author  haftmann 
Thu, 04 Oct 2007 19:41:50 +0200  
changeset 24836  dab06e93ec28 
parent 24770  695a8e087b9f 
child 24847  bc15dcaed517 
permissions  rwrr 
24218  1 
(* Title: Pure/Isar/class.ML 
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ID: $Id$ 

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Author: Florian Haftmann, TU Muenchen 

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Type classes derived from primitive axclasses and locales. 

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*) 

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signature CLASS = 

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sig 

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val fork_mixfix: bool > string option > mixfix > mixfix * mixfix 

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val axclass_cmd: bstring * xstring list 

24589  13 
> ((bstring * Attrib.src list) * string list) list 
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> theory > class * theory 

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val classrel_cmd: xstring * xstring > theory > Proof.state 

24748  16 
val class: bool > bstring > class list > Element.context_i Locale.element list 
24218  17 
> string list > theory > string * Proof.context 
24748  18 
val class_cmd: bool > bstring > xstring list > Element.context Locale.element list 
24589  19 
> xstring list > theory > string * Proof.context 
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val add_const_in_class: string > (string * term) * Syntax.mixfix 
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> theory > theory 
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val interpretation_in_class: class * class > theory > Proof.state 
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val interpretation_in_class_cmd: xstring * xstring > theory > Proof.state 

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val prove_interpretation_in_class: tactic > class * class > theory > theory 

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val intro_classes_tac: thm list > tactic 

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val default_intro_classes_tac: thm list > tactic 

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val class_of_locale: theory > string > class option 

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val print_classes: theory > unit 

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val instance_arity: (theory > theory) > arity list > theory > Proof.state 
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val instance: arity list > ((bstring * Attrib.src list) * term) list 

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> (thm list > theory > theory) 
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> theory > Proof.state 
24589  34 
val instance_cmd: (bstring * xstring list * xstring) list 
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> ((bstring * Attrib.src list) * xstring) list 

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> (thm list > theory > theory) 
24218  37 
> theory > Proof.state 
24589  38 
val prove_instance: tactic > arity list 
24218  39 
> ((bstring * Attrib.src list) * term) list 
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> theory > thm list * theory 
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val unoverload: theory > conv 
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val overload: theory > conv 
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val unoverload_const: theory > string * typ > string 
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val inst_const: theory > string * string > string 
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val param_const: theory > string > (string * string) option 
24435  46 
val params_of_sort: theory > sort > (string * (string * typ)) list 
24657  47 

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(*experimental*) 

24748  49 
val init_ref: (sort > Proof.context > Proof.context) ref 
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val init: sort > Proof.context > Proof.context; 

24836  51 
val init_exp: sort > Proof.context > Proof.context; 
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val local_syntax: theory > class > bool 

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val add_abbrev_in_class: string > (string * term) * Syntax.mixfix 

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> theory > term * theory 

24218  55 
end; 
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structure Class : CLASS = 

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struct 

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(** auxiliary **) 

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fun fork_mixfix is_loc some_class mx = 

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let 

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val mx' = Syntax.unlocalize_mixfix mx; 

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val mx_global = if is_some some_class orelse (is_loc andalso mx = mx') 

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then NoSyn else mx'; 

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val mx_local = if is_loc then mx else NoSyn; 

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in (mx_global, mx_local) end; 

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24589  70 
fun prove_interpretation tac prfx_atts expr insts = 
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Locale.interpretation_i I prfx_atts expr insts 

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#> Proof.global_terminal_proof 

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(Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE) 

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#> ProofContext.theory_of; 

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fun prove_interpretation_in tac after_qed (name, expr) = 

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Locale.interpretation_in_locale 

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(ProofContext.theory after_qed) (name, expr) 

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#> Proof.global_terminal_proof 

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(Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE) 

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#> ProofContext.theory_of; 

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fun OF_LAST thm1 thm2 = 

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let 

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val n = (length o Logic.strip_imp_prems o prop_of) thm2; 

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in (thm1 RSN (n, thm2)) end; 

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fun strip_all_ofclass thy sort = 

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let 

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val typ = TVar ((AxClass.param_tyvarname, 0), sort); 

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fun prem_inclass t = 

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case Logic.strip_imp_prems t 

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of ofcls :: _ => try Logic.dest_inclass ofcls 

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 [] => NONE; 

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fun strip_ofclass class thm = 

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thm OF (fst o AxClass.of_sort thy (typ, [class])) AxClass.cache; 

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fun strip thm = case (prem_inclass o Thm.prop_of) thm 

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of SOME (_, class) => thm > strip_ofclass class > strip 

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 NONE => thm; 

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in strip end; 

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102 

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(** axclass command **) 

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24218  105 
fun axclass_cmd (class, raw_superclasses) raw_specs thy = 
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let 

107 
val ctxt = ProofContext.init thy; 

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val superclasses = map (Sign.read_class thy) raw_superclasses; 

24589  109 
val name_atts = map ((apsnd o map) (Attrib.attribute thy) o fst) 
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raw_specs; 

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val axiomss = ProofContext.read_propp (ctxt, map (map (rpair []) o snd) 

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raw_specs) 

24218  113 
> snd 
114 
> (map o map) fst; 

24589  115 
in 
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AxClass.define_class (class, superclasses) [] 

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(name_atts ~~ axiomss) thy 

118 
end; 

24218  119 

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local 

121 

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fun gen_instance mk_prop add_thm after_qed insts thy = 

