put_simpset FOL_basic_ss ctxt) addsimps ths)); 
17002  134 

2633
37c0b5a7ee5d
added delcongs, Delcongs, unsafe_solver, safe_solver, FOL_basic_ss,
oheimb
parents:
2601
diff
changeset

135 

5219  136 
(*** integration of simplifier with classical reasoner ***) 
2633
37c0b5a7ee5d
added delcongs, Delcongs, unsafe_solver, safe_solver, FOL_basic_ss,
oheimb
parents:
2601
diff
changeset

137 

42478  138 
structure Clasimp = Clasimp 
139 
( 

140 
structure Simplifier = Simplifier 

141 
and Splitter = Splitter 

142 
and Classical = Cla 

143 
and Blast = Blast 

144 
val iffD1 = @{thm iffD1} 

145 
val iffD2 = @{thm iffD2} 

146 
val notE = @{thm notE} 

147 
); 

4652
d24cca140eeb
factored out common code of HOL/simpdata.ML and FOL/simpdata.ML concerning
oheimb
parents:
4649
diff
changeset

148 
open Clasimp; 
2633
37c0b5a7ee5d
added delcongs, Delcongs, unsafe_solver, safe_solver, FOL_basic_ss,
oheimb
parents:
2601
diff
changeset

149 