author | wenzelm |
Mon, 27 Jul 1998 11:29:33 +0200 | |
changeset 5201 | fac6fea3b782 |
parent 5180 | d82a70766af0 |
child 5697 | e816c4f1a396 |
permissions | -rw-r--r-- |
4866 | 1 |
(* Title: HOL/Tools/typedef_package.ML |
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ID: $Id$ |
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Author: Markus Wenzel, TU Muenchen |
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Gordon/HOL style type definitions. |
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*) |
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signature TYPEDEF_PACKAGE = |
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sig |
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val add_typedecls: (bstring * string list * mixfix) list -> theory -> theory |
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val prove_nonempty: cterm -> thm list -> tactic option -> thm |
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val add_typedef: string -> bstring * string list * mixfix -> |
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string -> string list -> thm list -> tactic option -> theory -> theory |
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val add_typedef_i: string -> bstring * string list * mixfix -> |
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term -> string list -> thm list -> tactic option -> theory -> theory |
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d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
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diff
changeset
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val add_typedef_i_no_def: string -> bstring * string list * mixfix -> |
d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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term -> string list -> thm list -> tactic option -> theory -> theory |
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end; |
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structure TypedefPackage: TYPEDEF_PACKAGE = |
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struct |
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(** type declarations **) |
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fun add_typedecls decls thy = |
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let |
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val full = Sign.full_name (Theory.sign_of thy); |
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fun arity_of (raw_name, args, mx) = |
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(full (Syntax.type_name raw_name mx), replicate (length args) HOLogic.termS, HOLogic.termS); |
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in |
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thy |
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|> PureThy.add_typedecls decls |
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|> Theory.add_arities_i (map arity_of decls) |
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end; |
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(** type definitions **) |
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(* prove non-emptyness of a set *) (*exception ERROR*) |
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val is_def = Logic.is_equals o #prop o rep_thm; |
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fun prove_nonempty cset thms usr_tac = |
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let |
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val {T = setT, t = set, maxidx, sign} = rep_cterm cset; |
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val T = HOLogic.dest_setT setT; |
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val goal = cterm_of sign |
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(HOLogic.mk_Trueprop (HOLogic.mk_mem (Var (("x", maxidx + 1), T), set))); |
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val tac = |
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TRY (rewrite_goals_tac (filter is_def thms)) THEN |
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TRY (REPEAT_FIRST (resolve_tac (filter_out is_def thms))) THEN |
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if_none usr_tac (TRY (ALLGOALS (CLASET' blast_tac))); |
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in |
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prove_goalw_cterm [] goal (K [tac]) |
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end |
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handle ERROR => |
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error ("Failed to prove nonemptiness of " ^ quote (string_of_cterm cset)); |
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(* gen_add_typedef *) |
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d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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fun gen_add_typedef prep_term no_def name (t, vs, mx) raw_set axms thms usr_tac thy = |
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let |
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val _ = Theory.requires thy "Set" "typedefs"; |
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val sign = sign_of thy; |
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val full_name = Sign.full_name sign; |
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(*rhs*) |
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val cset = prep_term sign raw_set; |
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val {T = setT, t = set, ...} = rep_cterm cset; |
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val rhs_tfrees = term_tfrees set; |
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val oldT = HOLogic.dest_setT setT handle TYPE _ => |
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error ("Not a set type: " ^ quote (Sign.string_of_typ sign setT)); |
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(*lhs*) |
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val lhs_tfrees = |
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map (fn v => (v, if_none (assoc (rhs_tfrees, v)) HOLogic.termS)) vs; |
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val tname = Syntax.type_name t mx; |
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val newT = Type (full_name tname, map TFree lhs_tfrees); |
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val Rep_name = "Rep_" ^ name; |
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val Abs_name = "Abs_" ^ name; |
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val setC = Const (full_name name, setT); |
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val RepC = Const (full_name Rep_name, newT --> oldT); |
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val AbsC = Const (full_name Abs_name, oldT --> newT); |
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val x_new = Free ("x", newT); |
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val y_old = Free ("y", oldT); |
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5180
d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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val set' = if no_def then set else setC; |
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(*axioms*) |
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d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
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parents:
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changeset
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val rep_type = HOLogic.mk_Trueprop (HOLogic.mk_mem (RepC $ x_new, set')); |
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val rep_type_inv = HOLogic.mk_Trueprop (HOLogic.mk_eq (AbsC $ (RepC $ x_new), x_new)); |
5180
d82a70766af0
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berghofe
parents:
5104
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changeset
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val abs_type_inv = Logic.mk_implies (HOLogic.mk_Trueprop (HOLogic.mk_mem (y_old, set')), |
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HOLogic.mk_Trueprop (HOLogic.mk_eq (RepC $ (AbsC $ y_old), y_old))); |
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(* errors *) |
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fun show_names pairs = commas_quote (map fst pairs); |
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val illegal_vars = |
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if null (term_vars set) andalso null (term_tvars set) then [] |
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else ["Illegal schematic variable(s) on rhs"]; |
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val dup_lhs_tfrees = |
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(case duplicates lhs_tfrees of [] => [] |
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| dups => ["Duplicate type variables on lhs: " ^ show_names dups]); |
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val extra_rhs_tfrees = |
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(case gen_rems (op =) (rhs_tfrees, lhs_tfrees) of [] => [] |
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| extras => ["Extra type variables on rhs: " ^ show_names extras]); |
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val illegal_frees = |
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(case term_frees set of [] => [] |
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| xs => ["Illegal variables on rhs: " ^ show_names (map dest_Free xs)]); |
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val errs = illegal_vars @ dup_lhs_tfrees @ extra_rhs_tfrees @ illegal_frees; |
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in |
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if null errs then () |
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else error (cat_lines errs); |
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writeln("Proving nonemptiness of " ^ quote name ^ " ..."); |
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prove_nonempty cset (map (get_axiom thy) axms @ thms) usr_tac; |
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thy |
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|> PureThy.add_typedecls [(t, vs, mx)] |
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|> Theory.add_arities_i |
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[(full_name tname, replicate (length vs) HOLogic.termS, HOLogic.termS)] |
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|> Theory.add_consts_i |
5180
d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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((if no_def then [] else [(name, setT, NoSyn)]) @ |
d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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[(Rep_name, newT --> oldT, NoSyn), |
d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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(Abs_name, oldT --> newT, NoSyn)]) |
d82a70766af0
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berghofe
parents:
5104
diff
changeset
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|> (if no_def then I else (PureThy.add_defs_i o map Attribute.none) |
d82a70766af0
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berghofe
parents:
5104
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changeset
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[(name ^ "_def", Logic.mk_equals (setC, set))]) |
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|> (PureThy.add_axioms_i o map Attribute.none) |
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[(Rep_name, rep_type), |
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(Rep_name ^ "_inverse", rep_type_inv), |
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(Abs_name ^ "_inverse", abs_type_inv)] |
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end |
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handle ERROR => |
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error ("The error(s) above occurred in typedef " ^ quote name); |
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(* external interfaces *) |
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fun read_term sg str = |
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read_cterm sg (str, HOLogic.termTVar); |
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fun cert_term sg tm = |
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cterm_of sg tm handle TERM (msg, _) => error msg; |
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5180
d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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val add_typedef = gen_add_typedef read_term false; |
d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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val add_typedef_i = gen_add_typedef cert_term false; |
d82a70766af0
Added new function add_typedef_i_no_def which doesn't add
berghofe
parents:
5104
diff
changeset
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val add_typedef_i_no_def = gen_add_typedef cert_term true; |
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end; |