neuper@38025
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(* Title: extends Isabelle/src/Pure/term.ML
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e0726734@41962
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Author: Walther Neuper 1999, Mathias Lehnfeld
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neuper@38025
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(c) due to copyright terms
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neuper@38025
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*)
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wneuper@59507
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infix contains_one_of
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wneuper@59507
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wneuper@59577
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(* TERM_C extends Isabelle's naming conventions: "C" indicates Isac add-ons to an Isabelle module *)
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walther@59861
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signature TERM_ISAC =
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walther@59861
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sig
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walther@59868
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type as_string
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walther@59861
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val empty: term
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walther@59868
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val type_empty: typ
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walther@59865
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walther@59861
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datatype lrd = D | L | R
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walther@59861
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type path
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walther@59861
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val string_of_path: path -> string
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walther@59861
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val at_location: path -> term -> term
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walther@59861
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val go_up: path -> term -> term
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walther@59767
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walther@59861
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val contains_Var: term -> bool
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walther@59861
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val dest_binop_typ: typ -> typ * typ * typ
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walther@59861
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val dest_equals: term -> term * term
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walther@59861
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val free2str: term -> string
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walther@59861
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val ids2str: term -> string list
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walther@59861
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val ins_concl: term -> term -> term
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walther@59861
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val inst_abs: term -> term
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walther@59861
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val inst_bdv: (term * term) list -> term -> term
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wneuper@59390
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walther@59861
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val term_of_num: typ -> int -> term
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walther@59861
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val num_of_term: term -> int
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walther@59861
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val int_of_str_opt: string -> int option
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walther@59861
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val int_of_str: string -> int
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walther@59861
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val isastr_of_int: int -> string
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wneuper@59390
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walther@59861
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val isalist2list: term -> term list
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walther@59861
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val list2isalist: typ -> term list -> term
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walther@59861
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val isapair2pair: term -> term * term (* rename to dest_pair, compare HOLogic.dest_string *)
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wneuper@59390
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walther@59861
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val is_atom: term -> bool
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walther@59861
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val is_const: term -> bool
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walther@59861
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val is_variable: term -> bool
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walther@59861
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val is_bdv: string -> bool
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walther@59861
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val is_bdv_subst: term -> bool
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walther@59861
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val guess_bdv_typ: term -> typ
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walther@59861
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val is_equality: term -> bool
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walther@59861
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val is_expliceq: term -> bool
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walther@59861
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val is_f_x: term -> bool
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walther@59861
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val is_list: term -> bool
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walther@59861
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val is_bool_list: term -> bool
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walther@59861
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val dest_listT: typ -> typ
