author  berghofe 
Tue, 01 Jun 2010 11:13:09 +0200  
changeset 37233  b78f31ca4675 
parent 36945  9bec62c10714 
child 37236  739d8b9c59da 
permissions  rwrr 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

1 
(* Title: HOL/Tools/inductive_realizer.ML 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

2 
Author: Stefan Berghofer, TU Muenchen 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

3 

36043  4 
Program extraction from proofs involving inductive predicates: 
29265
5b4247055bd7
moved old add_term_vars, add_term_frees etc. to structure OldTerm;
wenzelm
parents:
28965
diff
changeset

5 
Realizers for induction and elimination rules. 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

6 
*) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

7 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

8 
signature INDUCTIVE_REALIZER = 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

9 
sig 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

10 
val add_ind_realizers: string > string list > theory > theory 
18708  11 
val setup: theory > theory 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

12 
end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

13 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

14 
structure InductiveRealizer : INDUCTIVE_REALIZER = 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

15 
struct 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

16 

33671  17 
(* FIXME: Local_Theory.note should return theorems with proper names! *) (* FIXME ?? *) 
22606
962f824c2df9
 Tried to make name_of_thm more robust against changes of the
berghofe
parents:
22596
diff
changeset

18 
fun name_of_thm thm = 
28800  19 
(case Proofterm.fold_proof_atoms false (fn PThm (_, ((name, _, _), _)) => cons name  _ => I) 
28814  20 
[Thm.proof_of thm] [] of 
28800  21 
[name] => name 
32091
30e2ffbba718
proper context for Display.pretty_thm etc. or oldstyle versions Display.pretty_thm_global, Display.pretty_thm_without_context etc.;
wenzelm
parents:
31986
diff
changeset

22 
 _ => error ("name_of_thm: bad proof of theorem\n" ^ Display.string_of_thm_without_context thm)); 
22271  23 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

24 
fun prf_of thm = 
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26535
diff
changeset

25 
let 
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26535
diff
changeset

26 
val thy = Thm.theory_of_thm thm; 
28814  27 
val thm' = Reconstruct.reconstruct_proof thy (Thm.prop_of thm) (Thm.proof_of thm); 
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
26535
diff
changeset

28 
in Reconstruct.expand_proof thy [("", NONE)] thm' end; (* FIXME *) 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

29 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

30 
fun subsets [] = [[]] 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

31 
 subsets (x::xs) = 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

32 
let val ys = subsets xs 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

33 
in ys @ map (cons x) ys end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

34 

22271  35 
val pred_of = fst o dest_Const o head_of; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

36 

22271  37 
fun strip_all' used names (Const ("all", _) $ Abs (s, T, t)) = 
38 
let val (s', names') = (case names of 

39 
[] => (Name.variant used s, []) 

40 
 name :: names' => (name, names')) 

41 
in strip_all' (s'::used) names' (subst_bound (Free (s', T), t)) end 

42 
 strip_all' used names ((t as Const ("==>", _) $ P) $ Q) = 

43 
t $ strip_all' used names Q 

44 
 strip_all' _ _ t = t; 

45 

29281  46 
fun strip_all t = strip_all' (Term.add_free_names t []) [] t; 
22271  47 

48 
fun strip_one name (Const ("all", _) $ Abs (s, T, Const ("==>", _) $ P $ Q)) = 

49 
(subst_bound (Free (name, T), P), subst_bound (Free (name, T), Q)) 

50 
 strip_one _ (Const ("==>", _) $ P $ Q) = (P, Q); 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

51 

37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

52 
fun relevant_vars prop = fold (fn ((a, i), T) => fn vs => 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

53 
(case strip_type T of 
36692
54b64d4ad524
farewell to oldstyle mem infixes  type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
36610
diff
changeset

54 
(_, Type (s, _)) => if s = @{type_name bool} then (a, T) :: vs else vs 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

55 
 _ => vs)) (Term.add_vars prop []) []; 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

56 

b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

57 
val attach_typeS = map_types (map_atyps 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

58 
(fn TFree (s, []) => TFree (s, HOLogic.typeS) 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

59 
 TVar (ixn, []) => TVar (ixn, HOLogic.typeS) 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

60 
 T => T)); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

61 

22271  62 
fun dt_of_intrs thy vs nparms intrs = 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

63 
let 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

64 
val iTs = rev (Term.add_tvars (prop_of (hd intrs)) []); 
22271  65 
val (Const (s, _), ts) = strip_comb (HOLogic.dest_Trueprop 
66 
(Logic.strip_imp_concl (prop_of (hd intrs)))); 

33957  67 
val params = map dest_Var (take nparms ts); 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

68 
val tname = Binding.name (space_implode "_" (Long_Name.base_name s ^ "T" :: vs)); 
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

69 
fun constr_of_intr intr = (Binding.name (Long_Name.base_name (name_of_thm intr)), 
35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35625
diff
changeset

70 
map (Logic.unvarifyT_global o snd) (subtract (op =) params (rev (Term.add_vars (prop_of intr) []))) @ 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

