author  wenzelm 
Thu, 03 Feb 1994 13:55:03 +0100  
changeset 252  7532f95d7f44 
parent 229  4002c4cd450c 
child 385  921f87897a76 
permissions  rwrr 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

1 
(* Title: Pure/drule.ML 
0  2 
ID: $Id$ 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

3 
Author: Lawrence C Paulson, Cambridge University Computer Laboratory 
0  4 
Copyright 1993 University of Cambridge 
5 

6 
Derived rules and other operations on theorems and theories 

7 
*) 

8 

11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

9 
infix 0 RS RSN RL RLN MRS MRL COMP; 
0  10 

11 
signature DRULE = 

12 
sig 

13 
structure Thm : THM 

14 
local open Thm in 

15 
val asm_rl: thm 

16 
val assume_ax: theory > string > thm 

17 
val COMP: thm * thm > thm 

18 
val compose: thm * int * thm > thm list 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

19 
val cterm_instantiate: (cterm*cterm)list > thm > thm 
0  20 
val cut_rl: thm 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

21 
val equal_abs_elim: cterm > thm > thm 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

22 
val equal_abs_elim_list: cterm list > thm > thm 
0  23 
val eq_thm: thm * thm > bool 
24 
val eq_thm_sg: thm * thm > bool 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

25 
val flexpair_abs_elim_list: cterm list > thm > thm 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

26 
val forall_intr_list: cterm list > thm > thm 
0  27 
val forall_intr_frees: thm > thm 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

28 
val forall_elim_list: cterm list > thm > thm 
0  29 
val forall_elim_var: int > thm > thm 
30 
val forall_elim_vars: int > thm > thm 

31 
val implies_elim_list: thm > thm list > thm 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

32 
val implies_intr_list: cterm list > thm > thm 
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

33 
val MRL: thm list list * thm list > thm list 
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

34 
val MRS: thm list * thm > thm 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

35 
val pprint_cterm: cterm > pprint_args > unit 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

36 
val pprint_ctyp: ctyp > pprint_args > unit 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

37 
val pprint_theory: theory > pprint_args > unit 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

38 
val pprint_thm: thm > pprint_args > unit 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

39 
val pretty_thm: thm > Sign.Syntax.Pretty.T 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

40 
val print_cterm: cterm > unit 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

41 
val print_ctyp: ctyp > unit 
0  42 
val print_goals: int > thm > unit 
67  43 
val print_goals_ref: (int > thm > unit) ref 
0  44 
val print_theory: theory > unit 
45 
val print_thm: thm > unit 

46 
val prth: thm > thm 

47 
val prthq: thm Sequence.seq > thm Sequence.seq 

48 
val prths: thm list > thm list 

49 
val read_instantiate: (string*string)list > thm > thm 

50 
val read_instantiate_sg: Sign.sg > (string*string)list > thm > thm 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

51 
val read_insts: 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

52 
Sign.sg > (indexname > typ option) * (indexname > sort option) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

53 
> (indexname > typ option) * (indexname > sort option) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

54 
> (string*string)list 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

55 
> (indexname*ctyp)list * (cterm*cterm)list 
0  56 
val reflexive_thm: thm 
57 
val revcut_rl: thm 

214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

58 
val rewrite_goal_rule: bool*bool > (meta_simpset > thm > thm option) 
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

59 
> meta_simpset > int > thm > thm 
0  60 
val rewrite_goals_rule: thm list > thm > thm 
61 
val rewrite_rule: thm list > thm > thm 

62 
val RS: thm * thm > thm 

63 
val RSN: thm * (int * thm) > thm 

64 
val RL: thm list * thm list > thm list 

65 
val RLN: thm list * (int * thm list) > thm list 

66 
val show_hyps: bool ref 

67 
val size_of_thm: thm > int 

68 
val standard: thm > thm 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

69 
val string_of_cterm: cterm > string 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

70 
val string_of_ctyp: ctyp > string 
0  71 
val string_of_thm: thm > string 
72 
val symmetric_thm: thm 

73 
val transitive_thm: thm 

74 
val triv_forall_equality: thm 

75 
val types_sorts: thm > (indexname> typ option) * (indexname> sort option) 

76 
val zero_var_indexes: thm > thm 

77 
end 

78 
end; 