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walther@59861
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val is_num: term -> bool
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walther@59861
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val is_num': string -> bool
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walther@59861
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val variable_constant_pair: term * term -> bool
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wneuper@59390
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walther@59861
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val mk_add: term -> term -> term
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walther@59861
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val mk_free: typ -> string -> term
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walther@59861
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val mk_equality: term * term -> term
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walther@59861
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val mk_factroot: string -> typ -> int -> int -> term
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walther@59861
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val mk_Free: string * typ -> term
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walther@59861
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val mk_thmid: string -> string -> string -> string
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walther@59861
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val mk_num_op_num: typ -> typ -> string * typ -> int -> int -> term
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walther@59861
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val mk_num_op_var: term -> string -> typ -> typ -> int -> term
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walther@59861
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val mk_var_op_num: term -> string -> typ -> typ -> int -> term
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wneuper@59390
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walther@59861
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val matches: theory -> term -> term -> bool
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walther@59861
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val parse: theory -> string -> cterm option
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walther@59861
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val parseN: theory -> string -> cterm option
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walther@59861
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val parseNEW: Proof.context -> string -> term option
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walther@59861
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val parseNEW': Proof.context -> string -> term
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walther@59861
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val parseold: theory -> string -> cterm option
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walther@59861
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val parse_patt: theory -> string -> term
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walther@59861
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val perm: term -> term -> bool
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wneuper@59390
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walther@59861
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val str_of_free_opt: term -> string option
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walther@59861
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val str_of_int: int -> string
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walther@59861
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val str2term: string -> term
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walther@59861
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val strip_imp_prems': term -> term option
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walther@59861
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val subst_atomic_all: (term * term) list -> term -> bool * term
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walther@59861
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val term_detail2str: term -> string
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walther@59861
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walther@59861
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val pairt: term -> term -> term
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walther@59861
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val pairT: typ -> typ -> typ
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walther@59861
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val raise_type_conflicts: term list -> unit
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walther@59861
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val strip_trueprop: term -> term
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walther@59861
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walther@59861
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val numbers_to_string: term -> term
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walther@59861
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val uminus_to_string: term -> term
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walther@59871
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walther@59861
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val var2free: term -> term
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walther@59861
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val vars: term -> term list (* recognises numverals, should replace "fun vars_of" *)
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walther@59861
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val vars_of: term -> term list
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walther@59861
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val dest_list': term -> term list
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walther@59861
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val negates: term -> term -> bool
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wneuper@59532
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wneuper@59389
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(* ---- for tests only: shifted from below to remove the Warning "unused" at fun.def. --------- *)
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walther@59861
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val scala_of_term: term -> string
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walther@59861
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val atomtyp(*<-- atom_typ TODO*): typ -> unit
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walther@59861
