author | berghofe |
Fri, 05 Mar 1999 12:11:54 +0100 | |
changeset 6305 | 4cbdb974220c |
parent 6103 | 36f272ea9413 |
child 6360 | 83573ae0f22c |
permissions | -rw-r--r-- |
5177 | 1 |
(* Title: HOL/Tools/datatype_package.ML |
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ID: $Id$ |
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Author: Stefan Berghofer |
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Copyright 1998 TU Muenchen |
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Datatype package for Isabelle/HOL |
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*) |
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signature DATATYPE_PACKAGE = |
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sig |
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val quiet_mode : bool ref |
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val add_datatype : bool -> string list -> (string list * bstring * mixfix * |
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(bstring * string list * mixfix) list) list -> theory -> theory * |
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{distinct : thm list list, |
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inject : thm list list, |
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exhaustion : thm list, |
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rec_thms : thm list, |
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case_thms : thm list list, |
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split_thms : (thm * thm) list, |
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induction : thm, |
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size : thm list, |
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simps : thm list} |
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val add_datatype_i : bool -> string list -> (string list * bstring * mixfix * |
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(bstring * typ list * mixfix) list) list -> theory -> theory * |
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{distinct : thm list list, |
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inject : thm list list, |
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exhaustion : thm list, |
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rec_thms : thm list, |
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case_thms : thm list list, |
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split_thms : (thm * thm) list, |
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induction : thm, |
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size : thm list, |
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simps : thm list} |
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val rep_datatype : string list option -> thm list list -> |
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thm list list -> thm -> theory -> theory * |
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{distinct : thm list list, |
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inject : thm list list, |
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exhaustion : thm list, |
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rec_thms : thm list, |
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case_thms : thm list list, |
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split_thms : (thm * thm) list, |
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induction : thm, |
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size : thm list, |
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simps : thm list} |
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val setup: (theory -> theory) list |
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val get_datatypes : theory -> DatatypeAux.datatype_info Symtab.table |
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val datatype_info_sg : Sign.sg -> string -> DatatypeAux.datatype_info |
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val datatype_info : theory -> string -> DatatypeAux.datatype_info |
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val constrs_of : theory -> string -> term list option |
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val case_const_of : theory -> string -> term option |
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val mutual_induct_tac : string list -> int -> tactic |
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val induct_tac : string -> int -> tactic |
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val exhaust_tac : string -> int -> tactic |
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end; |
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structure DatatypePackage : DATATYPE_PACKAGE = |
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struct |
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open DatatypeAux; |
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val quiet_mode = quiet_mode; |
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(* data kind 'HOL/datatypes' *) |
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structure DatatypesArgs = |