79 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

80 
functor DruleFun (structure Logic: LOGIC and Thm: THM): DRULE = 
0  81 
struct 
82 
structure Thm = Thm; 

83 
structure Sign = Thm.Sign; 

84 
structure Type = Sign.Type; 

85 
structure Pretty = Sign.Syntax.Pretty 

86 
local open Thm 

87 
in 

88 

89 
(**** More derived rules and operations on theorems ****) 

90 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

91 
(** reading of instantiations **) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

92 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

93 
fun indexname cs = case Syntax.scan_varname cs of (v,[]) => v 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

94 
 _ => error("Lexical error in variable name " ^ quote (implode cs)); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

95 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

96 
fun absent ixn = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

97 
error("No such variable in term: " ^ Syntax.string_of_vname ixn); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

98 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

99 
fun inst_failure ixn = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

100 
error("Instantiation of " ^ Syntax.string_of_vname ixn ^ " fails"); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

101 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

102 
fun read_insts sign (rtypes,rsorts) (types,sorts) insts = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

103 
let val {tsig,...} = Sign.rep_sg sign 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

104 
fun split([],tvs,vs) = (tvs,vs) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

105 
 split((sv,st)::l,tvs,vs) = (case explode sv of 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

106 
"'"::cs => split(l,(indexname cs,st)::tvs,vs) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

107 
 cs => split(l,tvs,(indexname cs,st)::vs)); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

108 
val (tvs,vs) = split(insts,[],[]); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

109 
fun readT((a,i),st) = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

110 
let val ixn = ("'" ^ a,i); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

111 
val S = case rsorts ixn of Some S => S  None => absent ixn; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

112 
val T = Sign.read_typ (sign,sorts) st; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

113 
in if Type.typ_instance(tsig,T,TVar(ixn,S)) then (ixn,T) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

114 
else inst_failure ixn 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

115 
end 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

116 
val tye = map readT tvs; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

117 
fun add_cterm ((cts,tye), (ixn,st)) = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

118 
let val T = case rtypes ixn of 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

119 
Some T => typ_subst_TVars tye T 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

120 
 None => absent ixn; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

121 
val (ct,tye2) = read_def_cterm (sign,types,sorts) (st,T); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

122 
val cv = cterm_of sign (Var(ixn,typ_subst_TVars tye2 T)) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

123 
in ((cv,ct)::cts,tye2 @ tye) end 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

124 
val (cterms,tye') = foldl add_cterm (([],tye), vs); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

125 
in (map (fn (ixn,T) => (ixn,ctyp_of sign T)) tye', cterms) end; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

126 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

127 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

128 

7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

129 
(*** Printing of theories, theorems, etc. ***) 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

130 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

131 
(*If false, hypotheses are printed as dots*) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

132 
val show_hyps = ref true; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

133 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

134 
fun pretty_thm th = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

135 
let val {sign, hyps, prop,...} = rep_thm th 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

136 
val hsymbs = if null hyps then [] 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

137 
else if !show_hyps then 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

138 
[Pretty.brk 2, 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

139 
Pretty.lst("[","]") (map (Sign.pretty_term sign) hyps)] 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

140 
else Pretty.str" [" :: map (fn _ => Pretty.str".") hyps @ 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

141 
[Pretty.str"]"]; 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

142 
in Pretty.blk(0, Sign.pretty_term sign prop :: hsymbs) end; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

143 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

144 
val string_of_thm = Pretty.string_of o pretty_thm; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

145 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

146 
val pprint_thm = Pretty.pprint o Pretty.quote o pretty_thm; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

147 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

148 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

149 
(** Toplevel commands for printing theorems **) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

150 
val print_thm = writeln o string_of_thm; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

151 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

152 
fun prth th = (print_thm th; th); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

153 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

154 
(*Print and return a sequence of theorems, separated by blank lines. *) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

155 
fun prthq thseq = 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

156 
(Sequence.prints (fn _ => print_thm) 100000 thseq; thseq); 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

157 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

158 
(*Print and return a list of theorems, separated by blank lines. *) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

159 
fun prths ths = (print_list_ln print_thm ths; ths); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

160 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

161 

7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

162 
(* other printing commands *) 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

163 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

164 
fun pprint_ctyp cT = 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

165 
let val {sign, T} = rep_ctyp cT in Sign.pprint_typ sign T end; 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

