author  paulson 
Tue, 27 Jul 1999 19:02:43 +0200  
changeset 7098  86583034aacf 
child 7123  4ab38de3fd20 
permissions  rwrr 
7098
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

1 
(* Title: Sequents/simpdata.ML 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

2 
ID: $Id$ 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

3 
Author: Lawrence C Paulson 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

4 
Copyright 1999 University of Cambridge 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

5 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

6 
Instantiation of the generic simplifier for LK 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

7 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

8 
Borrows from the DC simplifier of Soren Heilmann. 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

9 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

10 
MAJOR LIMITATION: leftside sequent formulae are not added to the simpset. 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

11 
However, congruence rules for > and & are available. 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

12 
The rule backwards_impR can be used to convert assumptions into rightside 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

13 
implications. 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

14 
*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

15 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

16 
(*** Rewrite rules ***) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

17 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

18 
fun prove_fun s = 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

19 
(writeln s; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

20 
prove_goal LK.thy s 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

21 
(fn prems => [ (cut_facts_tac prems 1), 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

22 
(fast_tac LK_pack 1) ])); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

23 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

24 
val conj_simps = map prove_fun 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

25 
[" P & True <> P", " True & P <> P", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

26 
" P & False <> False", " False & P <> False", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

27 
" P & P <> P", "  P & P & Q <> P & Q", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

28 
" P & ~P <> False", " ~P & P <> False", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

29 
" (P & Q) & R <> P & (Q & R)"]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

30 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

31 
val disj_simps = map prove_fun 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

32 
[" P  True <> True", " True  P <> True", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

33 
" P  False <> P", " False  P <> P", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

34 
" P  P <> P", " P  P  Q <> P  Q", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

35 
" (P  Q)  R <> P  (Q  R)"]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

36 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

37 
val not_simps = map prove_fun 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

38 
[" ~ False <> True", " ~ True <> False"]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

39 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

40 
val imp_simps = map prove_fun 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

41 
[" (P > False) <> ~P", " (P > True) <> True", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

42 
" (False > P) <> True", " (True > P) <> P", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

43 
" (P > P) <> True", " (P > ~P) <> ~P"]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

44 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

45 
val iff_simps = map prove_fun 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

46 
[" (True <> P) <> P", " (P <> True) <> P", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

47 
" (P <> P) <> True", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

48 
" (False <> P) <> ~P", " (P <> False) <> ~P"]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

49 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

50 
(*These are NOT supplied by default!*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

51 
val distrib_simps = map prove_fun 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

52 
[" P & (Q  R) <> P&Q  P&R", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

53 
" (Q  R) & P <> Q&P  R&P", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

54 
" (P  Q > R) <> (P > R) & (Q > R)"]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

55 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

56 
(** Conversion into rewrite rules **) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

57 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

58 
fun gen_all th = forall_elim_vars (#maxidx(rep_thm th)+1) th; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

59 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

60 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

61 
(*Make atomic rewrite rules*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

62 
fun atomize r = 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

63 
case concl_of r of 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

64 
Const("Trueprop",_) $ Abs(_,_,a) $ Abs(_,_,c) => 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

65 
(case (forms_of_seq a, forms_of_seq c) of 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

66 
([], [p]) => 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

67 
(case p of 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

68 
Const("op >",_)$_$_ => atomize(r RS mp_R) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

69 
 Const("op &",_)$_$_ => atomize(r RS conjunct1) @ 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

70 
atomize(r RS conjunct2) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

71 
 Const("All",_)$_ => atomize(r RS spec) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

72 
 Const("True",_) => [] (*True is DELETED*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

73 
 Const("False",_) => [] (*should False do something?*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

74 
 _ => [r]) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

75 
 _ => []) (*ignore theorem unless it has precisely one conclusion*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

76 
 _ => [r]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

77 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

78 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

79 
qed_goal "P_iff_F" LK.thy " ~P ==>  (P <> False)" 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

80 
(fn prems => [lemma_tac (hd prems) 1, fast_tac LK_pack 1]); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

81 
val iff_reflection_F = P_iff_F RS iff_reflection; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

82 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

83 
qed_goal "P_iff_T" LK.thy " P ==>  (P <> True)" 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

84 
(fn prems => [lemma_tac (hd prems) 1, fast_tac LK_pack 1]); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

85 
val iff_reflection_T = P_iff_T RS iff_reflection; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

86 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

87 
(*Make metaequalities.*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

88 
fun mk_meta_eq th = case concl_of th of 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

89 
Const("==",_)$_$_ => th 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

90 
 Const("Trueprop",_) $ Abs(_,_,a) $ Abs(_,_,c) => 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

91 
(case (forms_of_seq a, forms_of_seq c) of 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

92 
([], [p]) => 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

93 
(case p of 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

94 
(Const("op =",_)$_$_) => th RS eq_reflection 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

95 
 (Const("op <>",_)$_$_) => th RS iff_reflection 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

96 
 (Const("Not",_)$_) => th RS iff_reflection_F 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

97 
 _ => th RS iff_reflection_T) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

98 
 _ => error ("addsimps: unable to use theorem\n" ^ 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

99 
string_of_thm th)); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

100 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

101 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

102 
(*** Named rewrite rules proved for PL ***) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

103 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

104 
fun prove nm thm = qed_goal nm LK.thy thm 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

105 
(fn prems => [ (cut_facts_tac prems 1), 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

106 
(fast_tac LK_pack 1) ]); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