71 
filter_out (equal Extraction.nullT) (map 
35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35625
diff
changeset

72 
(Logic.unvarifyT_global o Extraction.etype_of thy vs []) (prems_of intr)), 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

73 
NoSyn); 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

74 
in (map (fn a => "'" ^ a) vs @ map (fst o fst) iTs, tname, NoSyn, 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

75 
map constr_of_intr intrs) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

76 
end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

77 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

78 
fun mk_rlz T = Const ("realizes", [T, HOLogic.boolT] > HOLogic.boolT); 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

79 

22271  80 
(** turn "P" into "%r x. realizes r (P x)" **) 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

81 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

82 
fun gen_rvar vs (t as Var ((a, 0), T)) = 
22271  83 
if body_type T <> HOLogic.boolT then t else 
84 
let 

37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

85 
val U = TVar (("'" ^ a, 0), []) 
22271  86 
val Ts = binder_types T; 
87 
val i = length Ts; 

88 
val xs = map (pair "x") Ts; 

89 
val u = list_comb (t, map Bound (i  1 downto 0)) 

90 
in 

36692
54b64d4ad524
farewell to oldstyle mem infixes  type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
36610
diff
changeset

91 
if member (op =) vs a then 
22271  92 
list_abs (("r", U) :: xs, mk_rlz U $ Bound i $ u) 
93 
else list_abs (xs, mk_rlz Extraction.nullT $ Extraction.nullt $ u) 

94 
end 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

95 
 gen_rvar _ t = t; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

96 

22271  97 
fun mk_realizes_eqn n vs nparms intrs = 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

98 
let 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

99 
val intr = map_types Type.strip_sorts (prop_of (hd intrs)); 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

100 
val concl = HOLogic.dest_Trueprop (Logic.strip_imp_concl intr); 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

101 
val iTs = rev (Term.add_tvars intr []); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

102 
val Tvs = map TVar iTs; 
22271  103 
val (h as Const (s, T), us) = strip_comb concl; 
104 
val params = List.take (us, nparms); 

105 
val elTs = List.drop (binder_types T, nparms); 

106 
val predT = elTs > HOLogic.boolT; 

107 
val used = map (fst o fst o dest_Var) params; 

108 
val xs = map (Var o apfst (rpair 0)) 

109 
(Name.variant_list used (replicate (length elTs) "x") ~~ elTs); 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

110 
val rT = if n then Extraction.nullT 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

111 
else Type (space_implode "_" (s ^ "T" :: vs), 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

112 
map (fn a => TVar (("'" ^ a, 0), [])) vs @ Tvs); 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

113 
val r = if n then Extraction.nullt else Var ((Long_Name.base_name s, 0), rT); 
22271  114 
val S = list_comb (h, params @ xs); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

115 
val rvs = relevant_vars S; 
33040  116 
val vs' = subtract (op =) vs (map fst rvs); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

117 
val rname = space_implode "_" (s ^ "R" :: vs); 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

118 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

119 
fun mk_Tprem n v = 
17485  120 
let val T = (the o AList.lookup (op =) rvs) v 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

121 
in (Const ("typeof", T > Type ("Type", [])) $ Var ((v, 0), T), 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

122 
Extraction.mk_typ (if n then Extraction.nullT 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

123 
else TVar (("'" ^ v, 0), []))) 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

124 
end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

125 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

126 
val prems = map (mk_Tprem true) vs' @ map (mk_Tprem false) vs; 
22271  127 
val ts = map (gen_rvar vs) params; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

128 
val argTs = map fastype_of ts; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

129 

22271  130 
in ((prems, (Const ("typeof", HOLogic.boolT > Type ("Type", [])) $ S, 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

131 
Extraction.mk_typ rT)), 
22271  132 
(prems, (mk_rlz rT $ r $ S, 
133 
if n then list_comb (Const (rname, argTs > predT), ts @ xs) 

134 
else list_comb (Const (rname, argTs @ [rT] > predT), ts @ [r] @ xs)))) 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

135 
end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

136 

22271  137 
fun fun_of_prem thy rsets vs params rule ivs intr = 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

138 
let 
36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
wenzelm
parents:
36043
diff
changeset

139 
val ctxt = ProofContext.init_global thy 
22271  140 
val args = map (Free o apfst fst o dest_Var) ivs; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

141 
val args' = map (Free o apfst fst) 
33040  142 
(subtract (op =) params (Term.add_vars (prop_of intr) [])); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

143 
val rule' = strip_all rule; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

144 
val conclT = Extraction.etype_of thy vs [] (Logic.strip_imp_concl rule'); 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

145 
val used = map (fst o dest_Free) args; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

146 

29271
1d685baea08e
moved old add_type_XXX, add_term_XXX etc. to structure OldTerm;
wenzelm
parents:
29265
diff
changeset

147 
val is_rec = exists_Const (fn (c, _) => member (op =) rsets c); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

148 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

149 
fun is_meta (Const ("all", _) $ Abs (s, _, P)) = is_meta P 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

150 
 is_meta (Const ("==>", _) $ _ $ Q) = is_meta Q 
35364  151 
 is_meta (Const (@{const_name Trueprop}, _) $ t) = 
152 
(case head_of t of 

