author  lcp 
Tue, 21 Jun 1994 17:20:34 +0200  
changeset 435  ca5356bd315a 
parent 423  a42892e72854 
child 449  75ac32497f09 
permissions  rwrr 
404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

1 
(* Title: Pure/axclass.ML 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

2 
ID: $Id$ 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

3 
Author: Markus Wenzel, TU Muenchen 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

4 

423  5 
Higher level user interfaces for axiomatic type classes. 
404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

6 
*) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

7 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

8 
signature AX_CLASS = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

9 
sig 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

10 
structure Tactical: TACTICAL 
423  11 
local open Tactical Tactical.Thm Tactical.Thm.Sign.Syntax.Mixfix in 
12 
val add_thms_as_axms: (string * thm) list > theory > theory 

13 
val add_classrel_thms: thm list > theory > theory 

14 
val add_arity_thms: thm list > theory > theory 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

15 
val add_axclass: class * class list > (string * string) list 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

16 
> theory > theory 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

17 
val add_axclass_i: class * class list > (string * term) list 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

18 
> theory > theory 
423  19 
val add_sigclass: class * class list > (string * string * mixfix) list 
20 
> theory > theory 

21 
val add_sigclass_i: class * class list > (string * typ * mixfix) list 

22 
> theory > theory 

23 
val axclass_tac: theory > thm list > tactic 

24 
val prove_classrel: theory > class * class > thm list 

25 
> tactic option > thm 

26 
val prove_arity: theory > string * sort list * class > thm list 

27 
> tactic option > thm 

28 
val add_subclass: class * class > string list > thm list 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

29 
> tactic option > theory > theory 
423  30 
val add_instance: string * sort list * class list > string list 
31 
> thm list > tactic option > theory > theory 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

32 
end 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

33 
end; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

34 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

35 
functor AxClassFun(structure Logic: LOGIC and Goals: GOALS and Tactic: TACTIC 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

36 
sharing Goals.Tactical = Tactic.Tactical)(*: AX_CLASS *) = (* FIXME *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

37 
struct 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

38 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

39 
structure Tactical = Goals.Tactical; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

40 
structure Thm = Tactical.Thm; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

41 
structure Sign = Thm.Sign; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

42 
structure Type = Sign.Type; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

43 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

44 
open Logic Thm Tactical Tactic Goals; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

45 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

46 

423  47 
(* FIXME fake!  remove *) 
404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

48 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

49 
val add_defns = add_axioms; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

50 
val add_defns_i = add_axioms_i; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

51 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

52 

423  53 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

54 
(** utilities **) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

55 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

56 
(* type vars *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

57 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

58 
fun map_typ_frees f (Type (t, tys)) = Type (t, map (map_typ_frees f) tys) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

59 
 map_typ_frees f (TFree a) = f a 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

60 
 map_typ_frees _ a = a; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

61 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

62 
val map_term_tfrees = map_term_types o map_typ_frees; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

63 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

64 
fun aT S = TFree ("'a", S); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

65 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

66 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

67 
(* get axioms *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

68 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

69 
fun get_ax thy name = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

70 
Some (get_axiom thy name) handle THEORY _ => None; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

71 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

72 
val get_axioms = mapfilter o get_ax; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

73 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

74 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

75 
(* is_defn *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

76 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

77 
fun is_defn thm = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

78 
(case #prop (rep_thm thm) of 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

79 
Const ("==", _) $ _ $ _ => true 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

80 
 _ => false); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

81 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

82 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

83 

423  84 
(** abstract syntax operations **) (* FIXME > logic.ML (?) *) 
85 

86 
(* subclass relations as terms *) 

87 

88 
fun mk_classrel (c1, c2) = mk_inclass (aT [c1], c2); 

89 

90 
fun dest_classrel tm = 

91 
let 

92 
fun err () = raise_term "dest_classrel" [tm]; 

93 

94 
val (ty, c2) = dest_inclass (freeze_vars tm) handle TERM _ => err (); 

95 
val c1 = (case ty of TFree (_, [c]) => c  _ => err ()); 

96 
in 

97 
(c1, c2) 

98 
end; 

99 

100 

101 
(* arities as terms *) 

102 

103 
fun mk_arity (t, ss, c) = 

104 
let 

105 
val names = variantlist (replicate (length ss) "'a", []); 

106 
val tfrees = map TFree (names ~~ ss); 

107 
in 

108 
mk_inclass (Type (t, tfrees), c) 

