(* Title: Pure/Isar/class.ML
ID: $Id$
Author: Florian Haftmann, TU Muenchen
Type classes derived from primitive axclasses and locales.
*)
signature CLASS =
sig
val fork_mixfix: bool -> string option -> mixfix -> mixfix * mixfix
val axclass_cmd: bstring * xstring list
-> ((bstring * Attrib.src list) * string list) list
-> theory -> class * theory
val classrel_cmd: xstring * xstring -> theory -> Proof.state
val class: bstring -> class list -> Element.context_i Locale.element list
-> string list -> theory -> string * Proof.context
val class_cmd: bstring -> xstring list -> Element.context Locale.element list
-> xstring list -> theory -> string * Proof.context
val add_const_in_class: string -> (string * term) * Syntax.mixfix
-> theory -> theory
val interpretation_in_class: class * class -> theory -> Proof.state
val interpretation_in_class_cmd: xstring * xstring -> theory -> Proof.state
val prove_interpretation_in_class: tactic -> class * class -> theory -> theory
val intro_classes_tac: thm list -> tactic
val default_intro_classes_tac: thm list -> tactic
val class_of_locale: theory -> string -> class option
val print_classes: theory -> unit
val instance_arity: (theory -> theory) -> arity list -> theory -> Proof.state
val instance: arity list -> ((bstring * Attrib.src list) * term) list
-> (thm list -> theory -> theory)
-> theory -> Proof.state
val instance_cmd: (bstring * xstring list * xstring) list
-> ((bstring * Attrib.src list) * xstring) list
-> (thm list -> theory -> theory)
-> theory -> Proof.state
val prove_instance: tactic -> arity list
-> ((bstring * Attrib.src list) * term) list
-> theory -> thm list * theory
val unoverload: theory -> conv
val overload: theory -> conv
val unoverload_const: theory -> string * typ -> string
val inst_const: theory -> string * string -> string
val param_const: theory -> string -> (string * string) option
val params_of_sort: theory -> sort -> (string * (string * typ)) list
(*experimental*)
val init_ref: (class -> Proof.context -> (theory -> theory) * Proof.context) ref
val init: class -> Proof.context -> (theory -> theory) * Proof.context;
val init_default: class -> Proof.context -> (theory -> theory) * Proof.context;
val remove_constraints: class -> theory -> (string * typ) list * theory
val class_term_check: theory -> class -> term list -> Proof.context -> term list * Proof.context
val local_param: theory -> class -> string -> (term * (class * int)) option
end;
structure Class : CLASS =
struct
(** auxiliary **)
fun fork_mixfix is_loc some_class mx =
let
val mx' = Syntax.unlocalize_mixfix mx;
val mx_global = if is_some some_class orelse (is_loc andalso mx = mx')
then NoSyn else mx';
val mx_local = if is_loc then mx else NoSyn;
in (mx_global, mx_local) end;
fun prove_interpretation tac prfx_atts expr insts =
Locale.interpretation_i I prfx_atts expr insts
#> Proof.global_terminal_proof
(Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
#> ProofContext.theory_of;
fun prove_interpretation_in tac after_qed (name, expr) =
Locale.interpretation_in_locale
(ProofContext.theory after_qed) (name, expr)
#> Proof.global_terminal_proof
(Method.Basic (K (Method.SIMPLE_METHOD tac), Position.none), NONE)
#> ProofContext.theory_of;
fun OF_LAST thm1 thm2 =
let
val n = (length o Logic.strip_imp_prems o prop_of) thm2;
in (thm1 RSN (n, thm2)) end;
fun strip_all_ofclass thy sort =
let
val typ = TVar ((AxClass.param_tyvarname, 0), sort);
fun prem_inclass t =
case Logic.strip_imp_prems t