166 

7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

167 
fun string_of_ctyp cT = 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

168 
let val {sign, T} = rep_ctyp cT in Sign.string_of_typ sign T end; 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

169 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

170 
val print_ctyp = writeln o string_of_ctyp; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

171 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

172 
fun pprint_cterm ct = 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

173 
let val {sign, t, ...} = rep_cterm ct in Sign.pprint_term sign t end; 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

174 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

175 
fun string_of_cterm ct = 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

176 
let val {sign, t, ...} = rep_cterm ct in Sign.string_of_term sign t end; 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

177 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

178 
val print_cterm = writeln o string_of_cterm; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

179 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

180 

7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

181 
(* print theory *) 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

182 

7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

183 
val pprint_theory = Sign.pprint_sg o sign_of; 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

184 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

185 
fun print_theory thy = 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

186 
let 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

187 
fun prt_thm (name, thm) = Pretty.block 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

188 
[Pretty.str (name ^ ":"), Pretty.brk 1, Pretty.quote (pretty_thm thm)]; 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

189 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

190 
val sg = sign_of thy; 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

191 
val axioms = (* FIXME should rather fix axioms_of *) 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

192 
sort (fn ((x, _), (y, _)) => x <= y) 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

193 
(gen_distinct eq_fst (axioms_of thy)); 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

194 
in 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

195 
Sign.print_sg sg; 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

196 
Pretty.writeln (Pretty.big_list "axioms:" (map prt_thm axioms)) 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

197 
end; 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

198 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

199 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

200 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

201 
(** Print thm A1,...,An/B in "goal style"  premises as numbered subgoals **) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

202 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

203 
fun prettyprints es = writeln(Pretty.string_of(Pretty.blk(0,es))); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

204 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

205 
fun print_goals maxgoals th : unit = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

206 
let val {sign, hyps, prop,...} = rep_thm th; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

207 
fun printgoals (_, []) = () 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

208 
 printgoals (n, A::As) = 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

209 
let val prettyn = Pretty.str(" " ^ string_of_int n ^ ". "); 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

210 
val prettyA = Sign.pretty_term sign A 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

211 
in prettyprints[prettyn,prettyA]; 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

212 
printgoals (n+1,As) 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

213 
end; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

214 
fun prettypair(t,u) = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

215 
Pretty.blk(0, [Sign.pretty_term sign t, Pretty.str" =?=", Pretty.brk 1, 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

216 
Sign.pretty_term sign u]); 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

217 
fun printff [] = () 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

218 
 printff tpairs = 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

219 
writeln("\nFlexflex pairs:\n" ^ 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

220 
Pretty.string_of(Pretty.lst("","") (map prettypair tpairs))) 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

221 
val (tpairs,As,B) = Logic.strip_horn(prop); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

222 
val ngoals = length As 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

223 
in 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

224 
writeln (Sign.string_of_term sign B); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

225 
if ngoals=0 then writeln"No subgoals!" 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

226 
else if ngoals>maxgoals 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

227 
then (printgoals (1, take(maxgoals,As)); 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

228 
writeln("A total of " ^ string_of_int ngoals ^ " subgoals...")) 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

229 
else printgoals (1, As); 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

230 
printff tpairs 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

231 
end; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

232 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

233 
(*"hook" for user interfaces: allows print_goals to be replaced*) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

234 
val print_goals_ref = ref print_goals; 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

235 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

236 
(*** Find the type (sort) associated with a (T)Var or (T)Free in a term 
0  237 
Used for establishing default types (of variables) and sorts (of 
238 
type variables) when reading another term. 

239 
Index 1 indicates that a (T)Free rather than a (T)Var is wanted. 

240 
***) 

241 

242 
fun types_sorts thm = 

243 
let val {prop,hyps,...} = rep_thm thm; 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

244 
val big = list_comb(prop,hyps); (* bogus term! *) 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

245 
val vars = map dest_Var (term_vars big); 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

246 
val frees = map dest_Free (term_frees big); 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

247 
val tvars = term_tvars big; 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

248 
val tfrees = term_tfrees big; 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

249 
fun typ(a,i) = if i<0 then assoc(frees,a) else assoc(vars,(a,i)); 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

250 
fun sort(a,i) = if i<0 then assoc(tfrees,a) else assoc(tvars,(a,i)); 
0  251 
in (typ,sort) end; 
252 