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val atomty: term -> unit
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walther@59861
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val atomw: term -> unit
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walther@59861
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val atomt: term -> unit
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walther@59861
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val atomwy: term -> unit
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walther@59861
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val atomty_thy: ThyC.thyID -> term -> unit
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walther@59861
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val free2var: term -> term
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walther@59861
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val contains_one_of: thm * (string * typ) list -> bool
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walther@59861
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val contains_Const_typeless: term list -> term -> bool
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walther@59785
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(*/-------------------------------------------------------- ! aktivate for Test_Isac BEGIN ---\* )
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walther@59861
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val typ_a2real: term -> term
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walther@59785
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( *\--- ! aktivate for Test_Isac END ----------------------------------------------------------/*)
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walther@59861
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end
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wneuper@59389
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wneuper@59389
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(**)
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walther@59861
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structure TermC(**): TERM_ISAC(**) =
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wneuper@59389
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struct
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wneuper@59389
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(**)
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neuper@38025
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walther@59865
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type as_string = UnparseC.term_as_string
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walther@59868
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val empty = UnparseC.term_empty
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walther@59868
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val type_empty = UnparseC.type_empty
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walther@59861
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walther@59767
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datatype lrd = L (*t1 in "t1$t2"*)
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walther@59767
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| R (*t2 in "t1$t2"*) | D; (*b in Abs(_,_,b*)
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walther@59767
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type path = lrd list;
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walther@59767
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fun ldr2str L = "L"
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walther@59767
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| ldr2str R = "R"
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walther@59767
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| ldr2str D = "D";
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walther@59774
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fun string_of_path k = (strs2str' o (map ldr2str)) k;
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walther@59768
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(*go to a location in a term and fetch the resective sub-term*)
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walther@59768
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fun at_location [] t = t
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walther@59770
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| at_location (D :: p) (Abs(_, _, body)) = at_location p body
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walther@59768
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| at_location (L :: p) (t1 $ _) = at_location p t1
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walther@59768
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| at_location (R :: p) (_ $ t2) = at_location p t2
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walther@59774
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| at_location l t = raise TERM ("at_location: no " ^ string_of_path l ^ " for ", [t]);
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walther@59768
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fun go_up l t =
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walther@59868
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if length l > 1 then at_location (drop_last l) t else raise ERROR ("go_up [] " ^ UnparseC.term t)
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walther@59767
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neuper@52087
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fun isastr_of_int i = if i >= 0 then string_of_int i else "-" ^ string_of_int (abs i)
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neuper@52087
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neuper@38025
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fun matches thy tm pa =
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neuper@38025
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(Pattern.match thy (pa, tm) (Vartab.empty, Vartab.empty); true)
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wneuper@59392
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handle Pattern.MATCH => false
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neuper@38025
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wneuper@59392
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(** transform typ / term to a String to be parsed by Scala after transport via libisabelle **)
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wneuper@59392
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wneuper@59318
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fun scala_of_typ (Type (s, typs)) =
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wneuper@59318
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enclose "Type(" ")" (quote s ^ ", " ^