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struct |
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val name = "HOL/datatypes"; |
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type T = datatype_info Symtab.table; |
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val empty = Symtab.empty; |
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val prep_ext = I; |
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val merge: T * T -> T = Symtab.merge (K true); |
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fun print sg tab = |
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Pretty.writeln (Pretty.strs ("datatypes:" :: |
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map (Sign.cond_extern sg Sign.typeK o fst) (Symtab.dest tab))); |
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end; |
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structure DatatypesData = TheoryDataFun(DatatypesArgs); |
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val get_datatypes_sg = DatatypesData.get_sg; |
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val get_datatypes = DatatypesData.get; |
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val put_datatypes = DatatypesData.put; |
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(* setup *) |
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val setup = [DatatypesData.init]; |
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(** theory information about datatypes **) |
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fun datatype_info_sg sg name = |
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(case Symtab.lookup (get_datatypes_sg sg, name) of |
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Some info => info |
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| None => error ("Unknown datatype " ^ quote name)); |
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val datatype_info = datatype_info_sg o sign_of; |
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fun constrs_of thy tname = |
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let |
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val {index, descr, ...} = datatype_info thy tname; |
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val (_, _, constrs) = the (assoc (descr, index)) |
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in |
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Some (map (fn (cname, _) => |
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Const (cname, the (Sign.const_type (sign_of thy) cname))) constrs) |
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end handle _ => None; |
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fun case_const_of thy tname = |
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let |
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val {case_name, ...} = datatype_info thy tname; |
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in |
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Some (Const (case_name, the (Sign.const_type (sign_of thy) case_name))) |
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end handle _ => None; |
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fun find_tname var Bi = |
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let val frees = map dest_Free (term_frees Bi) |
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val params = Logic.strip_params Bi; |
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in case assoc (frees @ params, var) of |
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None => error ("No such variable in subgoal: " ^ quote var) |
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| Some(Type (tn, _)) => tn |
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| _ => error ("Cannot determine type of " ^ quote var) |
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end; |
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fun infer_tname state sign i aterm = |
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let |
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val (_, _, Bi, _) = dest_state (state, i) |
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val params = Logic.strip_params Bi; (*params of subgoal i*) |
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val params = rev (rename_wrt_term Bi params); (*as they are printed*) |
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val (types, sorts) = types_sorts state; |
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fun types' (a, ~1) = (case assoc (params, a) of None => types(a, ~1) | sm => sm) |
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| types' ixn = types ixn; |
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val (ct, _) = read_def_cterm (sign, types', sorts) [] false |
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(aterm, TVar (("", 0), [])); |
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in case #T (rep_cterm ct) of |
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Type (tn, _) => tn |