109 
end; 

110 

111 
fun dest_arity tm = 

112 
let 

113 
fun err () = raise_term "dest_arity" [tm]; 

114 

115 
val (ty, c) = dest_inclass (freeze_vars tm) handle TERM _ => err (); 

116 
val (t, tfrees) = 

117 
(case ty of 

118 
Type (t, tys) => (t, map (fn TFree x => x  _ => err ()) tys) 

119 
 _ => err ()); 

120 
val ss = 

121 
if null (gen_duplicates eq_fst tfrees) 

122 
then map snd tfrees else err (); 

123 
in 

124 
(t, ss, c) 

125 
end; 

126 

127 

128 

129 
(** add theorems as axioms **) (* FIXME > drule.ML (?) *) 

130 

131 
fun prep_thm_axm thy thm = 

132 
let 

133 
fun err msg = raise THM ("prep_thm_axm: " ^ msg, 0, [thm]); 

134 

135 
val {sign, hyps, prop, ...} = rep_thm thm; 

136 
in 

137 
if not (Sign.subsig (sign, sign_of thy)) then 

138 
err "theorem not of same theory" 

139 
else if not (null hyps) then 

140 
err "theorem may not contain hypotheses" 

141 
else prop 

142 
end; 

143 

144 
(*general theorems*) 

145 
fun add_thms_as_axms thms thy = 

146 
add_axioms_i (map (apsnd (prep_thm_axm thy)) thms) thy; 

147 

148 
(*theorems expressing class relations*) 

149 
fun add_classrel_thms thms thy = 

150 
let 

151 
fun prep_thm thm = 

152 
let 

153 
val prop = prep_thm_axm thy thm; 

154 
val (c1, c2) = dest_classrel prop handle TERM _ => 

155 
raise THM ("add_classrel_thms: theorem is not a class relation", 0, [thm]); 

156 
in (c1, c2) end; 

157 
in 

158 
add_classrel (map prep_thm thms) thy 

159 
end; 

160 

161 
(*theorems expressing arities*) 

162 
fun add_arity_thms thms thy = 

163 
let 

164 
fun prep_thm thm = 

165 
let 

166 
val prop = prep_thm_axm thy thm; 

167 
val (t, ss, c) = dest_arity prop handle TERM _ => 

168 
raise THM ("add_arity_thms: theorem is not an arity", 0, [thm]); 

169 
in (t, ss, [c]) end; 

170 
in 

171 
add_arities (map prep_thm thms) thy 

172 
end; 

173 

174 

175 

176 
(** add axiomatic type classes **) 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

177 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

178 
(* errors *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

179 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

180 
fun err_not_logic c = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

181 
error ("Axiomatic class " ^ quote c ^ " not subclass of \"logic\""); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

182 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

183 
fun err_bad_axsort ax c = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

184 
error ("Sort constraint in axiom " ^ quote ax ^ " not supersort of " ^ quote c); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

185 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

186 
fun err_bad_tfrees ax = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

187 
error ("More than one type variable in axiom " ^ quote ax); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

188 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

189 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

190 
(* ext_axclass *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

191 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

192 
fun ext_axclass prep_axm (class, super_classes) raw_axioms old_thy = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

193 
let 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

194 
val axioms = map (prep_axm (sign_of old_thy)) raw_axioms; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

195 
val thy = add_classes [([], class, super_classes)] old_thy; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

196 
val sign = sign_of thy; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

197 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

198 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

199 
(* prepare abstract axioms *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

200 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

201 
fun abs_axm ax = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

202 
if null (term_tfrees ax) then 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

203 
mk_implies (mk_inclass (aT logicS, class), ax) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

204 
else 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

205 
map_term_tfrees (K (aT [class])) ax; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

206 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

207 
val abs_axioms = map (apsnd abs_axm) axioms; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

208 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

209 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

210 
(* prepare introduction orule *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

211 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

212 
val _ = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

213 
if Sign.subsort sign ([class], logicS) then () 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

214 
else err_not_logic class; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

215 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

216 
fun axm_sort (name, ax) = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

217 
(case term_tfrees ax of 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

218 
[] => [] 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

219 
 [(_, S)] => 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

220 
if Sign.subsort sign ([class], S) then S 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

221 
else err_bad_axsort name class 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

222 
 _ => err_bad_tfrees name); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

223 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

224 
val axS = Sign.norm_sort sign (logicC :: flat (map axm_sort axioms)); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