153 
Const (s, _) => can (Inductive.the_inductive ctxt) s 

154 
 _ => true) 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

155 
 is_meta _ = false; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

156 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

157 
fun fun_of ts rts args used (prem :: prems) = 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

158 
let 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

159 
val T = Extraction.etype_of thy vs [] prem; 
20071
8f3e1ddb50e6
replaced Term.variant(list) by Name.variant(_list);
wenzelm
parents:
19806
diff
changeset

160 
val [x, r] = Name.variant_list used ["x", "r"] 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

161 
in if T = Extraction.nullT 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

162 
then fun_of ts rts args used prems 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

163 
else if is_rec prem then 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

164 
if is_meta prem then 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

165 
let 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

166 
val prem' :: prems' = prems; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

167 
val U = Extraction.etype_of thy vs [] prem'; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

168 
in if U = Extraction.nullT 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

169 
then fun_of (Free (x, T) :: ts) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

170 
(Free (r, binder_types T > HOLogic.unitT) :: rts) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

171 
(Free (x, T) :: args) (x :: r :: used) prems' 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

172 
else fun_of (Free (x, T) :: ts) (Free (r, U) :: rts) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

173 
(Free (r, U) :: Free (x, T) :: args) (x :: r :: used) prems' 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

174 
end 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

175 
else (case strip_type T of 
35364  176 
(Ts, Type (@{type_name "*"}, [T1, T2])) => 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

177 
let 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

178 
val fx = Free (x, Ts > T1); 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

179 
val fr = Free (r, Ts > T2); 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

180 
val bs = map Bound (length Ts  1 downto 0); 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

181 
val t = list_abs (map (pair "z") Ts, 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

182 
HOLogic.mk_prod (list_comb (fx, bs), list_comb (fr, bs))) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

183 
in fun_of (fx :: ts) (fr :: rts) (t::args) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

184 
(x :: r :: used) prems 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

185 
end 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

186 
 (Ts, U) => fun_of (Free (x, T) :: ts) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

187 
(Free (r, binder_types T > HOLogic.unitT) :: rts) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

188 
(Free (x, T) :: args) (x :: r :: used) prems) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

189 
else fun_of (Free (x, T) :: ts) rts (Free (x, T) :: args) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

190 
(x :: used) prems 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

191 
end 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

192 
 fun_of ts rts args used [] = 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

193 
let val xs = rev (rts @ ts) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

194 
in if conclT = Extraction.nullT 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

195 
then list_abs_free (map dest_Free xs, HOLogic.unit) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

196 
else list_abs_free (map dest_Free xs, list_comb 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

197 
(Free ("r" ^ Long_Name.base_name (name_of_thm intr), 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

198 
map fastype_of (rev args) > conclT), rev args)) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

199 
end 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

200 

13921
69c627b6b28d
Fixed problem in add_elim_realizer which caused bound variables to
berghofe
parents:
13725
diff
changeset

201 
in fun_of args' [] (rev args) used (Logic.strip_imp_prems rule') end; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

202 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

203 
fun indrule_realizer thy induct raw_induct rsets params vs rec_names rss intrs dummies = 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

204 
let 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

205 
val concls = HOLogic.dest_conj (HOLogic.dest_Trueprop (concl_of raw_induct)); 
31986  206 
val premss = map_filter (fn (s, rs) => if member (op =) rsets s then 
207 
SOME (rs, map (fn (_, r) => nth (prems_of raw_induct) 

208 
(find_index (fn prp => prp = prop_of r) (map prop_of intrs))) rs) else NONE) rss; 

22271  209 
val fs = maps (fn ((intrs, prems), dummy) => 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

210 
let 
22271  211 
val fs = map (fn (rule, (ivs, intr)) => 
212 
fun_of_prem thy rsets vs params rule ivs intr) (prems ~~ intrs) 

35364  213 
in 
214 
if dummy then Const (@{const_name default}, 

215 
HOLogic.unitT > body_type (fastype_of (hd fs))) :: fs 

22271  216 
else fs 
217 
end) (premss ~~ dummies); 

16861  218 
val frees = fold Term.add_frees fs []; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

219 
val Ts = map fastype_of fs; 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

220 
fun name_of_fn intr = "r" ^ Long_Name.base_name (name_of_thm intr) 
22271  221 
in 
222 
fst (fold_map (fn concl => fn names => 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

223 
let val T = Extraction.etype_of thy vs [] concl 
22271  224 
in if T = Extraction.nullT then (Extraction.nullt, names) else 
225 
let 

226 
val Type ("fun", [U, _]) = T; 

227 
val a :: names' = names 

32952  228 
in (list_abs_free (("x", U) :: map_filter (fn intr => 
22271  229 
Option.map (pair (name_of_fn intr)) 
230 
(AList.lookup (op =) frees (name_of_fn intr))) intrs, 

231 
list_comb (Const (a, Ts > T), fs) $ Free ("x", U)), names') 

232 
end 

233 
end) concls rec_names) 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