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| _ => error ("Cannot determine type of " ^ quote aterm) |
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end; |
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(*Warn if the (induction) variable occurs Free among the premises, which |
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usually signals a mistake. But calls the tactic either way!*) |
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fun occs_in_prems tacf vars = |
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SUBGOAL (fn (Bi, i) => |
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(if exists (fn Free (a, _) => a mem vars) |
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(foldr add_term_frees (#2 (strip_context Bi), [])) |
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then warning "Induction variable occurs also among premises!" |
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else (); |
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tacf i)); |
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(* generic induction tactic for datatypes *) |
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fun mutual_induct_tac vars i state = |
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let |
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val (_, _, Bi, _) = dest_state (state, i); |
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val {sign, ...} = rep_thm state; |
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val tn = find_tname (hd vars) Bi; |
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val {induction, ...} = datatype_info_sg sign tn; |
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val ind_vnames = map (fn (_ $ Var (ixn, _)) => |
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implode (tl (explode (Syntax.string_of_vname ixn)))) |
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(dest_conj (HOLogic.dest_Trueprop (concl_of induction))); |
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val insts = (ind_vnames ~~ vars) handle _ => |
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error ("Induction rule for type " ^ tn ^ " has different number of variables") |
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in |
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occs_in_prems (res_inst_tac insts induction) vars i state |
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end; |
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fun induct_tac var = mutual_induct_tac [var]; |
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(* generic exhaustion tactic for datatypes *) |
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fun exhaust_tac aterm i state = |
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let |
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val {sign, ...} = rep_thm state; |
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val tn = infer_tname state sign i aterm; |
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val {exhaustion, ...} = datatype_info_sg sign tn; |
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val _ $ Var (ixn, _) $ _ = HOLogic.dest_Trueprop |
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(hd (Logic.strip_assums_hyp (hd (prems_of exhaustion)))); |
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val exh_vname = implode (tl (explode (Syntax.string_of_vname ixn))) |
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in |
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res_inst_tac [(exh_vname, aterm)] exhaustion i state |
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end; |
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(* prepare types *) |
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fun read_typ sign ((Ts, sorts), str) = |
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let |
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val T = Type.no_tvars (Sign.read_typ (sign, (curry assoc) |
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(map (apfst (rpair ~1)) sorts)) str) handle TYPE (msg, _, _) => error msg |
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in (Ts @ [T], add_typ_tfrees (T, sorts)) end; |
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fun cert_typ sign ((Ts, sorts), raw_T) = |
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let |
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val T = Type.no_tvars (Sign.certify_typ sign raw_T) handle |
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TYPE (msg, _, _) => error msg; |
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val sorts' = add_typ_tfrees (T, sorts) |
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in (Ts @ [T], |
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case duplicates (map fst sorts') of |
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[] => sorts' |
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| dups => error ("Inconsistent sort constraints for " ^ commas dups)) |
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end; |
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(**** make datatype info ****) |