253 
(** Standardization of rules **) 

254 

255 
(*Generalization over a list of variables, IGNORING bad ones*) 

256 
fun forall_intr_list [] th = th 

257 
 forall_intr_list (y::ys) th = 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

258 
let val gth = forall_intr_list ys th 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

259 
in forall_intr y gth handle THM _ => gth end; 
0  260 

261 
(*Generalization over all suitable Free variables*) 

262 
fun forall_intr_frees th = 

263 
let val {prop,sign,...} = rep_thm th 

264 
in forall_intr_list 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

265 
(map (cterm_of sign) (sort atless (term_frees prop))) 
0  266 
th 
267 
end; 

268 

269 
(*Replace outermost quantified variable by Var of given index. 

270 
Could clash with Vars already present.*) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

271 
fun forall_elim_var i th = 
0  272 
let val {prop,sign,...} = rep_thm th 
273 
in case prop of 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

274 
Const("all",_) $ Abs(a,T,_) => 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

275 
forall_elim (cterm_of sign (Var((a,i), T))) th 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

276 
 _ => raise THM("forall_elim_var", i, [th]) 
0  277 
end; 
278 

279 
(*Repeat forall_elim_var until all outer quantifiers are removed*) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

280 
fun forall_elim_vars i th = 
0  281 
forall_elim_vars i (forall_elim_var i th) 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

282 
handle THM _ => th; 
0  283 

284 
(*Specialization over a list of cterms*) 

285 
fun forall_elim_list cts th = foldr (uncurry forall_elim) (rev cts, th); 

286 

287 
(* maps [A1,...,An], B to [ A1;...;An ] ==> B *) 

288 
fun implies_intr_list cAs th = foldr (uncurry implies_intr) (cAs,th); 

289 

290 
(* maps [ A1;...;An ] ==> B and [A1,...,An] to B *) 

291 
fun implies_elim_list impth ths = foldl (uncurry implies_elim) (impth,ths); 

292 

293 
(*Reset Var indexes to zero, renaming to preserve distinctness*) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

294 
fun zero_var_indexes th = 
0  295 
let val {prop,sign,...} = rep_thm th; 
296 
val vars = term_vars prop 

297 
val bs = foldl add_new_id ([], map (fn Var((a,_),_)=>a) vars) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

298 
val inrs = add_term_tvars(prop,[]); 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

299 
val nms' = rev(foldl add_new_id ([], map (#1 o #1) inrs)); 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

300 
val tye = map (fn ((v,rs),a) => (v, TVar((a,0),rs))) (inrs ~~ nms') 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

301 
val ctye = map (fn (v,T) => (v,ctyp_of sign T)) tye; 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

302 
fun varpairs([],[]) = [] 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

303 
 varpairs((var as Var(v,T)) :: vars, b::bs) = 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

304 
let val T' = typ_subst_TVars tye T 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

305 
in (cterm_of sign (Var(v,T')), 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

306 
cterm_of sign (Var((b,0),T'))) :: varpairs(vars,bs) 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

307 
end 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

308 
 varpairs _ = raise TERM("varpairs", []); 
0  309 
in instantiate (ctye, varpairs(vars,rev bs)) th end; 
310 

311 

312 
(*Standard form of objectrule: no hypotheses, Frees, or outer quantifiers; 

313 
all generality expressed by Vars having index 0.*) 

314 
fun standard th = 

315 
let val {maxidx,...} = rep_thm th 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

316 
in varifyT (zero_var_indexes (forall_elim_vars(maxidx+1) 
0  317 
(forall_intr_frees(implies_intr_hyps th)))) 
318 
end; 

319 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

320 
(*Assume a new formula, read following the same conventions as axioms. 
0  321 
Generalizes over Free variables, 
322 
creates the assumption, and then strips quantifiers. 