234 
end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

235 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

236 
fun add_dummy name dname (x as (_, (vs, s, mfx, cs))) = 
30345  237 
if Binding.eq_name (name, s) then (true, (vs, s, mfx, (dname, [HOLogic.unitT], NoSyn) :: cs)) 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

238 
else x; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

239 

18314  240 
fun add_dummies f [] _ thy = 
241 
(([], NONE), thy) 

242 
 add_dummies f dts used thy = 

243 
thy 

244 
> f (map snd dts) 

30345  245 
> (fn dtinfo => pair (map fst dts, SOME dtinfo)) 
33968
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33957
diff
changeset

246 
handle Datatype_Aux.Datatype_Empty name' => 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

247 
let 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

248 
val name = Long_Name.base_name name'; 
30345  249 
val dname = Name.variant used "Dummy"; 
18314  250 
in 
251 
thy 

30345  252 
> add_dummies f (map (add_dummy (Binding.name name) (Binding.name dname)) dts) (dname :: used) 
14888
99ac3eb0f84e
add_dummies no longer uses transform_error but handles specific
berghofe
parents:
13928
diff
changeset

253 
end; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

254 

22271  255 
fun mk_realizer thy vs (name, rule, rrule, rlz, rt) = 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

256 
let 
13725
12404b452034
Changed format of realizers / correctness proofs.
berghofe
parents:
13710
diff
changeset

257 
val rvs = map fst (relevant_vars (prop_of rule)); 
16861  258 
val xs = rev (Term.add_vars (prop_of rule) []); 
36692
54b64d4ad524
farewell to oldstyle mem infixes  type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
36610
diff
changeset

259 
val vs1 = map Var (filter_out (fn ((a, _), _) => member (op =) rvs a) xs); 
16861  260 
val rlzvs = rev (Term.add_vars (prop_of rrule) []); 
17485  261 
val vs2 = map (fn (ixn, _) => Var (ixn, (the o AList.lookup (op =) rlzvs) ixn)) xs; 
22271  262 
val rs = map Var (subtract (op = o pairself fst) xs rlzvs); 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

263 
val rlz' = fold_rev Logic.all rs (prop_of rrule) 
22271  264 
in (name, (vs, 
33338  265 
if rt = Extraction.nullt then rt else fold_rev lambda vs1 rt, 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

266 
Extraction.abs_corr_shyps thy rule vs vs2 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

267 
(ProofRewriteRules.un_hhf_proof rlz' (attach_typeS rlz) 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

268 
(fold_rev Proofterm.forall_intr_proof' rs (prf_of rrule))))) 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

269 
end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

270 

24157
409cd6eaa7ea
Added renaming function to prevent correctness proof for realizer
berghofe
parents:
23590
diff
changeset

271 
fun rename tab = map (fn x => the_default x (AList.lookup op = tab x)); 
409cd6eaa7ea
Added renaming function to prevent correctness proof for realizer
berghofe
parents:
23590
diff
changeset

272 

33244  273 
fun add_ind_realizer rsets intrs induct raw_induct elims vs thy = 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

274 
let 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

275 
val qualifier = Long_Name.qualifier (name_of_thm induct); 
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

276 
val inducts = PureThy.get_thms thy (Long_Name.qualify qualifier "inducts"); 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

277 
val iTs = rev (Term.add_tvars (prop_of (hd intrs)) []); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

278 
val ar = length vs + length iTs; 
31723
f5cafe803b55
discontinued ancient tradition to suffix certain ML module names with "_package"
haftmann
parents:
31668
diff
changeset

279 
val params = Inductive.params_of raw_induct; 
f5cafe803b55
discontinued ancient tradition to suffix certain ML module names with "_package"
haftmann
parents:
31668
diff
changeset

280 
val arities = Inductive.arities_of raw_induct; 
22271  281 
val nparms = length params; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

282 
val params' = map dest_Var params; 
31723
f5cafe803b55
discontinued ancient tradition to suffix certain ML module names with "_package"
haftmann
parents:
31668
diff
changeset

283 
val rss = Inductive.partition_rules raw_induct intrs; 
22271  284 
val rss' = map (fn (((s, rs), (_, arity)), elim) => 
31723
f5cafe803b55
discontinued ancient tradition to suffix certain ML module names with "_package"
haftmann
parents:
31668
diff
changeset

285 
(s, (Inductive.infer_intro_vars elim arity rs ~~ rs))) 
22790
e1cff9268177
Moved functions infer_intro_vars, arities_of, params_of, and
berghofe
parents:
22606
diff
changeset

286 
(rss ~~ arities ~~ elims); 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

287 
val (prfx, _) = split_last (Long_Name.explode (fst (hd rss))); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

288 
val tnames = map (fn s => space_implode "_" (s ^ "T" :: vs)) rsets; 
16123  289 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

290 
val thy1 = thy > 
24712
64ed05609568
proper Sign operations instead of Theory aliases;
wenzelm
parents:
24157
diff
changeset

291 
Sign.root_path > 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

292 
Sign.add_path (Long_Name.implode prfx); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

293 
val (ty_eqs, rlz_eqs) = split_list 
36692
54b64d4ad524
farewell to oldstyle mem infixes  type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
36610
diff
changeset