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fun make_dt_info descr induct reccomb_names rec_thms |
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((((((((i, (_, (tname, _, _))), case_name), case_thms), |
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exhaustion_thm), distinct_thm), inject), nchotomy), case_cong) = (tname, |
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{index = i, |
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descr = descr, |
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rec_names = reccomb_names, |
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rec_rewrites = rec_thms, |
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case_name = case_name, |
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case_rewrites = case_thms, |
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induction = induct, |
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exhaustion = exhaustion_thm, |
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distinct = distinct_thm, |
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inject = inject, |
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nchotomy = nchotomy, |
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case_cong = case_cong}); |
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fun store_clasimp thy (cla, simp) = |
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(claset_ref_of thy := cla; simpset_ref_of thy := simp); |
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infix 4 addDistinct; |
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fun clasimp addDistinct ([], _) = clasimp |
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| clasimp addDistinct (thms::thmss, (_, (_, _, constrs))::descr) = |
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if length constrs < DatatypeProp.dtK then |
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clasimp addIffs thms addDistinct (thmss, descr) |
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else |
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clasimp addsimps2 thms addDistinct (thmss, descr); |
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(********************* axiomatic introduction of datatypes ********************) |
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fun add_and_get_axioms label tnames ts thy = |
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foldr (fn ((tname, t), (thy', axs)) => |
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let |
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val thy'' = thy' |> |
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Theory.add_path tname |> |
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PureThy.add_axioms_i [((label, t), [])]; |
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val ax = get_axiom thy'' label |
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in (Theory.parent_path thy'', ax::axs) |
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end) (tnames ~~ ts, (thy, [])); |
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fun add_and_get_axiomss label tnames tss thy = |
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foldr (fn ((tname, ts), (thy', axss)) => |
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let |
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val thy'' = thy' |> |
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Theory.add_path tname |> |
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PureThy.add_axiomss_i [((label, ts), [])]; |
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val axs = PureThy.get_thms thy'' label |
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in (Theory.parent_path thy'', axs::axss) |
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end) (tnames ~~ tss, (thy, [])); |
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fun add_datatype_axm flat_names new_type_names descr sorts types_syntax constr_syntax dt_info thy = |
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let |
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val descr' = flat descr; |
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val recTs = get_rec_types descr' sorts; |
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5578
7de426cf179c
Package now chooses type variable names more carefully to
berghofe
parents:
5279
diff
changeset
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val used = foldr add_typ_tfree_names (recTs, []); |
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val newTs = take (length (hd descr), recTs); |
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5661 | 261 |
val _ = message ("Adding axioms for datatype(s) " ^ commas new_type_names); |
5177 | 262 |
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(**** declare new types and constants ****) |
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val tyvars = map (fn (_, (_, Ts, _)) => map dest_DtTFree Ts) (hd descr); |
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val constr_decls = map (fn (((_, (_, _, constrs)), T), constr_syntax') => |