107 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

108 
prove "conj_commute" " P&Q <> Q&P"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

109 
prove "conj_left_commute" " P&(Q&R) <> Q&(P&R)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

110 
val conj_comms = [conj_commute, conj_left_commute]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

111 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

112 
prove "disj_commute" " PQ <> QP"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

113 
prove "disj_left_commute" " P(QR) <> Q(PR)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

114 
val disj_comms = [disj_commute, disj_left_commute]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

115 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

116 
prove "conj_disj_distribL" " P&(QR) <> (P&Q  P&R)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

117 
prove "conj_disj_distribR" " (PQ)&R <> (P&R  Q&R)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

118 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

119 
prove "disj_conj_distribL" " P(Q&R) <> (PQ) & (PR)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

120 
prove "disj_conj_distribR" " (P&Q)R <> (PR) & (QR)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

121 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

122 
prove "imp_conj_distrib" " (P > (Q&R)) <> (P>Q) & (P>R)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

123 
prove "imp_conj" " ((P&Q)>R) <> (P > (Q > R))"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

124 
prove "imp_disj" " (PQ > R) <> (P>R) & (Q>R)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

125 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

126 
prove "imp_disj1" " (P>Q)  R <> (P>Q  R)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

127 
prove "imp_disj2" " Q  (P>R) <> (P>Q  R)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

128 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

129 
prove "de_Morgan_disj" " (~(P  Q)) <> (~P & ~Q)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

130 
prove "de_Morgan_conj" " (~(P & Q)) <> (~P  ~Q)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

131 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

132 
prove "not_iff" " ~(P <> Q) <> (P <> ~Q)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

133 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

134 
prove "iff_refl" " (P <> P)"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

135 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

136 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

137 
val [p1,p2] = Goal 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

138 
"[  P <> P';  P' ==>  Q <> Q' ] ==>  (P>Q) <> (P'>Q')"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

139 
by (lemma_tac p1 1); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

140 
by (Safe_tac 1); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

141 
by (REPEAT (rtac cut 1 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

142 
THEN 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

143 
DEPTH_SOLVE_1 (resolve_tac [thinL, thinR, p2 COMP monotonic] 1) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

144 
THEN 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

145 
Safe_tac 1)); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

146 
qed "imp_cong"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

147 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

148 
val [p1,p2] = Goal 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

149 
"[  P <> P';  P' ==>  Q <> Q' ] ==>  (P&Q) <> (P'&Q')"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

150 
by (lemma_tac p1 1); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

151 
by (Safe_tac 1); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

152 
by (REPEAT (rtac cut 1 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

153 
THEN 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

154 
DEPTH_SOLVE_1 (resolve_tac [thinL, thinR, p2 COMP monotonic] 1) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

155 
THEN 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

156 
Safe_tac 1)); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

157 
qed "conj_cong"; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

158 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

159 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

160 
open Simplifier; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

161 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

162 
(*** Standard simpsets ***) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

163 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

164 
(*Add congruence rules for = or <> (instead of ==) *) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

165 
infix 4 addcongs delcongs; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

166 
fun ss addcongs congs = 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

167 
ss addeqcongs (map standard (congs RL [eq_reflection,iff_reflection])); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

168 
fun ss delcongs congs = 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

169 
ss deleqcongs (map standard (congs RL [eq_reflection,iff_reflection])); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

170 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

171 
fun Addcongs congs = (simpset_ref() := simpset() addcongs congs); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

172 
fun Delcongs congs = (simpset_ref() := simpset() delcongs congs); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

173 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

174 
val triv_rls = [FalseL, TrueR, basic, refl, iff_refl]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

175 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

176 
fun unsafe_solver prems = FIRST'[resolve_tac (triv_rls@prems), 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

177 
assume_tac]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

178 
(*No premature instantiation of variables during simplification*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

179 
fun safe_solver prems = FIRST'[fn i => DETERM (match_tac (triv_rls@prems) i), 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

180 
eq_assume_tac]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

181 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

182 
(*No simprules, but basic infrastructure for simplification*) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

183 
val LK_basic_ss = empty_ss setsubgoaler asm_simp_tac 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

184 
setSSolver safe_solver 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

185 
setSolver unsafe_solver 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

186 
setmksimps (map mk_meta_eq o atomize o gen_all); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

187 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

188 
val LK_simps = 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

189 
[refl RS P_iff_T] @ conj_simps @ disj_simps @ not_simps @ 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

190 
imp_simps @ iff_simps @ 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

191 
[de_Morgan_conj, de_Morgan_disj, imp_disj1, imp_disj2] @ 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

192 
map prove_fun 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

193 
[" P  ~P", " ~P  P", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

194 
" ~ ~ P <> P", " (~P > P) <> P", 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

195 
" (~P <> ~Q) <> (P<>Q)"]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

196 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

197 
val LK_ss = LK_basic_ss addsimps LK_simps addcongs [imp_cong]; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

198 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

199 
simpset_ref() := LK_ss; 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

200 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

201 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

202 
(* Subst rule *) 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

203 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

204 
qed_goal "subst" LK.thy " a=b ==> $H, A(a), $G  $E, A(b), $F" 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

205 
(fn prems => 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

206 
[cut_facts_tac prems 1, 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

207 
asm_simp_tac LK_basic_ss 1]); 
86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

208 

86583034aacf
installation of simplifier and classical reasoner, better rules etc
paulson
parents:
diff
changeset

209 