225 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

226 
val int_axm = close_form o map_term_tfrees (K (aT axS)); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

227 
fun inclass c = mk_inclass (aT axS, c); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

228 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

229 
val intro_axm = list_implies 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

230 
(map inclass super_classes @ map (int_axm o snd) axioms, inclass class); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

231 
in 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

232 
add_axioms_i ((class ^ "I", intro_axm) :: abs_axioms) thy 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

233 
end; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

234 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

235 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

236 
(* external interfaces *) 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

237 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

238 
val add_axclass = ext_axclass read_axm; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

239 
val add_axclass_i = ext_axclass cert_axm; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

240 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

241 

423  242 
(* add signature classes *) 
404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

243 

423  244 
fun ext_sigclass add_cnsts (class, super_classes) consts old_thy = 
245 
old_thy 

246 
> add_axclass (class, super_classes) [] 

247 
> add_defsort [class] 

248 
> add_cnsts consts 

249 
> add_defsort (Type.defaultS (#tsig (Sign.rep_sg (sign_of old_thy)))); 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

250 

423  251 
val add_sigclass = ext_sigclass add_consts; 
252 
val add_sigclass_i = ext_sigclass add_consts_i; 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

253 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

254 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

255 

423  256 
(** prove class relations and type arities **) 
257 

258 
(* class_axms *) 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

259 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

260 
fun class_axms thy = 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

261 
let 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

262 
val classes = Sign.classes (sign_of thy); 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

263 
val intros = map (fn c => c ^ "I") classes; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

264 
in 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

265 
get_axioms thy intros @ 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

266 
map (class_triv thy) classes 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

267 
end; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

268 

423  269 

270 
(* axclass_tac *) 

271 

272 
(*(1) repeatedly resolve goals of form "( ty : c_class )", 

273 
try "cI" axioms first and use class_triv as last resort 

274 
(2) rewrite goals using user supplied definitions 

275 
(3) repeatedly resolve goals with user supplied nondefinitions*) 

276 

277 
fun axclass_tac thy thms = 

278 
TRY (REPEAT_FIRST (resolve_tac (class_axms thy))) THEN 

279 
TRY (rewrite_goals_tac (filter is_defn thms)) THEN 

280 
TRY (REPEAT_FIRST (resolve_tac (filter_out is_defn thms))); 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

281 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

282 

423  283 
(* provers *) 
404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

284 

423  285 
fun prove term_of str_of thy sig_prop thms usr_tac = 
404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

286 
let 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

287 
val sign = sign_of thy; 
423  288 
val goal = cterm_of sign (term_of sig_prop); 
289 
val tac = axclass_tac thy thms THEN (if_none usr_tac all_tac); 

290 
in 

291 
prove_goalw_cterm [] goal (K [tac]) 

292 
end 

293 
handle ERROR => error ("The error(s) above occurred while trying to prove " 

294 
^ quote (str_of sig_prop)); 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

295 

423  296 
val prove_classrel = 
297 
prove mk_classrel (fn (c1, c2) => c1 ^ " < " ^ c2); 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

298 

423  299 
val prove_arity = 
300 
prove mk_arity (fn (t, ss, c) => Type.str_of_arity (t, ss, [c])); 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

301 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

302 

423  303 
(* make goals (for interactive use) *) 
304 

305 
fun mk_goal term_of thy sig_prop = 

306 
goalw_cterm [] (cterm_of (sign_of thy) (term_of sig_prop)); 

307 

308 
val goal_subclass = mk_goal mk_classrel; 

309 
val goal_arity = mk_goal mk_arity; 

310 

311 

312 

313 
(** add proved class relations and instances **) 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

314 

423  315 
fun add_subclass (c1, c2) axms thms usr_tac thy = 
316 
add_classrel_thms 

317 
[prove_classrel thy (c1, c2) (get_axioms thy axms @ thms) usr_tac] thy; 

318 

319 
fun add_instance (t, ss, cs) axms thms usr_tac thy = 

320 
let 

321 
val usr_thms = get_axioms thy axms @ thms; 

322 
fun prove c = 

323 
prove_arity thy (t, ss, c) usr_thms usr_tac; 

324 
in 

325 
add_arity_thms (map prove cs) thy 

326 
end; 

404
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

327 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

328 

dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

329 
end; 
dd3d3d6467db
axiomatic type class 'package' for Pure (alpha version);
wenzelm
parents:
diff
changeset

330 