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wneuper@59318
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(typs |> map scala_of_typ |> commas |> enclose "List(" ")"))
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wneuper@59318
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| scala_of_typ (TFree (s, sort)) =
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wneuper@59318
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enclose "TFree(" ")" (quote s ^ ", " ^ (sort |> map quote |> commas |> enclose "List(" ")"))
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wneuper@59318
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| scala_of_typ (TVar ((s, i), sort)) =
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wneuper@59318
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enclose "TVar(" ")" (
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wneuper@59318
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enclose "(" ")," (quote s ^ "," ^ quote (string_of_int i)) ^
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wneuper@59318
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(sort |> map quote |> commas |> enclose "List(" ")"))
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wneuper@59318
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fun scala_of_term (Const (s, T)) =
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wneuper@59318
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enclose "Const(" ")" (quote s ^ ", " ^ scala_of_typ T)
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wneuper@59318
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| scala_of_term (Free (s, T)) =
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wneuper@59318
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enclose "Free(" ")" (quote s ^ ", " ^ scala_of_typ T)
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wneuper@59318
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| scala_of_term (Var ((s, i), T)) =
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wneuper@59318
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enclose "TVar(" ")" (
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wneuper@59318
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enclose "(" ")," (quote s ^ "," ^ quote (string_of_int i)) ^
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wneuper@59318
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scala_of_typ T)
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wneuper@59318
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| scala_of_term (Bound i) = enclose "Bound(" ")" (string_of_int i)
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wneuper@59318
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| scala_of_term (Abs (s, T, t)) =
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wneuper@59318
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enclose "Abs(" ")" (
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wneuper@59318
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quote s ^ ", " ^
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wneuper@59318
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scala_of_typ T ^ ", " ^
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wneuper@59318
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scala_of_term t)
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wneuper@59318
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| scala_of_term (t1 $ t2) =
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wneuper@59318
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enclose "App(" ")" (scala_of_term t1 ^ ", " ^ scala_of_term t2)
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wneuper@59318
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wneuper@59392
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(* see structure's bare bones.
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wneuper@59392
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for Isabelle standard output compare 2017 "structure ML_PP" *)
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wneuper@59392
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fun atomtyp t =
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neuper@38025
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let
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wneuper@59392
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fun ato n (Type (s, [])) = "\n*** " ^ indent n ^ "Type (" ^ s ^",[])"
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wneuper@59392
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| ato n (Type (s, Ts)) = "\n*** " ^ indent n ^ "Type (" ^ s ^ ",[" ^ atol (n + 1) Ts
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wneuper@59392
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| ato n (TFree (s, sort)) = "\n*** " ^ indent n ^ "TFree (" ^ s ^ "," ^ strs2str' sort
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wneuper@59392
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| ato n (TVar ((s, i), sort)) =
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wneuper@59392
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"\n*** " ^ indent n ^ "TVar ((" ^ s ^ "," ^ string_of_int i ^ strs2str' sort
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wneuper@59392
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and atol n [] = "\n*** " ^ indent n ^ "]"
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wneuper@59392
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| atol n (T :: Ts) = (ato n T ^ atol n Ts)
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neuper@38048
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in tracing (ato 0 t ^ "\n") end;
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neuper@38025
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neuper@38067
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local
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wneuper@59392
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fun ato (Const (a, _)) n = "\n*** " ^ indent n ^ "Const (" ^ a ^ ", _)"
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wneuper@59392
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| ato (Free (a, _)) n = "\n*** " ^ indent n ^ "Free (" ^ a ^ ", _)"
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neuper@38025
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| ato (Var ((a, i), _)) n =
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wneuper@59392
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"\n*** " ^ indent n ^ "Var (" ^ a ^ ", " ^ string_of_int i ^ "), _)"
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wneuper@59392
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| ato (Bound i) n = "\n*** " ^ indent n ^ "Bound " ^ string_of_int i
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wneuper@59392
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| ato (Abs (a, _, body)) n = "\n*** " ^ indent n ^ "Abs(" ^ a ^ ", _" ^ ato body (n+1)