of ofcls :: _ => try Logic.dest_inclass ofcls
| [] => NONE;
fun strip_ofclass class thm =
thm OF (fst o AxClass.of_sort thy (typ, [class])) AxClass.cache;
fun strip thm = case (prem_inclass o Thm.prop_of) thm
of SOME (_, class) => thm |> strip_ofclass class |> strip
| NONE => thm;
in strip end;
fun get_remove_contraint c thy =
let
val ty = Sign.the_const_constraint thy c;
in
thy
|> Sign.add_const_constraint_i (c, NONE)
|> pair (c, Logic.unvarifyT ty)
end;
(** axclass command **)
fun axclass_cmd (class, raw_superclasses) raw_specs thy =
let
val ctxt = ProofContext.init thy;
val superclasses = map (Sign.read_class thy) raw_superclasses;
val name_atts = map ((apsnd o map) (Attrib.attribute thy) o fst)
raw_specs;
val axiomss = ProofContext.read_propp (ctxt, map (map (rpair []) o snd)
raw_specs)
|> snd
|> (map o map) fst;
in
AxClass.define_class (class, superclasses) []
(name_atts ~~ axiomss) thy
end;
local
fun gen_instance mk_prop add_thm after_qed insts thy =
let
fun after_qed' results =
ProofContext.theory ((fold o fold) add_thm results #> after_qed);
in
thy
|> ProofContext.init
|> Proof.theorem_i NONE after_qed' ((map (fn t => [(t, [])])
o maps (mk_prop thy)) insts)
end;
in
val instance_arity =
gen_instance (Logic.mk_arities oo Sign.cert_arity) AxClass.add_arity;
val classrel =
gen_instance (single oo (Logic.mk_classrel oo AxClass.cert_classrel))
AxClass.add_classrel I o single;
val classrel_cmd =
gen_instance (single oo (Logic.mk_classrel oo AxClass.read_classrel))
AxClass.add_classrel I o single;
end; (*local*)
(** explicit constants for overloaded definitions **)
structure InstData = TheoryDataFun
(
type T = (string * thm) Symtab.table Symtab.table * (string * string) Symtab.table;
(*constant name ~> type constructor ~> (constant name, equation),
constant name ~> (constant name, type constructor)*)
val empty = (Symtab.empty, Symtab.empty);
val copy = I;
val extend = I;
fun merge _ ((taba1, tabb1), (taba2, tabb2)) =
(Symtab.join (K (Symtab.merge (K true))) (taba1, taba2),
Symtab.merge (K true) (tabb1, tabb2));
);
fun inst_thms f thy = (Symtab.fold (Symtab.fold (cons o f o snd o snd) o snd) o fst)
(InstData.get thy) [];
fun add_inst (c, tyco) inst = (InstData.map o apfst
o Symtab.map_default (c, Symtab.empty)) (Symtab.update_new (tyco, inst))
#> (InstData.map o apsnd) (Symtab.update_new (fst inst, (c, tyco)));
fun unoverload thy = MetaSimplifier.rewrite false (inst_thms I thy);
fun overload thy = MetaSimplifier.rewrite false (inst_thms symmetric thy);
fun inst_const thy (c, tyco) =
(fst o the o Symtab.lookup ((the o Symtab.lookup (fst (InstData.get thy))) c)) tyco;
fun unoverload_const thy (c_ty as (c, _)) =
case AxClass.class_of_param thy c
of SOME class => (case Sign.const_typargs thy c_ty
of [Type (tyco, _)] => (case Symtab.lookup
((the o Symtab.lookup (fst (InstData.get thy))) c) tyco
of SOME (c, _) => c
| NONE => c)
| [_] => c)
| NONE => c;
val param_const = Symtab.lookup o snd o InstData.get;
fun add_inst_def (class, tyco) (c, ty) thy =
let
val tyco_base = NameSpace.base tyco;
val name_inst = NameSpace.base class ^ "_" ^ tyco_base ^ "_inst";
val c_inst_base = NameSpace.base c ^ "_" ^ tyco_base;
in
thy
|> Sign.sticky_prefix name_inst
|> PureThy.simple_def ("", [])
(((c_inst_base, ty, Syntax.NoSyn), []), Const (c, ty))
|-> (fn (c_inst, thm) => add_inst (c, tyco) (c_inst, symmetric thm))
|> Sign.restore_naming thy
end;
fun add_inst_def' (class, tyco) (c, ty) thy =