123 
let 

124 
fun after_qed' results = 

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ProofContext.theory ((fold o fold) add_thm results #> after_qed); 

126 
in 

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thy 

128 
> ProofContext.init 

24589  129 
> Proof.theorem_i NONE after_qed' ((map (fn t => [(t, [])]) 
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o maps (mk_prop thy)) insts) 

24218  131 
end; 
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133 
in 

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24589  135 
val instance_arity = 
24218  136 
gen_instance (Logic.mk_arities oo Sign.cert_arity) AxClass.add_arity; 
24589  137 
val classrel = 
24218  138 
gen_instance (single oo (Logic.mk_classrel oo AxClass.cert_classrel)) 
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AxClass.add_classrel I o single; 

24589  140 
val classrel_cmd = 
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gen_instance (single oo (Logic.mk_classrel oo AxClass.read_classrel)) 

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AxClass.add_classrel I o single; 

24218  143 

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end; (*local*) 

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(** explicit constants for overloaded definitions **) 
24304  148 

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structure InstData = TheoryDataFun 

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( 

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type T = (string * thm) Symtab.table Symtab.table * (string * string) Symtab.table; 
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(*constant name ~> type constructor ~> (constant name, equation), 
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constant name ~> (constant name, type constructor)*) 
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val empty = (Symtab.empty, Symtab.empty); 
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val copy = I; 
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val extend = I; 

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fun merge _ ((taba1, tabb1), (taba2, tabb2)) = 
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(Symtab.join (K (Symtab.merge (K true))) (taba1, taba2), 
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Symtab.merge (K true) (tabb1, tabb2)); 
24304  160 
); 
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24589  162 
fun inst_thms f thy = (Symtab.fold (Symtab.fold (cons o f o snd o snd) o snd) o fst) 
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(InstData.get thy) []; 

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fun add_inst (c, tyco) inst = (InstData.map o apfst 

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o Symtab.map_default (c, Symtab.empty)) (Symtab.update_new (tyco, inst)) 

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#> (InstData.map o apsnd) (Symtab.update_new (fst inst, (c, tyco))); 
24304  167 

24589  168 
fun unoverload thy = MetaSimplifier.rewrite false (inst_thms I thy); 
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fun overload thy = MetaSimplifier.rewrite false (inst_thms symmetric thy); 

24304  170 

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fun inst_const thy (c, tyco) = 

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(fst o the o Symtab.lookup ((the o Symtab.lookup (fst (InstData.get thy))) c)) tyco; 
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fun unoverload_const thy (c_ty as (c, _)) = 
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case AxClass.class_of_param thy c 
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of SOME class => (case Sign.const_typargs thy c_ty 
24589  176 
of [Type (tyco, _)] => (case Symtab.lookup 
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((the o Symtab.lookup (fst (InstData.get thy))) c) tyco 

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of SOME (c, _) => c 
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 NONE => c) 
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 [_] => c) 
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 NONE => c; 
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val param_const = Symtab.lookup o snd o InstData.get; 
24304  184 

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fun add_inst_def (class, tyco) (c, ty) thy = 

186 
let 

187 
val tyco_base = NameSpace.base tyco; 

188 
val name_inst = NameSpace.base class ^ "_" ^ tyco_base ^ "_inst"; 

189 
val c_inst_base = NameSpace.base c ^ "_" ^ tyco_base; 

190 
in 

191 
thy 

192 
> Sign.sticky_prefix name_inst 

24435  193 
> PureThy.simple_def ("", []) 
194 
(((c_inst_base, ty, Syntax.NoSyn), []), Const (c, ty)) 

195 
> (fn (c_inst, thm) => add_inst (c, tyco) (c_inst, symmetric thm)) 

196 
> Sign.restore_naming thy 

24304  197 
end; 
198 

199 
fun add_inst_def' (class, tyco) (c, ty) thy = 

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if case Symtab.lookup (fst (InstData.get thy)) c 
24304  201 
of NONE => true 
202 
 SOME tab => is_none (Symtab.lookup tab tyco) 

203 
then add_inst_def (class, tyco) (c, Logic.unvarifyT ty) thy 

204 
else thy; 

205 

206 
fun add_def ((class, tyco), ((name, prop), atts)) thy = 

207 
let 

24589  208 
val ((lhs as Const (c, ty), args), rhs) = 
209 
(apfst Term.strip_comb o Logic.dest_equals) prop; 

24701  210 
fun (*add_inst' def ([], (Const (c_inst, ty))) = 
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if forall (fn TFree _ => true  _ => false) (Sign.const_typargs thy (c_inst, ty)) 
24304  212 
then add_inst (c, tyco) (c_inst, def) 
213 
else add_inst_def (class, tyco) (c, ty) 

24701  214 
*) add_inst' _ t = add_inst_def (class, tyco) (c, ty); 
24304  215 
in 
216 
thy 

217 
> PureThy.add_defs_i true [((name, prop), map (Attrib.attribute thy) atts)] 

218 
> (fn [def] => add_inst' def (args, rhs) #> pair def) 

219 
end; 

220 

221 

24589  222 
(** instances with implicit parameter handling **) 
24218  223 

224 
local 

225 

24707  226 
fun gen_read_def thy prep_att parse_prop ((raw_name, raw_atts), raw_t) = 
24218  227 
let 
24707  228 
val ctxt = ProofContext.init thy; 
229 
val t = parse_prop ctxt raw_t > Syntax.check_prop ctxt; 

24218  230 
val ((c, ty), _) = Sign.cert_def (Sign.pp thy) t; 
231 
val atts = map (prep_att thy) raw_atts; 