294 
(map (fn (s, rs) => mk_realizes_eqn (not (member (op =) rsets s)) vs nparms rs) rss); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

295 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

296 
val thy1' = thy1 > 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

297 
Theory.copy > 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

298 
Sign.add_types (map (fn s => (Binding.name (Long_Name.base_name s), ar, NoSyn)) tnames) > 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

299 
Extraction.add_typeof_eqns_i ty_eqs; 
36692
54b64d4ad524
farewell to oldstyle mem infixes  type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
36610
diff
changeset

300 
val dts = map_filter (fn (s, rs) => if member (op =) rsets s then 
22271  301 
SOME (dt_of_intrs thy1' vs nparms rs) else NONE) rss; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

302 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

303 
(** datatype representing computational content of inductive set **) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

304 

31783
cfbe9609ceb1
add_datatypes does not yield particular rules any longer
haftmann
parents:
31781
diff
changeset

305 
val ((dummies, some_dt_names), thy2) = 
18008  306 
thy1 
31723
f5cafe803b55
discontinued ancient tradition to suffix certain ML module names with "_package"
haftmann
parents:
31668
diff
changeset

307 
> add_dummies (Datatype.add_datatype 
32125  308 
{ strict = false, quiet = false } (map (Binding.name_of o #2) dts)) 
18314  309 
(map (pair false) dts) [] 
310 
> Extraction.add_typeof_eqns_i ty_eqs 

311 
> Extraction.add_realizes_eqns_i rlz_eqs; 

31783
cfbe9609ceb1
add_datatypes does not yield particular rules any longer
haftmann
parents:
31781
diff
changeset

312 
val dt_names = these some_dt_names; 
31784  313 
val case_thms = map (#case_rewrites o Datatype.the_info thy2) dt_names; 
31783
cfbe9609ceb1
add_datatypes does not yield particular rules any longer
haftmann
parents:
31781
diff
changeset

314 
val rec_thms = if null dt_names then [] 
31784  315 
else (#rec_rewrites o Datatype.the_info thy2) (hd dt_names); 
19046
bc5c6c9b114e
removed distinct, renamed gen_distinct to distinct;
wenzelm
parents:
18929
diff
changeset

316 
val rec_names = distinct (op =) (map (fst o dest_Const o head_of o fst o 
31781
861e675f01e6
add_datatype interface yields type names and less rules
haftmann
parents:
31723
diff
changeset

317 
HOLogic.dest_eq o HOLogic.dest_Trueprop o prop_of) rec_thms); 
31458  318 
val (constrss, _) = fold_map (fn (s, rs) => fn (recs, dummies) => 
319 
if member (op =) rsets s then 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

320 
let 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

321 
val (d :: dummies') = dummies; 
19473  322 
val (recs1, recs2) = chop (length rs) (if d then tl recs else recs) 
31458  323 
in (map (head_of o hd o rev o snd o strip_comb o fst o 
324 
HOLogic.dest_eq o HOLogic.dest_Trueprop o prop_of) recs1, (recs2, dummies')) 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

325 
end 
31458  326 
else (replicate (length rs) Extraction.nullt, (recs, dummies))) 
31781
861e675f01e6
add_datatype interface yields type names and less rules
haftmann
parents:
31723
diff
changeset

327 
rss (rec_thms, dummies); 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

328 
val rintrs = map (fn (intr, c) => attach_typeS (Envir.eta_contract 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

329 
(Extraction.realizes_of thy2 vs 
22271  330 
(if c = Extraction.nullt then c else list_comb (c, map Var (rev 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

331 
(subtract (op =) params' (Term.add_vars (prop_of intr) []))))) (prop_of intr)))) 
32952  332 
(maps snd rss ~~ flat constrss); 
30345  333 
val (rlzpreds, rlzpreds') = 
334 
rintrs > map (fn rintr => 

22271  335 
let 
30345  336 
val Const (s, T) = head_of (HOLogic.dest_Trueprop (Logic.strip_assums_concl rintr)); 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

337 
val s' = Long_Name.base_name s; 
35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35625
diff
changeset

338 
val T' = Logic.unvarifyT_global T; 
30345  339 
in (((s', T'), NoSyn), (Const (s, T'), Free (s', T'))) end) 
340 
> distinct (op = o pairself (#1 o #1)) 

341 
> map (apfst (apfst (apfst Binding.name))) 

342 
> split_list; 

343 

35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35625
diff
changeset

344 
val rlzparams = map (fn Var ((s, _), T) => (s, Logic.unvarifyT_global T)) 
22271  345 
(List.take (snd (strip_comb 
346 
(HOLogic.dest_Trueprop (Logic.strip_assums_concl (hd rintrs)))), nparms)); 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

347 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

348 
(** realizability predicate **) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

349 

22271  350 
val (ind_info, thy3') = thy2 > 
33726
0878aecbf119
eliminated slightly odd name space grouping  now managed by Isar toplevel;
wenzelm
parents:
33671
diff
changeset