if case Symtab.lookup (fst (InstData.get thy)) c
of NONE => true
| SOME tab => is_none (Symtab.lookup tab tyco)
then add_inst_def (class, tyco) (c, Logic.unvarifyT ty) thy
else thy;
fun add_def ((class, tyco), ((name, prop), atts)) thy =
let
val ((lhs as Const (c, ty), args), rhs) =
(apfst Term.strip_comb o Logic.dest_equals) prop;
fun (*add_inst' def ([], (Const (c_inst, ty))) =
if forall (fn TFree _ => true | _ => false) (Sign.const_typargs thy (c_inst, ty))
then add_inst (c, tyco) (c_inst, def)
else add_inst_def (class, tyco) (c, ty)
|*) add_inst' _ t = add_inst_def (class, tyco) (c, ty);
in
thy
|> PureThy.add_defs_i true [((name, prop), map (Attrib.attribute thy) atts)]
|-> (fn [def] => add_inst' def (args, rhs) #> pair def)
end;
(** instances with implicit parameter handling **)
local
fun gen_read_def thy prep_att parse_prop ((raw_name, raw_atts), raw_t) =
let
val ctxt = ProofContext.init thy;
val t = parse_prop ctxt raw_t |> Syntax.check_prop ctxt;
val ((c, ty), _) = Sign.cert_def (Sign.pp thy) t;
val atts = map (prep_att thy) raw_atts;
val insts = Consts.typargs (Sign.consts_of thy) (c, ty);
val name = case raw_name
of "" => NONE
| _ => SOME raw_name;
in (c, (insts, ((name, t), atts))) end;
fun read_def_cmd thy = gen_read_def thy Attrib.intern_src Syntax.parse_prop;
fun read_def thy = gen_read_def thy (K I) (K I);
fun gen_instance prep_arity read_def do_proof raw_arities raw_defs after_qed theory =
let
val arities = map (prep_arity theory) raw_arities;
val _ = if null arities then error "at least one arity must be given" else ();
val _ = case (duplicates (op =) o map #1) arities
of [] => ()
| dupl_tycos => error ("type constructors occur more than once in arities: "
^ (commas o map quote) dupl_tycos);
val super_sort =
(Graph.all_succs o #classes o Sorts.rep_algebra o Sign.classes_of) theory;
fun get_consts_class tyco ty class =
let
val cs = (these o Option.map snd o try (AxClass.params_of_class theory)) class;
val subst_ty = map_type_tfree (K ty);
in
map (fn (c, ty) => (c, ((class, tyco), subst_ty ty))) cs
end;
fun get_consts_sort (tyco, asorts, sort) =
let
val ty = Type (tyco, map (fn (v, sort) => TVar ((v, 0), sort))
(Name.names Name.context "'a" asorts))
in maps (get_consts_class tyco ty) (super_sort sort) end;
val cs = maps get_consts_sort arities;
fun mk_typnorm thy (ty, ty_sc) =
case try (Sign.typ_match thy (Logic.varifyT ty_sc, ty)) Vartab.empty
of SOME env => SOME (Logic.varifyT #> Envir.typ_subst_TVars env #> Logic.unvarifyT)
| NONE => NONE;
fun read_defs defs cs thy_read =
let
fun read raw_def cs =
let
val (c, (inst, ((name_opt, t), atts))) = read_def thy_read raw_def;
val ty = Consts.instance (Sign.consts_of thy_read) (c, inst);
val ((class, tyco), ty') = case AList.lookup (op =) cs c
of NONE => error ("illegal definition for constant " ^ quote c)
| SOME class_ty => class_ty;
val name = case name_opt
of NONE => Thm.def_name (Logic.name_arity (tyco, [], c))
| SOME name => name;
val t' = case mk_typnorm thy_read (ty', ty)
of NONE => error ("illegal definition for constant " ^
quote (c ^ "::" ^ setmp show_sorts true
(Sign.string_of_typ thy_read) ty))
| SOME norm => map_types norm t
in (((class, tyco), ((name, t'), atts)), AList.delete (op =) c cs) end;
in fold_map read defs cs end;
val (defs, other_cs) = read_defs raw_defs cs
(fold Sign.primitive_arity arities (Theory.copy theory));
fun after_qed' cs defs =
fold Sign.add_const_constraint_i (map (apsnd SOME) cs)
#> after_qed defs;
in
theory