232 
val insts = Consts.typargs (Sign.consts_of thy) (c, ty); 

233 
val name = case raw_name 

234 
of "" => NONE 

235 
 _ => SOME raw_name; 

236 
in (c, (insts, ((name, t), atts))) end; 

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24707  238 
fun read_def_cmd thy = gen_read_def thy Attrib.intern_src Syntax.parse_prop; 
24218  239 
fun read_def thy = gen_read_def thy (K I) (K I); 
240 

24589  241 
fun gen_instance prep_arity read_def do_proof raw_arities raw_defs after_qed theory = 
24218  242 
let 
243 
val arities = map (prep_arity theory) raw_arities; 

244 
val _ = if null arities then error "at least one arity must be given" else (); 

245 
val _ = case (duplicates (op =) o map #1) arities 

246 
of [] => () 

247 
 dupl_tycos => error ("type constructors occur more than once in arities: " 

248 
^ (commas o map quote) dupl_tycos); 

24836  249 
fun get_remove_constraint c thy = 
250 
let 

251 
val ty = Sign.the_const_constraint thy c; 

252 
in 

253 
thy 

254 
> Sign.add_const_constraint (c, NONE) 

255 
> pair (c, Logic.unvarifyT ty) 

256 
end; 

24218  257 
fun get_consts_class tyco ty class = 
258 
let 

259 
val cs = (these o Option.map snd o try (AxClass.params_of_class theory)) class; 

260 
val subst_ty = map_type_tfree (K ty); 

261 
in 

24304  262 
map (fn (c, ty) => (c, ((class, tyco), subst_ty ty))) cs 
24218  263 
end; 
264 
fun get_consts_sort (tyco, asorts, sort) = 

265 
let 

24589  266 
val ty = Type (tyco, map (fn (v, sort) => TVar ((v, 0), sort)) 
267 
(Name.names Name.context "'a" asorts)) 

24731  268 
in maps (get_consts_class tyco ty) (Sign.complete_sort theory sort) end; 
24218  269 
val cs = maps get_consts_sort arities; 
270 
fun mk_typnorm thy (ty, ty_sc) = 

271 
case try (Sign.typ_match thy (Logic.varifyT ty_sc, ty)) Vartab.empty 

272 
of SOME env => SOME (Logic.varifyT #> Envir.typ_subst_TVars env #> Logic.unvarifyT) 

273 
 NONE => NONE; 

274 
fun read_defs defs cs thy_read = 

275 
let 

276 
fun read raw_def cs = 

277 
let 

278 
val (c, (inst, ((name_opt, t), atts))) = read_def thy_read raw_def; 

279 
val ty = Consts.instance (Sign.consts_of thy_read) (c, inst); 

24304  280 
val ((class, tyco), ty') = case AList.lookup (op =) cs c 
24218  281 
of NONE => error ("illegal definition for constant " ^ quote c) 
282 
 SOME class_ty => class_ty; 

283 
val name = case name_opt 

284 
of NONE => Thm.def_name (Logic.name_arity (tyco, [], c)) 

285 
 SOME name => name; 

286 
val t' = case mk_typnorm thy_read (ty', ty) 

287 
of NONE => error ("illegal definition for constant " ^ 

288 
quote (c ^ "::" ^ setmp show_sorts true 

289 
(Sign.string_of_typ thy_read) ty)) 

290 
 SOME norm => map_types norm t 

291 
in (((class, tyco), ((name, t'), atts)), AList.delete (op =) c cs) end; 

292 
in fold_map read defs cs end; 

24304  293 
val (defs, other_cs) = read_defs raw_defs cs 
24218  294 
(fold Sign.primitive_arity arities (Theory.copy theory)); 
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fun after_qed' cs defs = 
24766  296 
fold Sign.add_const_constraint (map (apsnd SOME) cs) 
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#> after_qed defs; 
24218  298 
in 
299 
theory 

24748  300 
> fold_map get_remove_constraint (map fst cs > distinct (op =)) 
24304  301 
>> fold_map add_def defs 
302 
> fold (fn (c, ((class, tyco), ty)) => add_inst_def' (class, tyco) (c, ty)) other_cs 

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> (fn (cs, defs) => do_proof (after_qed' cs defs) arities defs) 
24218  304 
end; 
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fun tactic_proof tac f arities defs = 
24218  307 
fold (fn arity => AxClass.prove_arity arity tac) arities 
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#> f 
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#> pair defs; 
24218  310 

311 
in 

312 

24589  313 
val instance = gen_instance Sign.cert_arity read_def 
314 
(fn f => fn arities => fn defs => instance_arity f arities); 

315 
val instance_cmd = gen_instance Sign.read_arity read_def_cmd 

316 
(fn f => fn arities => fn defs => instance_arity f arities); 

317 
fun prove_instance tac arities defs = 

318 
gen_instance Sign.cert_arity read_def 

319 
(tactic_proof tac) arities defs (K I); 

24218  320 

321 
end; (*local*) 

322 

323 

324 

24589  325 
(** class data **) 
24218  326 

327 
datatype class_data = ClassData of { 

328 
locale: string, 

329 
consts: (string * string) list 

24836  330 
(*locale parameter ~> constant name*), 
24748  331 
local_sort: sort, 
24589  332 
inst: typ Symtab.table * term Symtab.table 
333 
(*canonical interpretation*), 