351 
Inductive.add_inductive_global 
33669  352 
{quiet_mode = false, verbose = false, alt_name = Binding.empty, coind = false, 
353 
no_elim = false, no_ind = false, skip_mono = false, fork_mono = false} 

22271  354 
rlzpreds rlzparams (map (fn (rintr, intr) => 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

355 
((Binding.name (Long_Name.base_name (name_of_thm intr)), []), 
35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35625
diff
changeset

356 
subst_atomic rlzpreds' (Logic.unvarify_global rintr))) 
22271  357 
(rintrs ~~ maps snd rss)) [] > 
30435
e62d6ecab6ad
explicit Binding.qualified_name  prevents implicitly qualified bstring;
wenzelm
parents:
30364
diff
changeset

358 
Sign.root_path; 
26663  359 
val thy3 = fold (PureThy.hide_fact false o name_of_thm) (#intrs ind_info) thy3'; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

360 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

361 
(** realizer for induction rule **) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

362 

36692
54b64d4ad524
farewell to oldstyle mem infixes  type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
36610
diff
changeset

363 
val Ps = map_filter (fn _ $ M $ P => if member (op =) rsets (pred_of M) then 
15531  364 
SOME (fst (fst (dest_Var (head_of P)))) else NONE) 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

365 
(HOLogic.dest_conj (HOLogic.dest_Trueprop (concl_of raw_induct))); 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

366 

33244  367 
fun add_ind_realizer Ps thy = 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

368 
let 
24157
409cd6eaa7ea
Added renaming function to prevent correctness proof for realizer
berghofe
parents:
23590
diff
changeset

369 
val vs' = rename (map (pairself (fst o fst o dest_Var)) 
409cd6eaa7ea
Added renaming function to prevent correctness proof for realizer
berghofe
parents:
23590
diff
changeset

370 
(params ~~ List.take (snd (strip_comb (HOLogic.dest_Trueprop 
409cd6eaa7ea
Added renaming function to prevent correctness proof for realizer
berghofe
parents:
23590
diff
changeset

371 
(hd (prems_of (hd inducts))))), nparms))) vs; 
22271  372 
val rs = indrule_realizer thy induct raw_induct rsets params' 
24157
409cd6eaa7ea
Added renaming function to prevent correctness proof for realizer
berghofe
parents:
23590
diff
changeset

373 
(vs' @ Ps) rec_names rss' intrs dummies; 
409cd6eaa7ea
Added renaming function to prevent correctness proof for realizer
berghofe
parents:
23590
diff
changeset

374 
val rlzs = map (fn (r, ind) => Extraction.realizes_of thy (vs' @ Ps) r 
22271  375 
(prop_of ind)) (rs ~~ inducts); 
29281  376 
val used = fold Term.add_free_names rlzs []; 
22271  377 
val rnames = Name.variant_list used (replicate (length inducts) "r"); 
378 
val rnames' = Name.variant_list 

379 
(used @ rnames) (replicate (length intrs) "s"); 

380 
val rlzs' as (prems, _, _) :: _ = map (fn (rlz, name) => 

381 
let 

35845
e5980f0ad025
renamed varify/unvarify operations to varify_global/unvarify_global to emphasize that these only work in a global situation;
wenzelm
parents:
35625
diff
changeset

382 
val (P, Q) = strip_one name (Logic.unvarify_global rlz); 
22271  383 
val Q' = strip_all' [] rnames' Q 
384 
in 

385 
(Logic.strip_imp_prems Q', P, Logic.strip_imp_concl Q') 

386 
end) (rlzs ~~ rnames); 

387 
val concl = HOLogic.mk_Trueprop (foldr1 HOLogic.mk_conj (map 

388 
(fn (_, _ $ P, _ $ Q) => HOLogic.mk_imp (P, Q)) rlzs')); 

31781
861e675f01e6
add_datatype interface yields type names and less rules
haftmann
parents:
31723
diff
changeset

389 
val rews = map mk_meta_eq (fst_conv :: snd_conv :: rec_thms); 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

390 
val thm = Goal.prove_global thy [] 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

391 
(map attach_typeS prems) (attach_typeS concl) 
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

392 
(fn {prems, ...} => EVERY 
22271  393 
[rtac (#raw_induct ind_info) 1, 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

394 
rewrite_goals_tac rews, 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

395 
REPEAT ((resolve_tac prems THEN_ALL_NEW EVERY' 
35625  396 
[K (rewrite_goals_tac rews), Object_Logic.atomize_prems_tac, 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

397 
DEPTH_SOLVE_1 o FIRST' [atac, etac allE, etac impE]]) 1)]); 
30435
e62d6ecab6ad
explicit Binding.qualified_name  prevents implicitly qualified bstring;
wenzelm
parents:
30364
diff
changeset

398 
val (thm', thy') = PureThy.store_thm (Binding.qualified_name (space_implode "_" 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