323 
Example is [ ALL x:?A. ?P(x) ] ==> [ ?P(?a) ] 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

324 
[ !(A,P,a)[ ALL x:A. P(x) ] ==> [ P(a) ] ] *) 
0  325 
fun assume_ax thy sP = 
326 
let val sign = sign_of thy 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

327 
val prop = Logic.close_form (term_of (read_cterm sign 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

328 
(sP, propT))) 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

329 
in forall_elim_vars 0 (assume (cterm_of sign prop)) end; 
0  330 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

331 
(*Resolution: exactly one resolvent must be produced.*) 
0  332 
fun tha RSN (i,thb) = 
333 
case Sequence.chop (2, biresolution false [(false,tha)] i thb) of 

334 
([th],_) => th 

335 
 ([],_) => raise THM("RSN: no unifiers", i, [tha,thb]) 

336 
 _ => raise THM("RSN: multiple unifiers", i, [tha,thb]); 

337 

338 
(*resolution: P==>Q, Q==>R gives P==>R. *) 

339 
fun tha RS thb = tha RSN (1,thb); 

340 

341 
(*For joining lists of rules*) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

342 
fun thas RLN (i,thbs) = 
0  343 
let val resolve = biresolution false (map (pair false) thas) i 
344 
fun resb thb = Sequence.list_of_s (resolve thb) handle THM _ => [] 

345 
in flat (map resb thbs) end; 

346 

347 
fun thas RL thbs = thas RLN (1,thbs); 

348 

11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

349 
(*Resolve a list of rules against bottom_rl from right to left; 
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

350 
makes proof trees*) 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

351 
fun rls MRS bottom_rl = 
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

352 
let fun rs_aux i [] = bottom_rl 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

353 
 rs_aux i (rl::rls) = rl RSN (i, rs_aux (i+1) rls) 
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

354 
in rs_aux 1 rls end; 
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

355 

d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

356 
(*As above, but for rule lists*) 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

357 
fun rlss MRL bottom_rls = 
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

358 
let fun rs_aux i [] = bottom_rls 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

359 
 rs_aux i (rls::rlss) = rls RLN (i, rs_aux (i+1) rlss) 
11
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

360 
in rs_aux 1 rlss end; 
d0e17c42dbb4
Added MRS, MRL from ZF/ROOT.ML. These support forward proof, resolving a
lcp
parents:
0
diff
changeset

361 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

362 
(*compose Q and [...,Qi,Q(i+1),...]==>R to [...,Q(i+1),...]==>R 
0  363 
with no lifting or renaming! Q may contain ==> or metaquants 
364 
ALWAYS deletes premise i *) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

365 
fun compose(tha,i,thb) = 
0  366 
Sequence.list_of_s (bicompose false (false,tha,0) i thb); 
367 

368 
(*compose Q and [Q1,Q2,...,Qk]==>R to [Q2,...,Qk]==>R getting unique result*) 

369 
fun tha COMP thb = 

370 
case compose(tha,1,thb) of 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

371 
[th] => th 
0  372 
 _ => raise THM("COMP", 1, [tha,thb]); 
373 

374 
(*Instantiate theorem th, reading instantiations under signature sg*) 

375 
fun read_instantiate_sg sg sinsts th = 

376 
let val ts = types_sorts th; 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

377 
in instantiate (read_insts sg ts ts sinsts) th end; 
0  378 

379 
(*Instantiate theorem th, reading instantiations under theory of th*) 

380 
fun read_instantiate sinsts th = 

381 
read_instantiate_sg (#sign (rep_thm th)) sinsts th; 

382 

383 

384 
(*Lefttoright replacements: tpairs = [...,(vi,ti),...]. 

385 
Instantiates distinct Vars by terms, inferring type instantiations. *) 

386 
local 

387 
fun add_types ((ct,cu), (sign,tye)) = 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

388 
let val {sign=signt, t=t, T= T, ...} = rep_cterm ct 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

389 
and {sign=signu, t=u, T= U, ...} = rep_cterm cu 
0  390 
val sign' = Sign.merge(sign, Sign.merge(signt, signu)) 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

391 
val tye' = Type.unify (#tsig(Sign.rep_sg sign')) ((T,U), tye) 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

392 
handle Type.TUNIFY => raise TYPE("add_types", [T,U], [t,u]) 
0  393 
in (sign', tye') end; 
394 
in 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

395 
fun cterm_instantiate ctpairs0 th = 
0  396 
let val (sign,tye) = foldr add_types (ctpairs0, (#sign(rep_thm th),[])) 
397 
val tsig = #tsig(Sign.rep_sg sign); 

398 
fun instT(ct,cu) = let val inst = subst_TVars tye 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

399 
in (cterm_fun inst ct, cterm_fun inst cu) end 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