24657  334 
intro: thm, 
24748  335 
local_syntax: bool, 
24657  336 
defs: thm list, 
24836  337 
operations: (string * (term * int) option) list 
338 
(*constant name ~> (locale term, instantiaton index of class typ)*) 

24657  339 
}; 
24218  340 

24657  341 
fun rep_class_data (ClassData d) = d; 
24836  342 
fun mk_class_data ((locale, consts, local_sort, inst, intro, local_syntax), (defs, operations)) = 
24748  343 
ClassData { locale = locale, consts = consts, local_sort = local_sort, inst = inst, intro = intro, 
24836  344 
local_syntax = local_syntax, defs = defs, operations = operations }; 
345 
fun map_class_data f (ClassData { locale, consts, local_sort, inst, intro, local_syntax, defs, operations }) = 

346 
mk_class_data (f ((locale, consts, local_sort, inst, intro, local_syntax), (defs, operations))) 

24748  347 
fun merge_class_data _ (ClassData { locale = locale, consts = consts, local_sort = local_sort, inst = inst, 
24836  348 
intro = intro, local_syntax = local_syntax, defs = defs1, operations = operations1 }, 
24748  349 
ClassData { locale = _, consts = _, local_sort = _, inst = _, intro = _, local_syntax = _, 
24836  350 
defs = defs2, operations = operations2 }) = 
24748  351 
mk_class_data ((locale, consts, local_sort, inst, intro, local_syntax), 
24836  352 
(Thm.merge_thms (defs1, defs2), AList.merge (op =) (K true) (operations1, operations2))); 
24218  353 

354 
fun merge_pair f1 f2 ((x1, y1), (x2, y2)) = (f1 (x1, x2), f2 (y1, y2)); 

355 

356 
structure ClassData = TheoryDataFun 

357 
( 

24657  358 
type T = class_data Graph.T * class Symtab.table 
359 
(*locale name ~> class name*); 

24218  360 
val empty = (Graph.empty, Symtab.empty); 
361 
val copy = I; 

362 
val extend = I; 

24657  363 
fun merge _ = merge_pair (Graph.join merge_class_data) (Symtab.merge (K true)); 
24218  364 
); 
365 

366 

367 
(* queries *) 

368 

24657  369 
val lookup_class_data = Option.map rep_class_data oo try o Graph.get_node 
24589  370 
o fst o ClassData.get; 
24218  371 
fun class_of_locale thy = Symtab.lookup ((snd o ClassData.get) thy); 
372 

24589  373 
fun the_class_data thy class = case lookup_class_data thy class 
374 
of NONE => error ("undeclared class " ^ quote class) 

375 
 SOME data => data; 

24218  376 

377 
val ancestry = Graph.all_succs o fst o ClassData.get; 

378 

24435  379 
fun params_of_sort thy = 
24218  380 
let 
381 
fun params class = 

382 
let 

383 
val const_typs = (#params o AxClass.get_definition thy) class; 

24657  384 
val const_names = (#consts o the_class_data thy) class; 
24218  385 
in 
386 
(map o apsnd) (fn c => (c, (the o AList.lookup (op =) const_typs) c)) const_names 

387 
end; 

388 
in maps params o ancestry thy end; 

389 

24657  390 
fun these_defs thy = maps (these o Option.map #defs o lookup_class_data thy) o ancestry thy; 
24218  391 

392 
fun these_intros thy = 

24657  393 
Graph.fold (fn (_, (data, _)) => insert Thm.eq_thm ((#intro o rep_class_data) data)) 
24218  394 
((fst o ClassData.get) thy) []; 
395 

24836  396 
fun these_operations thy = 
397 
maps (#operations o the_class_data thy) o ancestry thy; 

24657  398 

24836  399 
fun local_operation thy = Option.join oo AList.lookup (op =) o these_operations thy; 
24657  400 

24836  401 
fun local_syntax thy = #local_syntax o the_class_data thy; 
24748  402 

24218  403 
fun print_classes thy = 
404 
let 

405 
val algebra = Sign.classes_of thy; 

406 
val arities = 

407 
Symtab.empty 

408 
> Symtab.fold (fn (tyco, arities) => fold (fn (class, _) => 

409 
Symtab.map_default (class, []) (insert (op =) tyco)) arities) 

410 
((#arities o Sorts.rep_algebra) algebra); 

411 
val the_arities = these o Symtab.lookup arities; 

412 
fun mk_arity class tyco = 

413 
let 

414 
val Ss = Sorts.mg_domain algebra tyco [class]; 

415 
in Sign.pretty_arity thy (tyco, Ss, [class]) end; 

416 
fun mk_param (c, ty) = Pretty.str (Sign.extern_const thy c ^ " :: " 

417 
^ setmp show_sorts false (Sign.string_of_typ thy o Type.strip_sorts) ty); 

418 
fun mk_entry class = (Pretty.block o Pretty.fbreaks o map_filter I) [ 

419 
(SOME o Pretty.str) ("class " ^ class ^ ":"), 

420 
(SOME o Pretty.block) [Pretty.str "supersort: ", 

24731  421 
(Sign.pretty_sort thy o Sign.minimize_sort thy o Sign.super_classes thy) class], 
24657  422 
Option.map (Pretty.str o prefix "locale: " o #locale) (lookup_class_data thy class), 
24218  423 
((fn [] => NONE  ps => (SOME o Pretty.block o Pretty.fbreaks) (Pretty.str "parameters:" :: ps)) o map mk_param 
424 
o these o Option.map #params o try (AxClass.get_definition thy)) class, 