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map (fn ((_, cargs), (cname, mx)) => |
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(cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx)) |
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(constrs ~~ constr_syntax')) ((hd descr) ~~ newTs ~~ constr_syntax); |
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5578
7de426cf179c
Package now chooses type variable names more carefully to
berghofe
parents:
5279
diff
changeset
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val rec_result_Ts = map TFree (variantlist (replicate (length descr') "'t", used) ~~ |
7de426cf179c
Package now chooses type variable names more carefully to
berghofe
parents:
5279
diff
changeset
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replicate (length descr') HOLogic.termS); |
5177 | 274 |
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val reccomb_fn_Ts = flat (map (fn (i, (_, _, constrs)) => |
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map (fn (_, cargs) => |
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let |
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val recs = filter is_rec_type cargs; |
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val argTs = (map (typ_of_dtyp descr' sorts) cargs) @ |
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(map (fn r => nth_elem (dest_DtRec r, rec_result_Ts)) recs) |
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in argTs ---> nth_elem (i, rec_result_Ts) |
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end) constrs) descr'); |
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val big_reccomb_name = (space_implode "_" new_type_names) ^ "_rec"; |
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val reccomb_names = if length descr' = 1 then [big_reccomb_name] else |
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(map ((curry (op ^) (big_reccomb_name ^ "_")) o string_of_int) |
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(1 upto (length descr'))); |
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val big_size_name = space_implode "_" new_type_names ^ "_size"; |
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val size_names = if length (flat (tl descr)) = 1 then [big_size_name] else |
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map (fn i => big_size_name ^ "_" ^ string_of_int i) |
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(1 upto length (flat (tl descr))); |
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||
5578
7de426cf179c
Package now chooses type variable names more carefully to
berghofe
parents:
5279
diff
changeset
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val freeT = TFree (variant used "'t", HOLogic.termS); |
5177 | 295 |
val case_fn_Ts = map (fn (i, (_, _, constrs)) => |
296 |
map (fn (_, cargs) => |
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let val Ts = map (typ_of_dtyp descr' sorts) cargs |
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in Ts ---> freeT end) constrs) (hd descr); |
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299 |
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300 |
val case_names = map (fn s => (s ^ "_case")) new_type_names; |
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301 |
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6305 | 302 |
val thy2' = thy |> |
5177 | 303 |
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(** new types **) |
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305 |
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306 |
curry (foldr (fn (((name, mx), tvs), thy') => thy' |> |
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PureThy.add_typedecls [(name, tvs, mx)] |> |
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Theory.add_arities_i |
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[(Sign.full_name (sign_of thy') (Syntax.type_name name mx), |
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replicate (length tvs) HOLogic.termS, HOLogic.termS)])) |
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(types_syntax ~~ tyvars) |> |
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312 |
||
5661 | 313 |
add_path flat_names (space_implode "_" new_type_names) |> |
5177 | 314 |
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(** primrec combinators **) |
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316 |
||
317 |
Theory.add_consts_i (map (fn ((name, T), T') => |
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318 |
(name, reccomb_fn_Ts @ [T] ---> T', NoSyn)) |
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319 |
(reccomb_names ~~ recTs ~~ rec_result_Ts)) |> |
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320 |
||
321 |
(** case combinators **) |
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322 |
||
323 |
Theory.add_consts_i (map (fn ((name, T), Ts) => |
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324 |
(name, Ts @ [T] ---> freeT, NoSyn)) |
|
325 |
(case_names ~~ newTs ~~ case_fn_Ts)) |> |
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6305 | 326 |