399 
(Long_Name.qualify qualifier "induct" :: vs' @ Ps @ ["correctness"])), thm) thy; 
22271  400 
val thms = map (fn th => zero_var_indexes (rotate_prems ~1 (th RS mp))) 
33968
f94fb13ecbb3
modernized structures and tuned headers of datatype package modules; joined former datatype.ML and datatype_rep_proofs.ML
haftmann
parents:
33957
diff
changeset

401 
(Datatype_Aux.split_conj_thm thm'); 
22271  402 
val ([thms'], thy'') = PureThy.add_thmss 
30435
e62d6ecab6ad
explicit Binding.qualified_name  prevents implicitly qualified bstring;
wenzelm
parents:
30364
diff
changeset

403 
[((Binding.qualified_name (space_implode "_" 
30364
577edc39b501
moved basic algebra of long names from structure NameSpace to Long_Name;
wenzelm
parents:
30345
diff
changeset

404 
(Long_Name.qualify qualifier "inducts" :: vs' @ Ps @ 
29579  405 
["correctness"])), thms), [])] thy'; 
22271  406 
val realizers = inducts ~~ thms' ~~ rlzs ~~ rs; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

407 
in 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

408 
Extraction.add_realizers_i 
22271  409 
(map (fn (((ind, corr), rlz), r) => 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

410 
mk_realizer thy'' (vs' @ Ps) (Thm.derivation_name ind, ind, corr, rlz, r)) 
22271  411 
realizers @ (case realizers of 
412 
[(((ind, corr), rlz), r)] => 

37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

413 
[mk_realizer thy'' (vs' @ Ps) (Long_Name.qualify qualifier "induct", 
22271  414 
ind, corr, rlz, r)] 
415 
 _ => [])) thy'' 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

416 
end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

417 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

418 
(** realizer for elimination rules **) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

419 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

420 
val case_names = map (fst o dest_Const o head_of o fst o HOLogic.dest_eq o 
31781
861e675f01e6
add_datatype interface yields type names and less rules
haftmann
parents:
31723
diff
changeset

421 
HOLogic.dest_Trueprop o prop_of o hd) case_thms; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

422 

13921
69c627b6b28d
Fixed problem in add_elim_realizer which caused bound variables to
berghofe
parents:
13725
diff
changeset

423 
fun add_elim_realizer Ps 
69c627b6b28d
Fixed problem in add_elim_realizer which caused bound variables to
berghofe
parents:
13725
diff
changeset

424 
(((((elim, elimR), intrs), case_thms), case_name), dummy) thy = 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

425 
let 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

426 
val (prem :: prems) = prems_of elim; 
22271  427 
fun reorder1 (p, (_, intr)) = 
33244  428 
fold (fn ((s, _), T) => Logic.all (Free (s, T))) 
429 
(subtract (op =) params' (Term.add_vars (prop_of intr) [])) 

430 
(strip_all p); 

22271  431 
fun reorder2 ((ivs, intr), i) = 
33040  432 
let val fs = subtract (op =) params' (Term.add_vars (prop_of intr) []) 
33244  433 
in fold (lambda o Var) fs (list_comb (Bound (i + length ivs), ivs)) end; 
13921
69c627b6b28d
Fixed problem in add_elim_realizer which caused bound variables to
berghofe
parents:
13725
diff
changeset

434 
val p = Logic.list_implies 
69c627b6b28d
Fixed problem in add_elim_realizer which caused bound variables to
berghofe
parents:
13725
diff
changeset

435 
(map reorder1 (prems ~~ intrs) @ [prem], concl_of elim); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

436 
val T' = Extraction.etype_of thy (vs @ Ps) [] p; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

437 
val T = if dummy then (HOLogic.unitT > body_type T') > T' else T'; 
13921
69c627b6b28d
Fixed problem in add_elim_realizer which caused bound variables to
berghofe
parents:
13725
diff
changeset

438 
val Ts = map (Extraction.etype_of thy (vs @ Ps) []) (prems_of elim); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

439 
val r = if null Ps then Extraction.nullt 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

440 
else list_abs (map (pair "x") Ts, list_comb (Const (case_name, T), 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

441 
(if dummy then 
35364  442 
[Abs ("x", HOLogic.unitT, Const (@{const_name default}, body_type T))] 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

443 
else []) @ 
13921
69c627b6b28d
Fixed problem in add_elim_realizer which caused bound variables to
berghofe
parents:
13725
diff
changeset

444 
map reorder2 (intrs ~~ (length prems  1 downto 0)) @ 
69c627b6b28d
Fixed problem in add_elim_realizer which caused bound variables to
berghofe
parents:
13725
diff
changeset

445 
[Bound (length prems)])); 
22271  446 
val rlz = Extraction.realizes_of thy (vs @ Ps) r (prop_of elim); 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

447 
val rlz' = attach_typeS (strip_all (Logic.unvarify_global rlz)); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

448 
val rews = map mk_meta_eq case_thms; 
22271  449 
val thm = Goal.prove_global thy [] 
26711  450 
(Logic.strip_imp_prems rlz') (Logic.strip_imp_concl rlz') (fn {prems, ...} => EVERY 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

451 
[cut_facts_tac [hd prems] 1, 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