425 
(SOME o Pretty.block o Pretty.breaks) [ 

426 
Pretty.str "instances:", 

427 
Pretty.list "" "" (map (mk_arity class) (the_arities class)) 

428 
] 

429 
] 

430 
in 

24589  431 
(Pretty.writeln o Pretty.chunks o separate (Pretty.str "") 
432 
o map mk_entry o Sorts.all_classes) algebra 

24218  433 
end; 
434 

435 

436 
(* updaters *) 

437 

24748  438 
fun add_class_data ((class, superclasses), (locale, consts, local_sort, inst, intro, local_syntax)) = 
24218  439 
ClassData.map (fn (gr, tab) => ( 
440 
gr 

24748  441 
> Graph.new_node (class, mk_class_data ((locale, (map o apfst) fst consts, local_sort, inst, 
24836  442 
intro, local_syntax), ([], map (apsnd (SOME o rpair 0 o Free) o swap) consts))) 
24218  443 
> fold (curry Graph.add_edge class) superclasses, 
444 
tab 

445 
> Symtab.update (locale, class) 

446 
)); 

447 

24836  448 
fun register_const (class, (entry, def)) = 
24657  449 
(ClassData.map o apfst o Graph.map_node class o map_class_data o apsnd) 
24836  450 
(fn (defs, operations) => (def :: defs, apsnd SOME entry :: operations)); 
451 

452 
fun register_abbrev class abbrev = 

453 
(ClassData.map o apfst o Graph.map_node class o map_class_data o apsnd o apsnd) 

454 
(cons (abbrev, NONE)); 

24218  455 

24589  456 

457 
(** rule calculation, tactics and methods **) 

458 

459 
fun class_intro thy locale class sups = 

460 
let 

461 
fun class_elim class = 

462 
case (map Drule.unconstrainTs o #axioms o AxClass.get_definition thy) class 

463 
of [thm] => SOME thm 

464 
 [] => NONE; 

465 
val pred_intro = case Locale.intros thy locale 

466 
of ([ax_intro], [intro]) => intro > OF_LAST ax_intro > SOME 

467 
 ([intro], []) => SOME intro 

468 
 ([], [intro]) => SOME intro 

469 
 _ => NONE; 

470 
val pred_intro' = pred_intro 

471 
> Option.map (fn intro => intro OF map_filter class_elim sups); 

472 
val class_intro = (#intro o AxClass.get_definition thy) class; 

473 
val raw_intro = case pred_intro' 

474 
of SOME pred_intro => class_intro > OF_LAST pred_intro 

475 
 NONE => class_intro; 

476 
val sort = Sign.super_classes thy class; 

477 
val typ = TVar ((AxClass.param_tyvarname, 0), sort); 

478 
val defs = these_defs thy sups; 

479 
in 

480 
raw_intro 

481 
> Drule.instantiate' [SOME (Thm.ctyp_of thy typ)] [] 

482 
> strip_all_ofclass thy sort 

483 
> Thm.strip_shyps 

484 
> MetaSimplifier.rewrite_rule defs 

485 
> Drule.unconstrainTs 

486 
end; 

487 

488 
fun class_interpretation class facts defs thy = 

489 
let 

24657  490 
val { locale, inst, ... } = the_class_data thy class; 
24589  491 
val tac = (ALLGOALS o ProofContext.fact_tac) facts; 
492 
val prfx = Logic.const_of_class (NameSpace.base class); 

493 
in 

494 
prove_interpretation tac ((false, prfx), []) (Locale.Locale locale) 

495 
(inst, defs) thy 

496 
end; 

497 

498 
fun interpretation_in_rule thy (class1, class2) = 

499 
let 

500 
fun mk_axioms class = 

501 
let 

24657  502 
val { locale, inst = (_, insttab), ... } = the_class_data thy class; 
24589  503 
in 
504 
Locale.global_asms_of thy locale 

505 
> maps snd 

506 
> (map o map_aterms) (fn Free (s, _) => (the o Symtab.lookup insttab) s  t => t) 

507 
> (map o map_types o map_atyps) (fn TFree _ => TFree ("'a", [class1])  T => T) 

508 
> map (ObjectLogic.ensure_propT thy) 

509 
end; 

510 
val (prems, concls) = pairself mk_axioms (class1, class2); 

511 
in 

512 
Goal.prove_global thy [] prems (Logic.mk_conjunction_list concls) 

513 
(Locale.intro_locales_tac true (ProofContext.init thy)) 

514 
end; 

24218  515 

516 
fun intro_classes_tac facts st = 

517 
let 

518 
val thy = Thm.theory_of_thm st; 

519 
val classes = Sign.all_classes thy; 

520 
val class_trivs = map (Thm.class_triv thy) classes; 

521 
val class_intros = these_intros thy; 

522 
fun add_axclass_intro class = 

523 
case try (AxClass.get_definition thy) class of SOME {intro, ...} => cons intro  _ => I; 

524 
val axclass_intros = fold add_axclass_intro classes []; 

525 
in 

526 
st 

527 
> ((ALLGOALS (Method.insert_tac facts THEN' 

528 
REPEAT_ALL_NEW (resolve_tac (class_trivs @ class_intros @ axclass_intros)))) 

529 
THEN Tactic.distinct_subgoals_tac) 

530 
end; 

531 

532 
fun default_intro_classes_tac [] = intro_classes_tac [] 

533 
 default_intro_classes_tac _ = Tactical.no_tac; (*no error message!*) 