|> fold_map get_remove_contraint (map fst cs |> distinct (op =))
||>> fold_map add_def defs
||> fold (fn (c, ((class, tyco), ty)) => add_inst_def' (class, tyco) (c, ty)) other_cs
|-> (fn (cs, defs) => do_proof (after_qed' cs defs) arities defs)
end;
fun tactic_proof tac f arities defs =
fold (fn arity => AxClass.prove_arity arity tac) arities
#> f
#> pair defs;
in
val instance = gen_instance Sign.cert_arity read_def
(fn f => fn arities => fn defs => instance_arity f arities);
val instance_cmd = gen_instance Sign.read_arity read_def_cmd
(fn f => fn arities => fn defs => instance_arity f arities);
fun prove_instance tac arities defs =
gen_instance Sign.cert_arity read_def
(tactic_proof tac) arities defs (K I);
end; (*local*)
(** class data **)
datatype class_data = ClassData of {
locale: string,
consts: (string * string) list
(*locale parameter ~> theory constant name*),
v: string,
inst: typ Symtab.table * term Symtab.table
(*canonical interpretation*),
intro: thm,
defs: thm list,
localized: (string * (term * (class * int))) list
(*theory constant name ~> (locale parameter, (class, instantiaton index of class typ))*)
};
fun rep_class_data (ClassData d) = d;
fun mk_class_data ((locale, consts, v, inst, intro), (defs, localized)) =
ClassData { locale = locale, consts = consts, v = v, inst = inst, intro = intro,
defs = defs, localized = localized };
fun map_class_data f (ClassData { locale, consts, v, inst, intro, defs, localized }) =
mk_class_data (f ((locale, consts, v, inst, intro), (defs, localized)))
fun merge_class_data _ (ClassData { locale = locale, consts = consts, v = v, inst = inst,
intro = intro, defs = defs1, localized = localized1 },
ClassData { locale = _, consts = _, v = _, inst = _, intro = _,
defs = defs2, localized = localized2 }) =
mk_class_data ((locale, consts, v, inst, intro),
(Thm.merge_thms (defs1, defs2), AList.merge (op =) (K true) (localized1, localized2)));
fun merge_pair f1 f2 ((x1, y1), (x2, y2)) = (f1 (x1, x2), f2 (y1, y2));
structure ClassData = TheoryDataFun
(
type T = class_data Graph.T * class Symtab.table
(*locale name ~> class name*);
val empty = (Graph.empty, Symtab.empty);
val copy = I;
val extend = I;
fun merge _ = merge_pair (Graph.join merge_class_data) (Symtab.merge (K true));
);
(* queries *)
val lookup_class_data = Option.map rep_class_data oo try o Graph.get_node
o fst o ClassData.get;
fun class_of_locale thy = Symtab.lookup ((snd o ClassData.get) thy);
fun the_class_data thy class = case lookup_class_data thy class
of NONE => error ("undeclared class " ^ quote class)
| SOME data => data;
val ancestry = Graph.all_succs o fst o ClassData.get;
fun params_of_sort thy =
let
fun params class =
let
val const_typs = (#params o AxClass.get_definition thy) class;
val const_names = (#consts o the_class_data thy) class;
in
(map o apsnd) (fn c => (c, (the o AList.lookup (op =) const_typs) c)) const_names
end;
in maps params o ancestry thy end;
fun these_defs thy = maps (these o Option.map #defs o lookup_class_data thy) o ancestry thy;
fun these_intros thy =
Graph.fold (fn (_, (data, _)) => insert Thm.eq_thm ((#intro o rep_class_data) data))
((fst o ClassData.get) thy) [];
fun these_localized thy class =
maps (#localized o the_class_data thy) (ancestry thy [class]);
fun local_param thy = AList.lookup (op =) o these_localized thy;
fun print_classes thy =
let
val algebra = Sign.classes_of thy;
val arities =
Symtab.empty
|> Symtab.fold (fn (tyco, arities) => fold (fn (class, _) =>