400 
fun ctyp2 (ix,T) = (ix, ctyp_of sign T) 
0  401 
in instantiate (map ctyp2 tye, map instT ctpairs0) th end 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

402 
handle TERM _ => 
0  403 
raise THM("cterm_instantiate: incompatible signatures",0,[th]) 
404 
 TYPE _ => raise THM("cterm_instantiate: types", 0, [th]) 

405 
end; 

406 

407 

408 
(** theorem equality test is exported and used by BEST_FIRST **) 

409 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

410 
(*equality of theorems uses equality of signatures and 
0  411 
the aconvertible test for terms*) 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

412 
fun eq_thm (th1,th2) = 
0  413 
let val {sign=sg1, hyps=hyps1, prop=prop1, ...} = rep_thm th1 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

414 
and {sign=sg2, hyps=hyps2, prop=prop2, ...} = rep_thm th2 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

415 
in Sign.eq_sg (sg1,sg2) andalso 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

416 
aconvs(hyps1,hyps2) andalso 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

417 
prop1 aconv prop2 
0  418 
end; 
419 

420 
(*Do the two theorems have the same signature?*) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

421 
fun eq_thm_sg (th1,th2) = Sign.eq_sg(#sign(rep_thm th1), #sign(rep_thm th2)); 
0  422 

423 
(*Useful "distance" function for BEST_FIRST*) 

424 
val size_of_thm = size_of_term o #prop o rep_thm; 

425 

426 

427 
(*** MetaRewriting Rules ***) 

428 

429 

430 
val reflexive_thm = 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

431 
let val cx = cterm_of Sign.pure (Var(("x",0),TVar(("'a",0),["logic"]))) 
0  432 
in Thm.reflexive cx end; 
433 

434 
val symmetric_thm = 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

435 
let val xy = read_cterm Sign.pure ("x::'a::logic == y",propT) 
0  436 
in standard(Thm.implies_intr_hyps(Thm.symmetric(Thm.assume xy))) end; 
437 

438 
val transitive_thm = 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

439 
let val xy = read_cterm Sign.pure ("x::'a::logic == y",propT) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

440 
val yz = read_cterm Sign.pure ("y::'a::logic == z",propT) 
0  441 
val xythm = Thm.assume xy and yzthm = Thm.assume yz 
442 
in standard(Thm.implies_intr yz (Thm.transitive xythm yzthm)) end; 

443 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

444 
(** Below, a "conversion" has type cterm > thm **) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

445 

4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

446 
val refl_cimplies = reflexive (cterm_of Sign.pure implies); 
0  447 

448 
(*In [A1,...,An]==>B, rewrite the selected A's only  for rewrite_goals_tac*) 

214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

449 
(*Do not rewrite flexflex pairs*) 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

450 
fun goals_conv pred cv = 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

451 
let fun gconv i ct = 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

452 
let val (A,B) = Thm.dest_cimplies ct 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

453 
val (thA,j) = case term_of A of 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

454 
Const("=?=",_)$_$_ => (reflexive A, i) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

455 
 _ => (if pred i then cv A else reflexive A, i+1) 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

456 
in combination (combination refl_cimplies thA) (gconv j B) end 
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

457 
handle TERM _ => reflexive ct 
0  458 
in gconv 1 end; 
459 

460 
(*Use a conversion to transform a theorem*) 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

461 
fun fconv_rule cv th = equal_elim (cv (cprop_of th)) th; 
0  462 

463 
(*rewriting conversion*) 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

464 
fun rew_conv mode prover mss = rewrite_cterm mode mss prover; 
0  465 

466 
(*Rewrite a theorem*) 

214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

467 
fun rewrite_rule thms = 
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

468 
fconv_rule (rew_conv (true,false) (K(K None)) (Thm.mss_of thms)); 
0  469 

470 
(*Rewrite the subgoals of a proof state (represented by a theorem) *) 

471 
fun rewrite_goals_rule thms = 

214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

472 
fconv_rule (goals_conv (K true) (rew_conv (true,false) (K(K None)) 
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

473 
(Thm.mss_of thms))); 
0  474 

475 
(*Rewrite the subgoal of a proof state (represented by a theorem) *) 

214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

476 
fun rewrite_goal_rule mode prover mss i thm = 
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