452 
etac elimR 1, 
22271  453 
ALLGOALS (asm_simp_tac HOL_basic_ss), 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

454 
rewrite_goals_tac rews, 
35625  455 
REPEAT ((resolve_tac prems THEN_ALL_NEW (Object_Logic.atomize_prems_tac THEN' 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

456 
DEPTH_SOLVE_1 o FIRST' [atac, etac allE, etac impE])) 1)]); 
30435
e62d6ecab6ad
explicit Binding.qualified_name  prevents implicitly qualified bstring;
wenzelm
parents:
30364
diff
changeset

457 
val (thm', thy') = PureThy.store_thm (Binding.qualified_name (space_implode "_" 
29579  458 
(name_of_thm elim :: vs @ Ps @ ["correctness"])), thm) thy 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

459 
in 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

460 
Extraction.add_realizers_i 
22271  461 
[mk_realizer thy' (vs @ Ps) (name_of_thm elim, elim, thm', rlz, r)] thy' 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

462 
end; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

463 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

464 
(** add realizers to theory **) 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

465 

33244  466 
val thy4 = fold add_ind_realizer (subsets Ps) thy3; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

467 
val thy5 = Extraction.add_realizers_i 
22271  468 
(map (mk_realizer thy4 vs) (map (fn (((rule, rrule), rlz), c) => 
469 
(name_of_thm rule, rule, rrule, rlz, 

33040  470 
list_comb (c, map Var (subtract (op =) params' (rev (Term.add_vars (prop_of rule) [])))))) 
32952  471 
(maps snd rss ~~ #intrs ind_info ~~ rintrs ~~ flat constrss))) thy4; 
472 
val elimps = map_filter (fn ((s, intrs), p) => 

36692
54b64d4ad524
farewell to oldstyle mem infixes  type inference in situations with mem_int and mem_string should provide enough information to resolve the type of (op =)
haftmann
parents:
36610
diff
changeset

473 
if member (op =) rsets s then SOME (p, intrs) else NONE) 
22271  474 
(rss' ~~ (elims ~~ #elims ind_info)); 
33244  475 
val thy6 = 
476 
fold (fn p as (((((elim, _), _), _), _), _) => 

477 
add_elim_realizer [] p #> 

478 
add_elim_realizer [fst (fst (dest_Var (HOLogic.dest_Trueprop (concl_of elim))))] p) 

479 
(elimps ~~ case_thms ~~ case_names ~~ dummies) thy5; 

13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

480 

24712
64ed05609568
proper Sign operations instead of Theory aliases;
wenzelm
parents:
24157
diff
changeset

481 
in Sign.restore_naming thy thy6 end; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

482 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

483 
fun add_ind_realizers name rsets thy = 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

484 
let 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

485 
val (_, {intrs, induct, raw_induct, elims, ...}) = 
36610
bafd82950e24
renamed ProofContext.init to ProofContext.init_global to emphasize that this is not the real thing;
wenzelm
parents:
36043
diff
changeset

486 
Inductive.the_inductive (ProofContext.init_global thy) name; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

487 
val vss = sort (int_ord o pairself length) 
22271  488 
(subsets (map fst (relevant_vars (concl_of (hd intrs))))) 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

489 
in 
37233
b78f31ca4675
Adapted to new format of proof terms containing explicit proofs of class membership.
berghofe
parents:
36945
diff
changeset

490 
fold_rev (add_ind_realizer rsets intrs induct raw_induct elims) vss thy 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

491 
end 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

492 

20897  493 
fun rlz_attrib arg = Thm.declaration_attribute (fn thm => Context.mapping 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

494 
let 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

495 
fun err () = error "ind_realizer: bad rule"; 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

496 
val sets = 
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

497 
(case HOLogic.dest_conj (HOLogic.dest_Trueprop (concl_of thm)) of 
22271  498 
[_] => [pred_of (HOLogic.dest_Trueprop (hd (prems_of thm)))] 
499 
 xs => map (pred_of o fst o HOLogic.dest_imp) xs) 

15570  500 
handle TERM _ => err ()  Empty => err (); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

501 
in 
18728  502 
add_ind_realizers (hd sets) 
503 
(case arg of 

15531  504 
NONE => sets  SOME NONE => [] 
33040  505 
 SOME (SOME sets') => subtract (op =) sets' sets) 
20897  506 
end I); 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

507 

18708  508 
val setup = 
30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30528
diff
changeset

509 
Attrib.setup @{binding ind_realizer} 
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30528
diff
changeset

510 
((Scan.option (Scan.lift (Args.$$$ "irrelevant")  
35402  511 
Scan.option (Scan.lift (Args.colon)  Scan.repeat1 (Args.const true)))) >> rlz_attrib) 
30722
623d4831c8cf
simplified attribute and method setup: eliminating bottomup styles makes it easier to keep things in one place, and also SML/NJ happy;
wenzelm
parents:
30528
diff
changeset

512 
"add realizers for inductive set"; 
13710
75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

513 

75bec2c1bfd5
New package for constructing realizers for introduction and elimination
berghofe
parents:
diff
changeset

514 
end; 
15706  515 