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neuper@38025
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| ato (f $ t) n = (ato f n ^ ato t (n + 1))
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neuper@38067
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in
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wneuper@59392
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fun atomw t = writeln ("\n*** -------------" ^ ato t 0 ^ "\n***");
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wneuper@59392
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fun atomt t = tracing ("\n*** -------------" ^ ato t 0 ^ "\n***");
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neuper@38067
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end;
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neuper@38025
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neuper@38025
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fun term_detail2str t =
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wneuper@59392
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let
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walther@59868
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fun ato (Const (a, T)) n = "\n*** " ^ indent n ^ "Const (" ^ a ^ ", " ^ UnparseC.typ T ^ ")"
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walther@59868
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| ato (Free (a, T)) n = "\n*** " ^ indent n ^ "Free (" ^ a ^ ", " ^ UnparseC.typ T ^ ")"
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wneuper@59392
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| ato (Var ((a, i), T)) n =
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walther@59868
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"\n*** " ^ indent n ^ "Var ((" ^ a ^ ", " ^ string_of_int i ^ "), " ^ UnparseC.typ T ^ ")"
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wneuper@59392
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202 |
| ato (Bound i) n = "\n*** " ^ indent n ^ "Bound " ^ string_of_int i
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wneuper@59392
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203 |
| ato (Abs(a, T, body)) n =
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walther@59868
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"\n*** " ^ indent n ^ "Abs (" ^ a ^ ", " ^ UnparseC.typ T ^ ",.." ^ ato body (n + 1)
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wneuper@59392
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| ato (f $ t) n = ato f n ^ ato t (n + 1)
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wneuper@59392
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in "\n*** " ^ ato t 0 ^ "\n***" end;
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neuper@42376
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fun term_detail2str_thy thy t =
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wneuper@59392
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208 |
let
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wneuper@59392
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209 |
fun ato (Const (a, T)) n =
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walther@59870
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210 |
"\n*** " ^ indent n ^ "Const (" ^ a ^ ", " ^ UnparseC.typ_by_thyID thy T ^ ")"
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wneuper@59392
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211 |
| ato (Free (a, T)) n =
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walther@59870
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"\n*** " ^ indent n ^ "Free (" ^ a ^ ", " ^ UnparseC.typ_by_thyID thy T ^ ")"
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wneuper@59392
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| ato (Var ((a, i), T)) n =
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wneuper@59392
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"\n*** " ^ indent n ^ "Var ((" ^ a ^ ", " ^ string_of_int i ^ "), " ^
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walther@59870
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UnparseC.typ_by_thyID thy T ^ ")"
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wneuper@59392
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216 |
| ato (Bound i) n =
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wneuper@59392
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217 |
"\n*** " ^ indent n ^ "Bound " ^ string_of_int i
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wneuper@59392
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218 |
| ato (Abs(a, T, body)) n =
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walther@59870
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219 |
"\n*** " ^ indent n ^ "Abs (" ^ a ^ ", " ^ UnparseC.typ_by_thyID thy T ^ ",.." ^
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wneuper@59392
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220 |
ato body (n + 1)
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wneuper@59392
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221 |
| ato (f $ t) n = ato f n ^ ato t (n + 1)
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wneuper@59392
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222 |
in "\n*** " ^ ato t 0 ^ "\n***" end;
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neuper@38067
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223 |
fun atomwy t = (writeln o term_detail2str) t;
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neuper@38067
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224 |
fun atomty t = (tracing o term_detail2str) t;
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neuper@42376
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225 |
fun atomty_thy thy t = (tracing o (term_detail2str_thy thy)) t;
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neuper@38025
|
226 |
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wneuper@59392
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227 |
(* contains the term a VAR(("*",_),_) ? *)
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neuper@38025
|
228 |
fun contains_Var (Abs(_,_,body)) = contains_Var body
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neuper@38025
|
229 |
| contains_Var (f $ f') = contains_Var f orelse contains_Var f'
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neuper@38025
|
230 |
| contains_Var (Var _) = true
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neuper@38025
|
231 |
| contains_Var _ = false;
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neuper@38025
|
232 |
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wneuper@59392
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233 |
fun str_of_int n =
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wneuper@59392
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234 |