534 

535 
fun default_tac rules ctxt facts = 

536 
HEADGOAL (Method.some_rule_tac rules ctxt facts) ORELSE 

537 
default_intro_classes_tac facts; 

538 

539 
val _ = Context.add_setup (Method.add_methods 

540 
[("intro_classes", Method.no_args (Method.METHOD intro_classes_tac), 

541 
"backchain introduction rules of classes"), 

542 
("default", Method.thms_ctxt_args (Method.METHOD oo default_tac), 

543 
"apply some intro/elim rule")]); 

544 

545 

24589  546 
(** classes and class target **) 
24218  547 

24836  548 
(* class context initialization  experimental *) 
24748  549 

24836  550 
fun get_remove_constraints sort ctxt = 
24748  551 
let 
24836  552 
val operations = these_operations (ProofContext.theory_of ctxt) sort; 
553 
fun get_remove (c, _) ctxt = 

554 
let 

555 
val ty = ProofContext.the_const_constraint ctxt c; 

556 
val _ = tracing c; 

557 
in 

558 
ctxt 

559 
> ProofContext.add_const_constraint (c, NONE) 

560 
> pair (c, ty) 

561 
end; 

24748  562 
in 
563 
ctxt 

24836  564 
> fold_map get_remove operations 
24748  565 
end; 
566 

567 
fun sort_term_check thy sort constraints = 

568 
let 

24836  569 
val local_operation = local_operation thy sort; 
570 
fun default_typ consts c = case AList.lookup (op =) constraints c 

571 
of SOME ty => SOME ty 

572 
 NONE => try (Consts.the_constraint consts) c; 

573 
fun infer_constraints ctxt ts = 

574 
TypeInfer.infer_types (ProofContext.pp ctxt) 

575 
(Sign.tsig_of (ProofContext.theory_of ctxt)) 

576 
I (default_typ (ProofContext.consts_of ctxt)) (K NONE) 

577 
(Variable.names_of ctxt) (Variable.maxidx_of ctxt) NONE (map (rpair dummyT) ts) 

578 
> fst > map fst 

579 
handle TYPE (msg, _, _) => error msg; 

580 
fun check_typ c idx ty = case (nth (Sign.const_typargs thy (c, ty)) idx) (*FIXME localize*) 

581 
of TFree (v, _) => v = AxClass.param_tyvarname 

582 
 TVar (vi, _) => TypeInfer.is_param vi (*FIXME substitute in all typs*) 

583 
 _ => false; 

584 
fun subst_operation (t as Const (c, ty)) = (case local_operation c 

585 
of SOME (t', idx) => if check_typ c idx ty then t' else t 

586 
 NONE => t) 

587 
 subst_operation t = t; 

588 
fun subst_operations ts ctxt = 

589 
ts 

590 
> (map o map_aterms) subst_operation 

591 
> infer_constraints ctxt 

592 
> rpair ctxt; (*FIXME add constraints here*) 

593 
in subst_operations end; 

24748  594 

24836  595 
fun init_exp sort ctxt = 
24748  596 
let 
597 
val thy = ProofContext.theory_of ctxt; 

24836  598 
val local_sort = (#local_sort o the_class_data thy) (hd sort); 
24748  599 
val term_check = sort_term_check thy sort; 
600 
in 

601 
ctxt 

24836  602 
> Variable.declare_term 
603 
(Logic.mk_type (TFree (AxClass.param_tyvarname, local_sort))) 

604 
> get_remove_constraints sort 

605 
> (fn constraints => Context.proof_map (Syntax.add_term_check 50 "class" 

606 
(sort_term_check thy sort constraints))) 

24748  607 
end; 
608 

609 
val init_ref = ref (K I : sort > Proof.context > Proof.context); 

610 
fun init class = ! init_ref class; 

611 

612 

24589  613 
(* class definition *) 
24218  614 

615 
local 

616 

24707  617 
fun read_param thy raw_t = (* FIXME ProofContext.read_const (!?) *) 
24218  618 
let 
24707  619 
val t = Syntax.read_term_global thy raw_t 
24218  620 
in case try dest_Const t 
621 
of SOME (c, _) => c 

622 
 NONE => error ("Not a constant: " ^ Sign.string_of_term thy t) 

623 
end; 

624 

24748  625 
fun gen_class_spec prep_class prep_expr process_expr thy raw_supclasses raw_includes_elems = 
24218  626 
let 
24748  627 
val supclasses = map (prep_class thy) raw_supclasses; 
628 
val sups = filter (is_some o lookup_class_data thy) supclasses 

629 
> Sign.minimize_sort thy; 

630 
val supsort = Sign.minimize_sort thy supclasses; 

24836  631 
val local_sort = case sups 
632 
of sup :: _ => (#local_sort o the_class_data thy) sup 

633 
 [] => supsort; 

24748  634 
val suplocales = map (Locale.Locale o #locale o the_class_data thy) sups; 
635 
val (raw_elems, includes) = fold_rev (fn Locale.Elem e => apfst (cons e) 

636 
 Locale.Expr i => apsnd (cons (prep_expr thy i))) raw_includes_elems ([], []); 

637 
val supexpr = Locale.Merge suplocales; 

638 
val supparams = (map fst o Locale.parameters_of_expr thy) supexpr; 

639 
val supconsts = AList.make (the o AList.lookup (op =) (params_of_sort thy sups)) 

640 
(map fst supparams); 

641 
val mergeexpr = Locale.Merge (suplocales @ includes); 

642 
val constrain = Element.Constrains ((map o apsnd o map_atyps) 