Theory.add_trrules_i (DatatypeProp.make_case_trrules new_type_names descr); |
327 |
||
328 |
val reccomb_names' = map (Sign.intern_const (sign_of thy2')) reccomb_names; |
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329 |
val case_names' = map (Sign.intern_const (sign_of thy2')) case_names; |
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330 |
||
331 |
val thy2 = thy2' |> |
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5177 | 332 |
|
333 |
(** t_ord functions **) |
|
334 |
||
335 |
Theory.add_consts_i |
|
336 |
(foldr (fn ((((_, (_, _, constrs)), tname), T), decls) => |
|
337 |
if length constrs < DatatypeProp.dtK then decls |
|
338 |
else (tname ^ "_ord", T --> HOLogic.natT, NoSyn)::decls) |
|
339 |
((hd descr) ~~ new_type_names ~~ newTs, [])) |> |
|
340 |
||
341 |
(** size functions **) |
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342 |
||
343 |
Theory.add_consts_i (map (fn (s, T) => |
|
344 |
(Sign.base_name s, T --> HOLogic.natT, NoSyn)) |
|
5661 | 345 |
(size_names ~~ drop (length (hd descr), recTs))) |> |
346 |
||
347 |
(** constructors **) |
|
348 |
||
349 |
parent_path flat_names |> |
|
350 |
curry (foldr (fn (((((_, (_, _, constrs)), T), tname), |
|
351 |
constr_syntax'), thy') => thy' |> |
|
352 |
add_path flat_names tname |> |
|
353 |
Theory.add_consts_i (map (fn ((_, cargs), (cname, mx)) => |
|
354 |
(cname, map (typ_of_dtyp descr' sorts) cargs ---> T, mx)) |
|
355 |
(constrs ~~ constr_syntax')) |> |
|
356 |
parent_path flat_names)) |
|
357 |
(hd descr ~~ newTs ~~ new_type_names ~~ constr_syntax); |
|
5177 | 358 |
|
359 |
(**** introduction of axioms ****) |
|
360 |
||
5661 | 361 |
val rec_axs = DatatypeProp.make_primrecs new_type_names descr sorts thy2; |
362 |
val size_axs = DatatypeProp.make_size new_type_names descr sorts thy2; |
|
363 |
||
5177 | 364 |
val (thy3, inject) = thy2 |> |
5661 | 365 |
Theory.add_path (space_implode "_" new_type_names) |> |
5177 | 366 |
PureThy.add_axioms_i [(("induct", DatatypeProp.make_ind descr sorts), [])] |> |
5661 | 367 |
PureThy.add_axiomss_i [(("recs", rec_axs), [])] |> |
368 |
PureThy.add_axiomss_i [(("size", size_axs), [])] |> |
|
369 |
Theory.parent_path |> |
|
5177 | 370 |
add_and_get_axiomss "inject" new_type_names |
371 |
(DatatypeProp.make_injs descr sorts); |
|
5661 | 372 |
val induct = get_axiom thy3 "induct"; |
373 |
val rec_thms = get_thms thy3 "recs"; |
|
374 |
val size_thms = get_thms thy3 "size"; |
|
5177 | 375 |
val (thy4, distinct) = add_and_get_axiomss "distinct" new_type_names |
376 |
(DatatypeProp.make_distincts new_type_names descr sorts thy3) thy3; |
|
377 |
val (thy5, exhaustion) = add_and_get_axioms "exhaust" new_type_names |
|
5661 | 378 |
(DatatypeProp.make_casedists descr sorts) thy4; |
5177 | 379 |
val (thy6, case_thms) = add_and_get_axiomss "cases" new_type_names |
380 |
(DatatypeProp.make_cases new_type_names descr sorts thy5) thy5; |
|
381 |
val (split_ts, split_asm_ts) = ListPair.unzip |
|
382 |
(DatatypeProp.make_splits new_type_names descr sorts thy6); |
|
383 |
val (thy7, split) = add_and_get_axioms "split" new_type_names split_ts thy6; |
|
384 |
val (thy8, split_asm) = add_and_get_axioms "split_asm" new_type_names |
|
385 |
split_asm_ts thy7; |
|
386 |
val (thy9, nchotomys) = add_and_get_axioms "nchotomy" new_type_names |
|
387 |
(DatatypeProp.make_nchotomys descr sorts) thy8; |
|
388 |
val (thy10, case_congs) = add_and_get_axioms "case_cong" new_type_names |
|
389 |
(DatatypeProp.make_case_congs new_type_names descr sorts thy9) thy9; |
|
390 |
||
6305 | 391 |
val dt_infos = map (make_dt_info descr' induct reccomb_names' rec_thms) |
392 |
((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names' ~~ case_thms ~~ |
|
5177 | 393 |
exhaustion ~~ distinct ~~ inject ~~ nchotomys ~~ case_congs); |
394 |
||
395 |
val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms; |
|
396 |
||
5661 | 397 |
val thy11 = thy10 |> |
398 |
Theory.add_path (space_implode "_" new_type_names) |> |
|
6092 | 399 |
PureThy.add_thmss [(("simps", simps), [])] |> |
5177 | 400 |
put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |> |
401 |
Theory.parent_path; |
|
402 |
||
5661 | 403 |
val _ = store_clasimp thy11 ((claset_of thy11, simpset_of thy11) |
5177 | 404 |
addsimps2 flat case_thms addsimps2 size_thms addsimps2 rec_thms |
405 |
addIffs flat inject addDistinct (distinct, hd descr)); |
|
406 |
||
407 |
in |
|
5661 | 408 |
(thy11, |
5177 | 409 |
{distinct = distinct, |
410 |
inject = inject, |
|
411 |
exhaustion = exhaustion, |
|
412 |
rec_thms = rec_thms, |
|
413 |
case_thms = case_thms, |
|
414 |
split_thms = split ~~ split_asm, |
|
415 |
induction = induct, |
|
416 |
size = size_thms, |
|
417 |
simps = simps}) |
|
418 |
end; |
|
419 |
||
420 |
||
421 |
(******************* definitional introduction of datatypes *******************) |
|
422 |
||
5661 | 423 |
fun add_datatype_def flat_names new_type_names descr sorts types_syntax constr_syntax dt_info thy = |
5177 | 424 |
let |
5661 | 425 |
val _ = message ("Proofs for datatype(s) " ^ commas new_type_names); |
5177 | 426 |
|
427 |
val (thy2, inject, dist_rewrites, induct) = thy |> |