Symtab.map_default (class, []) (insert (op =) tyco)) arities)
((#arities o Sorts.rep_algebra) algebra);
val the_arities = these o Symtab.lookup arities;
fun mk_arity class tyco =
let
val Ss = Sorts.mg_domain algebra tyco [class];
in Sign.pretty_arity thy (tyco, Ss, [class]) end;
fun mk_param (c, ty) = Pretty.str (Sign.extern_const thy c ^ " :: "
^ setmp show_sorts false (Sign.string_of_typ thy o Type.strip_sorts) ty);
fun mk_entry class = (Pretty.block o Pretty.fbreaks o map_filter I) [
(SOME o Pretty.str) ("class " ^ class ^ ":"),
(SOME o Pretty.block) [Pretty.str "supersort: ",
(Sign.pretty_sort thy o Sign.certify_sort thy o Sign.super_classes thy) class],
Option.map (Pretty.str o prefix "locale: " o #locale) (lookup_class_data thy class),
((fn [] => NONE | ps => (SOME o Pretty.block o Pretty.fbreaks) (Pretty.str "parameters:" :: ps)) o map mk_param
o these o Option.map #params o try (AxClass.get_definition thy)) class,
(SOME o Pretty.block o Pretty.breaks) [
Pretty.str "instances:",
Pretty.list "" "" (map (mk_arity class) (the_arities class))
]
]
in
(Pretty.writeln o Pretty.chunks o separate (Pretty.str "")
o map mk_entry o Sorts.all_classes) algebra
end;
(* updaters *)
fun add_class_data ((class, superclasses), (locale, consts, v, inst, intro)) =
ClassData.map (fn (gr, tab) => (
gr
|> Graph.new_node (class, mk_class_data ((locale, (map o apfst) fst consts, v, inst, intro),
([], map (apsnd (rpair (class, 0) o Free) o swap) consts)))
|> fold (curry Graph.add_edge class) superclasses,
tab
|> Symtab.update (locale, class)
));
fun add_class_const_def (class, (entry, def)) =
(ClassData.map o apfst o Graph.map_node class o map_class_data o apsnd)
(fn (defs, localized) => (def :: defs, (apsnd o apsnd) (pair class) entry :: localized));
(** rule calculation, tactics and methods **)
fun class_intro thy locale class sups =
let
fun class_elim class =
case (map Drule.unconstrainTs o #axioms o AxClass.get_definition thy) class
of [thm] => SOME thm
| [] => NONE;
val pred_intro = case Locale.intros thy locale
of ([ax_intro], [intro]) => intro |> OF_LAST ax_intro |> SOME
| ([intro], []) => SOME intro
| ([], [intro]) => SOME intro
| _ => NONE;
val pred_intro' = pred_intro
|> Option.map (fn intro => intro OF map_filter class_elim sups);
val class_intro = (#intro o AxClass.get_definition thy) class;
val raw_intro = case pred_intro'
of SOME pred_intro => class_intro |> OF_LAST pred_intro
| NONE => class_intro;
val sort = Sign.super_classes thy class;
val typ = TVar ((AxClass.param_tyvarname, 0), sort);
val defs = these_defs thy sups;
in
raw_intro
|> Drule.instantiate' [SOME (Thm.ctyp_of thy typ)] []
|> strip_all_ofclass thy sort
|> Thm.strip_shyps
|> MetaSimplifier.rewrite_rule defs
|> Drule.unconstrainTs
end;
fun class_interpretation class facts defs thy =
let
val { locale, inst, ... } = the_class_data thy class;
val tac = (ALLGOALS o ProofContext.fact_tac) facts;
val prfx = Logic.const_of_class (NameSpace.base class);
in
prove_interpretation tac ((false, prfx), []) (Locale.Locale locale)
(inst, defs) thy
end;
fun interpretation_in_rule thy (class1, class2) =
let
fun mk_axioms class =
let
val { locale, inst = (_, insttab), ... } = the_class_data thy class;
in
Locale.global_asms_of thy locale
|> maps snd
|> (map o map_aterms) (fn Free (s, _) => (the o Symtab.lookup insttab) s | t => t)
|> (map o map_types o map_atyps) (fn TFree _ => TFree ("'a", [class1]) | T => T)
|> map (ObjectLogic.ensure_propT thy)
end;