643 
(fn TFree (_, sort) => TFree (AxClass.param_tyvarname, sort)) supparams); 

644 
in 

645 
ProofContext.init thy 

646 
> Locale.cert_expr supexpr [constrain] 

647 
> snd 

648 
> init supsort 

649 
> process_expr Locale.empty raw_elems 

650 
> fst 

24836  651 
> (fn elems => ((((sups, supconsts), (supsort, local_sort, mergeexpr)), 
24748  652 
(*FIXME*) if null includes then constrain :: elems else elems))) 
653 
end; 

654 

655 
val read_class_spec = gen_class_spec Sign.intern_class Locale.intern_expr Locale.read_expr; 

656 
val check_class_spec = gen_class_spec (K I) (K I) Locale.cert_expr; 

657 

658 
fun gen_class prep_spec prep_param local_syntax bname 

659 
raw_supclasses raw_includes_elems raw_other_consts thy = 

660 
let 

24836  661 
val (((sups, supconsts), (supsort, local_sort, mergeexpr)), elems) = 
24748  662 
prep_spec thy raw_supclasses raw_includes_elems; 
663 
val other_consts = map (prep_param thy) raw_other_consts; 

24589  664 
fun mk_instT class = Symtab.empty 
665 
> Symtab.update (AxClass.param_tyvarname, TFree (AxClass.param_tyvarname, [class])); 

666 
fun mk_inst class param_names cs = 

667 
Symtab.empty 

668 
> fold2 (fn v => fn (c, ty) => Symtab.update (v, Const 

669 
(c, Term.map_type_tfree (fn (v, _) => TFree (v, [class])) ty))) param_names cs; 

24218  670 
fun extract_params thy name_locale = 
671 
let 

672 
val params = Locale.parameters_of thy name_locale; 

24748  673 
val local_sort = case AList.group (op =) ((maps typ_tfrees o map (snd o fst)) params) 
674 
of [(_, local_sort :: _)] => local_sort 

675 
 _ => Sign.defaultS thy 

676 
 vs => error ("exactly one type variable required: " ^ commas (map fst vs)); 

677 
val _ = if Sign.subsort thy (supsort, local_sort) then () else error 

678 
("Sort " ^ Sign.string_of_sort thy local_sort 

679 
^ " is less general than permitted least general sort " 

680 
^ Sign.string_of_sort thy supsort); 

24218  681 
in 
24748  682 
(local_sort, (map fst params, params 
683 
> (map o apfst o apsnd o Term.map_type_tfree) (K (TFree (AxClass.param_tyvarname, local_sort))) 

24218  684 
> (map o apsnd) (fork_mixfix true NONE #> fst) 
685 
> chop (length supconsts) 

686 
> snd)) 

687 
end; 

688 
fun extract_assumes name_locale params thy cs = 

689 
let 

690 
val consts = supconsts @ (map (fst o fst) params ~~ cs); 

691 
fun subst (Free (c, ty)) = 

692 
Const ((fst o the o AList.lookup (op =) consts) c, ty) 

693 
 subst t = t; 

694 
fun prep_asm ((name, atts), ts) = 

695 
((NameSpace.base name, map (Attrib.attribute thy) atts), 

24589  696 
(map o map_aterms) subst ts); 
24218  697 
in 
698 
Locale.global_asms_of thy name_locale 

699 
> map prep_asm 

700 
end; 

701 
fun note_intro name_axclass class_intro = 

702 
PureThy.note_thmss_qualified "" ((Logic.const_of_class o NameSpace.base) name_axclass) 

703 
[(("intro", []), [([class_intro], [])])] 

704 
#> snd 

705 
in 

706 
thy 

24748  707 
> Locale.add_locale_i (SOME "") bname mergeexpr elems 
24218  708 
> (fn name_locale => ProofContext.theory_result ( 
709 
`(fn thy => extract_params thy name_locale) 

24836  710 
#> (fn (_, (globals, params)) => 
24589  711 
AxClass.define_class_params (bname, supsort) params 
712 
(extract_assumes name_locale params) other_consts 

713 
#> (fn (name_axclass, (consts, axioms)) => 

24218  714 
`(fn thy => class_intro thy name_locale name_axclass sups) 
715 
#> (fn class_intro => 

716 
add_class_data ((name_axclass, sups), 

24748  717 
(name_locale, map fst params ~~ map fst consts, local_sort, 
24657  718 
(mk_instT name_axclass, mk_inst name_axclass (map fst globals) 
24748  719 
(map snd supconsts @ consts)), class_intro, local_syntax)) 
24218  720 
#> note_intro name_axclass class_intro 
24589  721 
#> class_interpretation name_axclass axioms [] 
24218  722 
#> pair name_axclass 
723 
))))) 

724 
end; 

725 

726 
in 

727 

24748  728 
val class_cmd = gen_class read_class_spec read_param; 
729 
val class = gen_class check_class_spec (K I); 

24218  730 

731 
end; (*local*) 

732 

733 

24589  734 
(* definition in class target *) 
24218  735 

736 
fun export_fixes thy class = 

737 
let 

24435  738 
val consts = params_of_sort thy [class]; 
24218  739 
fun subst_aterm (t as Free (v, ty)) = (case AList.lookup (op =) consts v 
740 
of SOME (c, _) => Const (c, ty) 

741 
 NONE => t) 

742 
 subst_aterm t = t; 