|
5661 | 428 |
DatatypeRepProofs.representation_proofs flat_names dt_info new_type_names descr sorts |
5177 | 429 |
types_syntax constr_syntax; |
430 |
||
431 |
val (thy3, casedist_thms) = |
|
432 |
DatatypeAbsProofs.prove_casedist_thms new_type_names descr sorts induct thy2; |
|
433 |
val (thy4, reccomb_names, rec_thms) = DatatypeAbsProofs.prove_primrec_thms |
|
5661 | 434 |
flat_names new_type_names descr sorts dt_info inject dist_rewrites induct thy3; |
5177 | 435 |
val (thy5, case_names, case_thms) = DatatypeAbsProofs.prove_case_thms |
5661 | 436 |
flat_names new_type_names descr sorts reccomb_names rec_thms thy4; |
5177 | 437 |
val (thy6, distinct) = DatatypeAbsProofs.prove_distinctness_thms |
5661 | 438 |
flat_names new_type_names descr sorts dist_rewrites case_thms thy5; |
5177 | 439 |
val (thy7, split_thms) = DatatypeAbsProofs.prove_split_thms new_type_names |
440 |
descr sorts inject dist_rewrites casedist_thms case_thms thy6; |
|
441 |
val (thy8, nchotomys) = DatatypeAbsProofs.prove_nchotomys new_type_names |
|
442 |
descr sorts casedist_thms thy7; |
|
443 |
val (thy9, case_congs) = DatatypeAbsProofs.prove_case_congs new_type_names |
|
444 |
descr sorts nchotomys case_thms thy8; |
|
5661 | 445 |
val (thy10, size_thms) = DatatypeAbsProofs.prove_size_thms flat_names new_type_names |
5177 | 446 |
descr sorts reccomb_names rec_thms thy9; |
447 |
||
448 |
val dt_infos = map (make_dt_info (flat descr) induct reccomb_names rec_thms) |
|
449 |
((0 upto length (hd descr) - 1) ~~ (hd descr) ~~ case_names ~~ case_thms ~~ |
|
450 |
casedist_thms ~~ distinct ~~ inject ~~ nchotomys ~~ case_congs); |
|
451 |
||
452 |
val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms; |
|
453 |
||
454 |
val thy11 = thy10 |> |
|
5661 | 455 |
Theory.add_path (space_implode "_" new_type_names) |> |
6092 | 456 |
PureThy.add_thmss [(("simps", simps), [])] |> |
5177 | 457 |
put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |> |
5663
aad79a127628
Fixed bug (improper handling of flag flat_names).
berghofe
parents:
5661
diff
changeset
|
458 |
Theory.parent_path; |
5177 | 459 |
|
460 |
val _ = store_clasimp thy11 ((claset_of thy11, simpset_of thy11) |
|
461 |
addsimps2 flat case_thms addsimps2 size_thms addsimps2 rec_thms |
|
462 |
addIffs flat inject addDistinct (distinct, hd descr)); |
|
463 |
||
464 |
in |
|
465 |
(thy11, |
|
466 |
{distinct = distinct, |
|
467 |
inject = inject, |
|
468 |
exhaustion = casedist_thms, |
|
469 |
rec_thms = rec_thms, |
|
470 |
case_thms = case_thms, |
|
471 |
split_thms = split_thms, |
|
472 |
induction = induct, |
|
473 |
size = size_thms, |
|
474 |
simps = simps}) |
|
475 |
end; |
|
476 |
||
477 |
||
478 |
(*********************** declare non-datatype as datatype *********************) |
|
479 |
||
6103 | 480 |
fun rep_datatype alt_names distinct inject induction thy = |
5177 | 481 |
let |
482 |
val sign = sign_of thy; |
|
483 |
||
484 |
val induction' = freezeT induction; |
|
485 |
||
486 |
fun err t = error ("Ill-formed predicate in induction rule: " ^ |
|
487 |
Sign.string_of_term sign t); |
|
488 |
||
489 |
fun get_typ (t as _ $ Var (_, Type (tname, Ts))) = |
|
490 |
((tname, map dest_TFree Ts) handle _ => err t) |
|
491 |
| get_typ t = err t; |
|
492 |
||
493 |
val dtnames = map get_typ (dest_conj (HOLogic.dest_Trueprop (concl_of induction'))); |
|
494 |
val new_type_names = if_none alt_names (map fst dtnames); |
|
495 |
||
496 |
fun get_constr t = (case Logic.strip_assums_concl t of |
|
497 |
_ $ (_ $ t') => (case head_of t' of |
|
498 |
Const (cname, cT) => (case strip_type cT of |
|
499 |
(Ts, Type (tname, _)) => (tname, (cname, map (dtyp_of_typ dtnames) Ts)) |
|
500 |
| _ => err t) |
|
501 |
| _ => err t) |
|
502 |
| _ => err t); |
|
503 |
||
504 |
fun make_dt_spec [] _ _ = [] |
|
505 |
| make_dt_spec ((tname, tvs)::dtnames') i constrs = |
|
506 |
let val (constrs', constrs'') = take_prefix (equal tname o fst) constrs |
|
507 |
in (i, (tname, map DtTFree tvs, map snd constrs')):: |
|
508 |
(make_dt_spec dtnames' (i + 1) constrs'') |
|
509 |
end; |
|
510 |
||
511 |
val descr = make_dt_spec dtnames 0 (map get_constr (prems_of induction')); |
|
512 |
val sorts = add_term_tfrees (concl_of induction', []); |
|
513 |
val dt_info = get_datatypes thy; |
|
514 |
||
515 |
val _ = writeln ("Proofs for datatype(s) " ^ commas new_type_names); |
|
516 |
||
517 |
val (thy2, casedist_thms) = thy |> |
|
518 |
DatatypeAbsProofs.prove_casedist_thms new_type_names [descr] sorts induction; |
|
519 |
val (thy3, reccomb_names, rec_thms) = DatatypeAbsProofs.prove_primrec_thms |
|
5661 | 520 |
false new_type_names [descr] sorts dt_info inject distinct induction thy2; |
521 |
val (thy4, case_names, case_thms) = DatatypeAbsProofs.prove_case_thms false |
|
5177 | 522 |
new_type_names [descr] sorts reccomb_names rec_thms thy3; |
523 |
val (thy5, split_thms) = DatatypeAbsProofs.prove_split_thms |
|
524 |
new_type_names [descr] sorts inject distinct casedist_thms case_thms thy4; |
|
525 |
val (thy6, nchotomys) = DatatypeAbsProofs.prove_nchotomys new_type_names |
|
526 |
[descr] sorts casedist_thms thy5; |
|
527 |