val (prems, concls) = pairself mk_axioms (class1, class2);
in
Goal.prove_global thy [] prems (Logic.mk_conjunction_list concls)
(Locale.intro_locales_tac true (ProofContext.init thy))
end;
fun intro_classes_tac facts st =
let
val thy = Thm.theory_of_thm st;
val classes = Sign.all_classes thy;
val class_trivs = map (Thm.class_triv thy) classes;
val class_intros = these_intros thy;
fun add_axclass_intro class =
case try (AxClass.get_definition thy) class of SOME {intro, ...} => cons intro | _ => I;
val axclass_intros = fold add_axclass_intro classes [];
in
st
|> ((ALLGOALS (Method.insert_tac facts THEN'
REPEAT_ALL_NEW (resolve_tac (class_trivs @ class_intros @ axclass_intros))))
THEN Tactic.distinct_subgoals_tac)
end;
fun default_intro_classes_tac [] = intro_classes_tac []
| default_intro_classes_tac _ = Tactical.no_tac; (*no error message!*)
fun default_tac rules ctxt facts =
HEADGOAL (Method.some_rule_tac rules ctxt facts) ORELSE
default_intro_classes_tac facts;
val _ = Context.add_setup (Method.add_methods
[("intro_classes", Method.no_args (Method.METHOD intro_classes_tac),
"back-chain introduction rules of classes"),
("default", Method.thms_ctxt_args (Method.METHOD oo default_tac),
"apply some intro/elim rule")]);
(** classes and class target **)
(* class definition *)
local
fun read_param thy raw_t = (* FIXME ProofContext.read_const (!?) *)
let
val t = Syntax.read_term_global thy raw_t
in case try dest_Const t
of SOME (c, _) => c
| NONE => error ("Not a constant: " ^ Sign.string_of_term thy t)
end;
fun gen_class add_locale prep_class prep_param bname
raw_supclasses raw_elems raw_other_consts thy =
let
fun mk_instT class = Symtab.empty
|> Symtab.update (AxClass.param_tyvarname, TFree (AxClass.param_tyvarname, [class]));
fun mk_inst class param_names cs =
Symtab.empty
|> fold2 (fn v => fn (c, ty) => Symtab.update (v, Const
(c, Term.map_type_tfree (fn (v, _) => TFree (v, [class])) ty))) param_names cs;
(*FIXME need proper concept for reading locale statements*)
fun subst_classtyvar (_, _) =
TFree (AxClass.param_tyvarname, [])
| subst_classtyvar (v, sort) =
error ("Sort constraint illegal in type class, for type variable "
^ v ^ "::" ^ Sign.string_of_sort thy sort);
(*val subst_classtyvars = Element.map_ctxt {name = I, var = I, term = I,
typ = Term.map_type_tfree subst_classtyvar, fact = I, attrib = I};*)
val other_consts = map (prep_param thy) raw_other_consts;
val (elems, includes) = fold_rev (fn Locale.Elem e => apfst (cons e)
| Locale.Expr i => apsnd (cons i)) raw_elems ([], []);
val supclasses = map (prep_class thy) raw_supclasses;
val sups = filter (is_some o lookup_class_data thy) supclasses
|> Sign.certify_sort thy;
val supsort = Sign.certify_sort thy supclasses;
val suplocales = map (Locale.Locale o #locale o the_class_data thy) sups;
val supexpr = Locale.Merge (suplocales @ includes);
val supparams = (map fst o Locale.parameters_of_expr thy)
(Locale.Merge suplocales);
val supconsts = AList.make (the o AList.lookup (op =) (params_of_sort thy sups))
(map fst supparams);
(*val elems_constrains = map
(Element.Constrains o apsnd (Term.map_type_tfree subst_classtyvar)) supparams;*)
fun mk_tyvar (_, sort) = TFree (AxClass.param_tyvarname,
if Sign.subsort thy (supsort, sort) then sort else error
("Sort " ^ Sign.string_of_sort thy sort
^ " is less general than permitted least general sort "
^ Sign.string_of_sort thy supsort));
fun extract_params thy name_locale =
let
val params = Locale.parameters_of thy name_locale;