477 
if 0 < i andalso i <= nprems_of thm 
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

478 
then fconv_rule (goals_conv (fn j => j=i) (rew_conv mode prover mss)) thm 
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
211
diff
changeset

479 
else raise THM("rewrite_goal_rule",i,[thm]); 
0  480 

481 

482 
(** Derived rules mainly for METAHYPS **) 

483 

484 
(*Given the term "a", takes (%x.t)==(%x.u) to t[a/x]==u[a/x]*) 

485 
fun equal_abs_elim ca eqth = 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

486 
let val {sign=signa, t=a, ...} = rep_cterm ca 
0  487 
and combth = combination eqth (reflexive ca) 
488 
val {sign,prop,...} = rep_thm eqth 

489 
val (abst,absu) = Logic.dest_equals prop 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

490 
val cterm = cterm_of (Sign.merge (sign,signa)) 
0  491 
in transitive (symmetric (beta_conversion (cterm (abst$a)))) 
492 
(transitive combth (beta_conversion (cterm (absu$a)))) 

493 
end 

494 
handle THM _ => raise THM("equal_abs_elim", 0, [eqth]); 

495 

496 
(*Calling equal_abs_elim with multiple terms*) 

497 
fun equal_abs_elim_list cts th = foldr (uncurry equal_abs_elim) (rev cts, th); 

498 

499 
local 

500 
open Logic 

501 
val alpha = TVar(("'a",0), []) (* type ?'a::{} *) 

502 
fun err th = raise THM("flexpair_inst: ", 0, [th]) 

503 
fun flexpair_inst def th = 

504 
let val {prop = Const _ $ t $ u, sign,...} = rep_thm th 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

505 
val cterm = cterm_of sign 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

506 
fun cvar a = cterm(Var((a,0),alpha)) 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

507 
val def' = cterm_instantiate [(cvar"t", cterm t), (cvar"u", cterm u)] 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

508 
def 
0  509 
in equal_elim def' th 
510 
end 

511 
handle THM _ => err th  bind => err th 

512 
in 

513 
val flexpair_intr = flexpair_inst (symmetric flexpair_def) 

514 
and flexpair_elim = flexpair_inst flexpair_def 

515 
end; 

516 

517 
(*Version for flexflex pairs  this supports lifting.*) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

518 
fun flexpair_abs_elim_list cts = 
0  519 
flexpair_intr o equal_abs_elim_list cts o flexpair_elim; 
520 

521 

522 
(*** Some useful metatheorems ***) 

523 

524 
(*The rule V/V, obtains assumption solving for eresolve_tac*) 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

525 
val asm_rl = trivial(read_cterm Sign.pure ("PROP ?psi",propT)); 
0  526 

527 
(*Metalevel cut rule: [ V==>W; V ] ==> W *) 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

528 
val cut_rl = trivial(read_cterm Sign.pure 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

529 
("PROP ?psi ==> PROP ?theta", propT)); 
0  530 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

531 
(*Generalized elim rule for one conclusion; cut_rl with reversed premises: 
0  532 
[ PROP V; PROP V ==> PROP W ] ==> PROP W *) 
533 
val revcut_rl = 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

534 
let val V = read_cterm Sign.pure ("PROP V", propT) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

535 
and VW = read_cterm Sign.pure ("PROP V ==> PROP W", propT); 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

536 
in standard (implies_intr V 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

537 
(implies_intr VW 
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

538 
(implies_elim (assume VW) (assume V)))) 
0  539 
end; 
540 

541 
(* (!!x. PROP ?V) == PROP ?V Allows removal of redundant parameters*) 

542 
val triv_forall_equality = 

229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

543 
let val V = read_cterm Sign.pure ("PROP V", propT) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

544 
and QV = read_cterm Sign.pure ("!!x::'a. PROP V", propT) 
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
214
diff
changeset

545 
and x = read_cterm Sign.pure ("x", TFree("'a",["logic"])); 
0  546 
in standard (equal_intr (implies_intr QV (forall_elim x (assume QV))) 
252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

547 
(implies_intr V (forall_intr x (assume V)))) 
0  548 
end; 
549 

550 
end 

551 
end; 

252
7532f95d7f44
removed eq_sg, pprint_sg, print_sg (now in sign.ML);
wenzelm
parents:
229
diff
changeset

552 