val (thy7, case_congs) = DatatypeAbsProofs.prove_case_congs new_type_names |
|
528 |
[descr] sorts nchotomys case_thms thy6; |
|
529 |
val (thy8, size_thms) = |
|
530 |
if exists (equal "Arith") (Sign.stamp_names_of (sign_of thy7)) then |
|
5661 | 531 |
DatatypeAbsProofs.prove_size_thms false new_type_names |
5177 | 532 |
[descr] sorts reccomb_names rec_thms thy7 |
533 |
else (thy7, []); |
|
534 |
||
535 |
val dt_infos = map (make_dt_info descr induction reccomb_names rec_thms) |
|
536 |
((0 upto length descr - 1) ~~ descr ~~ case_names ~~ case_thms ~~ |
|
537 |
casedist_thms ~~ distinct ~~ inject ~~ nchotomys ~~ case_congs); |
|
538 |
||
539 |
val simps = flat (distinct @ inject @ case_thms) @ size_thms @ rec_thms; |
|
540 |
||
541 |
val thy9 = thy8 |> |
|
5661 | 542 |
Theory.add_path (space_implode "_" new_type_names) |> |
6092 | 543 |
PureThy.add_thmss [(("simps", simps), [])] |> |
5177 | 544 |
put_datatypes (foldr Symtab.update (dt_infos, dt_info)) |> |
545 |
Theory.parent_path; |
|
546 |
||
547 |
val _ = store_clasimp thy9 ((claset_of thy9, simpset_of thy9) |
|
548 |
addsimps2 flat case_thms addsimps2 size_thms addsimps2 rec_thms |
|
549 |
addIffs flat inject addDistinct (distinct, descr)); |
|
550 |
||
551 |
in |
|
552 |
(thy9, |
|
553 |
{distinct = distinct, |
|
554 |
inject = inject, |
|
555 |
exhaustion = casedist_thms, |
|
556 |
rec_thms = rec_thms, |
|
557 |
case_thms = case_thms, |
|
558 |
split_thms = split_thms, |
|
559 |
induction = induction, |
|
560 |
size = size_thms, |
|
561 |
simps = simps}) |
|
562 |
end; |
|
563 |
||
564 |
||
565 |
(******************************** add datatype ********************************) |
|
566 |
||
5661 | 567 |
fun gen_add_datatype prep_typ flat_names new_type_names dts thy = |
5177 | 568 |
let |
569 |
val _ = Theory.requires thy "Datatype" "datatype definitions"; |
|
570 |
||
571 |
(* this theory is used just for parsing *) |
|
572 |
||
573 |
val tmp_thy = thy |> |
|
5892 | 574 |
Theory.copy |> |
5177 | 575 |
Theory.add_types (map (fn (tvs, tname, mx, _) => |
576 |
(tname, length tvs, mx)) dts); |
|
577 |
||
578 |
val sign = sign_of tmp_thy; |
|
579 |
||
5661 | 580 |
val (tyvars, _, _, _)::_ = dts; |
5177 | 581 |
val (new_dts, types_syntax) = ListPair.unzip (map (fn (tvs, tname, mx, _) => |
582 |
let val full_tname = Sign.full_name sign (Syntax.type_name tname mx) |
|
583 |
in (case duplicates tvs of |
|
5661 | 584 |
[] => if eq_set (tyvars, tvs) then ((full_tname, tvs), (tname, mx)) |
585 |
else error ("Mutually recursive datatypes must have same type parameters") |
|
5177 | 586 |
| dups => error ("Duplicate parameter(s) for datatype " ^ full_tname ^ |
587 |
" : " ^ commas dups)) |
|
588 |
end) dts); |
|
589 |
||
590 |
val _ = (case duplicates (map fst new_dts) @ duplicates new_type_names of |
|
591 |
[] => () | dups => error ("Duplicate datatypes: " ^ commas dups)); |
|
592 |
||
593 |
fun prep_dt_spec ((dts', constr_syntax, sorts, i), (tvs, tname, mx, constrs)) = |
|
594 |
let |
|
5661 | 595 |
fun prep_constr ((constrs, constr_syntax', sorts'), (cname, cargs, mx')) = |
5279 | 596 |
let |
597 |
val (cargs', sorts'') = foldl (prep_typ sign) (([], sorts'), cargs); |
|
598 |
val _ = (case foldr add_typ_tfree_names (cargs', []) \\ tvs of |
|
599 |
[] => () |
|
600 |
| vs => error ("Extra type variables on rhs: " ^ commas vs)) |
|
5661 | 601 |
in (constrs @ [((if flat_names then Sign.full_name sign else |
602 |
Sign.full_name_path sign tname) (Syntax.const_name cname mx'), |
|
5177 | 603 |
map (dtyp_of_typ new_dts) cargs')], |
604 |
constr_syntax' @ [(cname, mx')], sorts'') |
|
605 |
end handle ERROR => |
|
606 |
error ("The error above occured in constructor " ^ cname ^ |
|
607 |
" of datatype " ^ tname); |
|
608 |
||
609 |
val (constrs', constr_syntax', sorts') = |
|
610 |
foldl prep_constr (([], [], sorts), constrs) |
|
611 |
||
612 |
in |
|
613 |
case duplicates (map fst constrs') of |
|
614 |
[] => |
|
615 |
(dts' @ [(i, (Sign.full_name sign (Syntax.type_name tname mx), |
|
616 |
map DtTFree tvs, constrs'))], |
|
617 |
constr_syntax @ [constr_syntax'], sorts', i + 1) |
|
618 |
| dups => error ("Duplicate constructors " ^ commas dups ^ |
|
619 |
" in datatype " ^ tname) |
|
620 |
end; |
|
621 |
||
5661 | 622 |
val (dts', constr_syntax, sorts', i) = foldl prep_dt_spec (([], [], [], 0), dts); |
5177 | 623 |
val dt_info = get_datatypes thy; |
624 |
val (descr, _) = unfold_datatypes dt_info dts' i; |
|
625 |
val _ = check_nonempty descr; |
|
5661 | 626 |
val sorts = sorts' @ (map (rpair (Sign.defaultS sign)) (tyvars \\ map fst sorts')); |
5177 | 627 |
|
628 |
in |
|
629 |
(if (!quick_and_dirty) then add_datatype_axm else add_datatype_def) |
|
5661 | 630 |
flat_names new_type_names descr sorts types_syntax constr_syntax dt_info thy |
5177 | 631 |
end; |
632 |
||
633 |
val add_datatype_i = gen_add_datatype cert_typ; |
|
634 |
val add_datatype = gen_add_datatype read_typ; |
|
635 |
||
636 |
end; |
|
637 |
||
638 |
val induct_tac = DatatypePackage.induct_tac; |
|
639 |
val mutual_induct_tac = DatatypePackage.mutual_induct_tac; |
|
640 |
val exhaust_tac = DatatypePackage.exhaust_tac; |