val v = case (maps typ_tfrees o map (snd o fst)) params
of (v, _) :: _ => v
| [] => AxClass.param_tyvarname;
in
(v, (map fst params, params
|> (map o apfst o apsnd o Term.map_type_tfree) mk_tyvar
|> (map o apsnd) (fork_mixfix true NONE #> fst)
|> chop (length supconsts)
|> snd))
end;
fun extract_assumes name_locale params thy cs =
let
val consts = supconsts @ (map (fst o fst) params ~~ cs);
fun subst (Free (c, ty)) =
Const ((fst o the o AList.lookup (op =) consts) c, ty)
| subst t = t;
fun prep_asm ((name, atts), ts) =
((NameSpace.base name, map (Attrib.attribute thy) atts),
(map o map_aterms) subst ts);
in
Locale.global_asms_of thy name_locale
|> map prep_asm
end;
fun note_intro name_axclass class_intro =
PureThy.note_thmss_qualified "" ((Logic.const_of_class o NameSpace.base) name_axclass)
[(("intro", []), [([class_intro], [])])]
#> snd
in
thy
|> add_locale (SOME "") bname supexpr ((*elems_constrains @*) elems)
|-> (fn name_locale => ProofContext.theory_result (
`(fn thy => extract_params thy name_locale)
#-> (fn (v, (globals, params)) =>
AxClass.define_class_params (bname, supsort) params
(extract_assumes name_locale params) other_consts
#-> (fn (name_axclass, (consts, axioms)) =>
`(fn thy => class_intro thy name_locale name_axclass sups)
#-> (fn class_intro =>
add_class_data ((name_axclass, sups),
(name_locale, map fst params ~~ map fst consts, v,
(mk_instT name_axclass, mk_inst name_axclass (map fst globals)
(map snd supconsts @ consts)), class_intro))
#> note_intro name_axclass class_intro
#> class_interpretation name_axclass axioms []
#> pair name_axclass
)))))
end;
in
val class_cmd = gen_class Locale.add_locale Sign.intern_class read_param;
val class = gen_class Locale.add_locale_i Sign.certify_class (K I);
end; (*local*)
(* class target context *)
fun remove_constraints class thy =
thy |> fold_map (get_remove_contraint o fst) (these_localized thy class);
(* definition in class target *)
fun export_fixes thy class =
let
val consts = params_of_sort thy [class];
fun subst_aterm (t as Free (v, ty)) = (case AList.lookup (op =) consts v
of SOME (c, _) => Const (c, ty)
| NONE => t)
| subst_aterm t = t;
in Term.map_aterms subst_aterm end;
fun add_const_in_class class ((c, rhs), syn) thy =
let
val prfx = (Logic.const_of_class o NameSpace.base) class;
fun mk_name c =
let
val n1 = Sign.full_name thy c;
val n2 = NameSpace.qualifier n1;
val n3 = NameSpace.base n1;
in NameSpace.implode [n2, prfx, n3] end;
val v = (#v o the_class_data thy) class;
val constrain_sort = curry (Sorts.inter_sort (Sign.classes_of thy)) [class];
val subst_typ = Term.map_type_tfree (fn var as (w, sort) =>
if w = v then TFree (w, constrain_sort sort) else TFree var);
val rhs' = export_fixes thy class rhs;
val ty' = Term.fastype_of rhs';
val ty'' = subst_typ ty';
val c' = mk_name c;
val def = (c, Logic.mk_equals (Const (c', ty'), rhs'));
val (syn', _) = fork_mixfix true NONE syn;
fun interpret def thy =
let
val def' = symmetric def;
val def_eq = Thm.prop_of def';
val typargs = Sign.const_typargs thy (c', fastype_of rhs);
val typidx = find_index (fn TFree (w, _) => v = w | _ => false) typargs;
in
thy
|> class_interpretation class [def'] [def_eq]
|> add_class_const_def (class, ((c', (rhs, typidx)), def'))
end;
in
thy
|> Sign.add_path prfx
|> Sign.add_consts_authentic [(c, ty', syn')]
|> Sign.parent_path
|> Sign.sticky_prefix prfx
|> PureThy.add_defs_i false [(def, [])]
|-> (fn [def] => interpret def)