24657  743 
in Term.map_aterms subst_aterm end; 
24218  744 

745 
fun add_const_in_class class ((c, rhs), syn) thy = 

746 
let 

747 
val prfx = (Logic.const_of_class o NameSpace.base) class; 

24657  748 
fun mk_name c = 
24218  749 
let 
750 
val n1 = Sign.full_name thy c; 

751 
val n2 = NameSpace.qualifier n1; 

752 
val n3 = NameSpace.base n1; 

24657  753 
in NameSpace.implode [n2, prfx, n3] end; 
754 
val constrain_sort = curry (Sorts.inter_sort (Sign.classes_of thy)) [class]; 

24748  755 
val rhs' = export_fixes thy class rhs; 
24657  756 
val subst_typ = Term.map_type_tfree (fn var as (w, sort) => 
24748  757 
if w = AxClass.param_tyvarname then TFree (w, constrain_sort sort) else TFree var); 
24218  758 
val ty' = Term.fastype_of rhs'; 
24657  759 
val ty'' = subst_typ ty'; 
760 
val c' = mk_name c; 

761 
val def = (c, Logic.mk_equals (Const (c', ty'), rhs')); 

24218  762 
val (syn', _) = fork_mixfix true NONE syn; 
24657  763 
fun interpret def thy = 
24218  764 
let 
24589  765 
val def' = symmetric def; 
24218  766 
val def_eq = Thm.prop_of def'; 
24657  767 
val typargs = Sign.const_typargs thy (c', fastype_of rhs); 
24748  768 
val typidx = find_index (fn TFree (w, _) => AxClass.param_tyvarname = w  _ => false) typargs; 
24218  769 
in 
24657  770 
thy 
771 
> class_interpretation class [def'] [def_eq] 

24836  772 
> register_const (class, ((c', (rhs, typidx)), def')) 
24218  773 
end; 
774 
in 

775 
thy 

776 
> Sign.add_path prfx 

24770
695a8e087b9f
Sign.add_consts_authentic: tags (Markup.property list);
wenzelm
parents:
24766
diff
changeset

777 
> Sign.add_consts_authentic [] [(c, ty', syn')] 
24218  778 
> Sign.parent_path 
779 
> Sign.sticky_prefix prfx 

780 
> PureThy.add_defs_i false [(def, [])] 

781 
> (fn [def] => interpret def) 

24766  782 
> Sign.add_const_constraint (c', SOME ty'') 
24218  783 
> Sign.restore_naming thy 
784 
end; 

785 

24836  786 
fun add_abbrev_in_class class ((c, rhs), syn) thy = 
787 
let 

788 
val local_sort = (#local_sort o the_class_data thy) class; 

789 
val subst_typ = Term.map_type_tfree (fn var as (w, sort) => 

790 
if w = AxClass.param_tyvarname then TFree (w, local_sort) else TFree var); 

791 
val ty = fastype_of rhs; 

792 
val rhs' = map_types subst_typ rhs; 

793 
in 

794 
thy 

795 
> Sign.parent_path (*FIXME*) 

796 
> Sign.add_abbrev Syntax.internalM [] (c, rhs) 

797 
> (fn (lhs as Const (c', _), _) => register_abbrev class c' 

798 
(*#> Sign.add_const_constraint (c', SOME ty)*) 

799 
#> pair lhs) 

800 
> Sign.restore_naming thy 

801 
end; 

802 

24589  803 

804 
(* interpretation in class target *) 

805 

806 
local 

807 

808 
fun gen_interpretation_in_class prep_class do_proof (raw_class, raw_superclass) theory = 

809 
let 

810 
val class = prep_class theory raw_class; 

811 
val superclass = prep_class theory raw_superclass; 

24657  812 
val loc_name = (#locale o the_class_data theory) class; 
813 
val loc_expr = (Locale.Locale o #locale o the_class_data theory) superclass; 

24589  814 
fun prove_classrel (class, superclass) thy = 
815 
let 

24731  816 
val classes = Sign.complete_sort thy [superclass] 
24589  817 
> filter_out (fn class' => Sign.subsort thy ([class], [class'])); 
818 
fun instance_subclass (class1, class2) thy = 

819 
let 

820 
val interp = interpretation_in_rule thy (class1, class2); 

821 
val ax = #axioms (AxClass.get_definition thy class1); 

822 
val intro = #intro (AxClass.get_definition thy class2) 

823 
> Drule.instantiate' [SOME (Thm.ctyp_of thy 

824 
(TVar ((AxClass.param_tyvarname, 0), [class1])))] []; 

24731  825 
val thm = 
24589  826 
intro 
827 
> OF_LAST (interp OF ax) 

828 
> strip_all_ofclass thy (Sign.super_classes thy class2); 

829 
in 

830 
thy > AxClass.add_classrel thm 

831 
end; 

832 
in 

833 
thy > fold_rev (curry instance_subclass class) classes 

834 
end; 

835 
in 

836 
theory 

837 
> do_proof (prove_classrel (class, superclass)) (loc_name, loc_expr) 

838 
end; 

839 

840 
in 

841 

842 
val interpretation_in_class = gen_interpretation_in_class Sign.certify_class 

843 
(Locale.interpretation_in_locale o ProofContext.theory); 

844 
val interpretation_in_class_cmd = gen_interpretation_in_class Sign.read_class 

845 
(Locale.interpretation_in_locale o ProofContext.theory); 

846 
val prove_interpretation_in_class = gen_interpretation_in_class Sign.certify_class 

847 
o prove_interpretation_in; 

848 

849 
end; (*local*) 

850 

24218  851 
end; 