|> Sign.add_const_constraint_i (c', SOME ty'')
|> Sign.restore_naming thy
end;
(* interpretation in class target *)
local
fun gen_interpretation_in_class prep_class do_proof (raw_class, raw_superclass) theory =
let
val class = prep_class theory raw_class;
val superclass = prep_class theory raw_superclass;
val loc_name = (#locale o the_class_data theory) class;
val loc_expr = (Locale.Locale o #locale o the_class_data theory) superclass;
fun prove_classrel (class, superclass) thy =
let
val classes = (Graph.all_succs o #classes o Sorts.rep_algebra
o Sign.classes_of) thy [superclass]
|> filter_out (fn class' => Sign.subsort thy ([class], [class']));
fun instance_subclass (class1, class2) thy =
let
val interp = interpretation_in_rule thy (class1, class2);
val ax = #axioms (AxClass.get_definition thy class1);
val intro = #intro (AxClass.get_definition thy class2)
|> Drule.instantiate' [SOME (Thm.ctyp_of thy
(TVar ((AxClass.param_tyvarname, 0), [class1])))] [];
val thm =
intro
|> OF_LAST (interp OF ax)
|> strip_all_ofclass thy (Sign.super_classes thy class2);
in
thy |> AxClass.add_classrel thm
end;
in
thy |> fold_rev (curry instance_subclass class) classes
end;
in
theory
|> do_proof (prove_classrel (class, superclass)) (loc_name, loc_expr)
end;
in
val interpretation_in_class = gen_interpretation_in_class Sign.certify_class
(Locale.interpretation_in_locale o ProofContext.theory);
val interpretation_in_class_cmd = gen_interpretation_in_class Sign.read_class
(Locale.interpretation_in_locale o ProofContext.theory);
val prove_interpretation_in_class = gen_interpretation_in_class Sign.certify_class
o prove_interpretation_in;
end; (*local*)
(*experimental*)
fun class_term_check thy class =
let
val algebra = Sign.classes_of thy;
val { v, ... } = the_class_data thy class;
fun add_constrain_classtyp sort' (ty as TFree (v, _)) =
AList.map_default (op =) (v, []) (curry (Sorts.inter_sort algebra) sort')
| add_constrain_classtyp sort' (Type (tyco, tys)) = case Sorts.mg_domain algebra tyco sort'
of sorts => fold2 add_constrain_classtyp sorts tys;
fun class_arg c idx ty =
let
val typargs = Sign.const_typargs thy (c, ty);
fun classtyp (t as TFree (w, _)) = if w = v then NONE else SOME t
| classtyp t = SOME t;
in classtyp (nth typargs idx) end;
fun add_inst (c, ty) (terminsts, typinsts) = case local_param thy class c
of NONE => (terminsts, typinsts)
| SOME (t, (class', idx)) => (case class_arg c idx ty
of NONE => (((c, ty), t) :: terminsts, typinsts)
| SOME ty => (terminsts, add_constrain_classtyp [class'] ty typinsts));
in pair o (fn ts => let
val cs = (fold o fold_aterms) (fn Const c_ty => insert (op =) c_ty | _ => I) ts [];
val (terminsts, typinsts) = fold add_inst cs ([], []);
in
ts
|> (map o map_aterms) (fn t as Const c_ty => the_default t (AList.lookup (op =) terminsts c_ty)
| t => t)
|> (map o map_types o map_atyps) (fn t as TFree (v, sort) =>
case AList.lookup (op =) typinsts v
of SOME sort' => TFree (v, Sorts.inter_sort algebra (sort, sort'))
| NONE => t)
end) end;
val init_ref = ref (K (pair I) : class -> Proof.context -> (theory -> theory) * Proof.context);
fun init class = ! init_ref class;
fun init_default class ctxt =
let
val thy = ProofContext.theory_of ctxt;
val term_check = class_term_check thy class;
in
ctxt
(*|> ProofContext.theory_result (remove_constraints class)*)
|> Context.proof_map (Syntax.add_term_check term_check)
(*|>> fold (fn (c, ty) => Sign.add_const_constraint_i (c, SOME ty))*)
|> pair I
end;
end;