if n < 0 then "-" ^ ((string_of_int o abs) n)
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wneuper@59392
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235 |
else string_of_int n;
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wneuper@59457
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236 |
val int_of_str = Value.parse_int;
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walther@59871
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237 |
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walther@59871
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238 |
val int_of_str_opt = ThmC_Def.int_of_str_opt
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walther@59871
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239 |
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wneuper@59392
|
240 |
fun is_num' str = case int_of_str_opt str of SOME _ => true | NONE => false;
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wneuper@59392
|
241 |
fun is_num (Free (s, _)) = if is_num' s then true else false | is_num _ = false;
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wneuper@59392
|
242 |
fun term_of_num ntyp n = Free (str_of_int n, ntyp);
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wneuper@59392
|
243 |
fun num_of_term (t as (Free (istr, _))) =
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wneuper@59392
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244 |
(case int_of_str_opt istr of SOME i => i | NONE => raise TERM ("num_of_term: NOT int ", [t]))
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wneuper@59392
|
245 |
| num_of_term t = raise TERM ("num_of_term: NOT Free ", [t])
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neuper@52064
|
246 |
|
walther@59841
|
247 |
fun is_const (Const _) = true | is_const _ = false;
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walther@59841
|
248 |
fun is_variable (t as Free _) = not (is_num t)
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walther@59841
|
249 |
| is_variable _ = false;
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wneuper@59392
|
250 |
fun is_Free (Free _) = true | is_Free _ = false;
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neuper@38025
|
251 |
fun is_fun_id (Const _) = true
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neuper@38025
|
252 |
| is_fun_id (Free _) = true
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neuper@38025
|
253 |
| is_fun_id _ = false;
|
neuper@38025
|
254 |
fun is_f_x (f $ x) = is_fun_id f andalso is_Free x
|
neuper@38025
|
255 |
| is_f_x _ = false;
|
walther@59841
|
256 |
(* precondition: TermC.is_atom v andalso TermC.is_atom c *)
|
walther@59841
|
257 |
fun variable_constant_pair (v, c) =
|
walther@59841
|
258 |
if (is_variable v andalso (is_const c orelse is_num c)) orelse
|
walther@59841
|
259 |
(is_variable c andalso (is_const v orelse is_num v))
|
walther@59841
|
260 |
then true
|
walther@59841
|
261 |
else false
|
wneuper@59392
|
262 |
|
wneuper@59392
|
263 |
fun vars t =
|
neuper@38025
|
264 |
let
|
wneuper@59392
|
265 |
fun scan vs (Const _) = vs
|
wneuper@59392
|
266 |
| scan vs (t as Free (s, _)) = if is_num' s then vs else t :: vs
|
wneuper@59392
|
267 |
| scan vs (t as Var _) = t :: vs
|
wneuper@59392
|
268 |
| scan vs (Bound _) = vs
|
wneuper@59392
|
269 |
| scan vs (Abs (_, _, t)) = scan vs t
|
neuper@38025
|
270 |
| scan vs (t1 $ t2) = (scan vs t1) @ (scan vs t2)
|
neuper@38025
|
271 |
in (distinct o (scan [])) t end;
|
wneuper@59392
|
272 |
(* bypass Isabelle's Pretty, which requires ctxt *)
|
neuper@38025
|
273 |
fun ids2str t =
|
neuper@38025
|
274 |
let
|
wneuper@59392
|
275 |
fun scan vs (Const (s, _)) = if is_num' s then vs else s :: vs
|
wneuper@59392
|
276 |
| scan vs (Free (s, _)) = if is_num' s then vs else s :: vs
|
wneuper@59392
|
277 |
| scan vs (Var ((s, i), _)) = (s ^ "_" ^ string_of_int i) :: vs
|
wneuper@59392
|
278 |
| scan vs (Bound _) = vs
|
wneuper@59392
|
279 |
| scan vs (Abs (s, _, t)) = scan (s :: vs) t
|
neuper@38025
|
280 |
| scan vs (t1 $ t2) = (scan vs t1) @ (scan vs t2)
|
neuper@38025
|
281 |
in (distinct o (scan [])) t end;
|
wneuper@59392
|
282 |
fun is_bdv str = case Symbol.explode str of "b"::"d"::"v"::_ => true | _ => false;
|
wneuper@59394
|
283 |
(* instantiate #prop thm with bound variables (as Free) *)
|
wneuper@59394
|
284 |
fun inst_bdv [] t = t
|
wneuper@59394
|
285 |
| inst_bdv (instl: (term*term) list) t =
|
wneuper@59394
|
286 |
let
|
wneuper@59394
|
287 |
fun subst (v as Var((s, _), T)) =
|
wneuper@59394
|
288 |
(case Symbol.explode s of
|
wneuper@59394
|
289 |
"b"::"d"::"v"::_ => if_none (assoc(instl,Free(s,T))) (Free(s,T))
|
wneuper@59394
|
290 |
| _ => v)
|
wneuper@59394
|
291 |
| subst (Abs(a, T, body)) = Abs(a, T, subst body)
|
wneuper@59394
|
292 |
| subst (f $ t') = subst f $ subst t'
|
wneuper@59394
|
293 |
| subst t = if_none (assoc (instl, t)) t
|
wneuper@59394
|
294 |
in subst t end;
|
neuper@38025
|
295 |
|
wneuper@59494
|
296 |
(* is a term a substitution for a bdv as found in programs and tactics *)
|
neuper@42426
|
297 |
fun is_bdv_subst (Const ("List.list.Cons", _) $
|
wneuper@59494
|
298 |
(Const ("Product_Type.Pair", _) $ str $ _) $ _) = is_bdv (HOLogic.dest_string str)
|
neuper@42426
|
299 |
| is_bdv_subst _ = false;
|
neuper@42426
|
300 |
|
walther@59636
|
301 |
(* this shall be improved due to future requirements *)
|
walther@59636
|
302 |
fun guess_bdv_typ t = t |> vars |> hd |> type_of
|
walther@59636
|
303 |
|
wneuper@59392
|
304 |
fun free2str (Free (s, _)) = s
|
walther@59868
|
305 |
| free2str t = error ("free2str not for " ^ UnparseC.term t);
|
wneuper@59392
|
306 |
fun str_of_free_opt (Free (s, _)) = SOME s
|
neuper@52103
|
307 |
| str_of_free_opt _ = NONE
|
neuper@38025
|
308 |
|
wneuper@59392
|
309 |
(* compare Logic.unvarify_global, which rejects Free *)
|
wneuper@59392
|
310 |
fun var2free (t as Const _) = t
|
wneuper@59392
|
311 |
| var2free (t as Free _) = t
|
wneuper@59392
|
312 |
| var2free (Var((s, _), T)) = Free (s,T)
|
wneuper@59392
|
313 |
| var2free (t as Bound _) = t
|
wneuper@59392
|
314 |
| var2free (Abs(s, T, t)) = Abs(s, T, var2free t)
|
neuper@38025
|
315 |
| var2free (t1 $ t2) = (var2free t1) $ (var2free t2);
|
neuper@38025
|
316 |
|
wneuper@59392
|
317 |
(* Logic.varify does NOT take care of 'Free ("1", _)'*)
|
wneuper@59392
|
318 |
fun free2var (t as Const _) = t
|
wneuper@59390
|
319 |
| free2var (t as Free (s, T)) = if is_num' s then t else Var ((s, 0), T)
|
wneuper@59392
|
320 |
| free2var (t as Var _) = t
|
wneuper@59392
|
321 |
| free2var (t as Bound _) = t
|
neuper@38025
|
322 |
| free2var (Abs (s, T, t)) = Abs (s, T, free2var t)
|
neuper@38025
|
323 |
| free2var (t1 $ t2) = (free2var t1) $ (free2var t2);
|
neuper@38025
|
324 |
|
neuper@38025
|
325 |
fun mk_listT T = Type ("List.list", [T]);
|
wneuper@59392
|
326 |
fun list_const T = Const ("List.list.Cons", [T, mk_listT T] ---> mk_listT T);
|
wneuper@59392
|
327 |
fun list2isalist T [] = Const ("List.list.Nil", mk_listT T)
|
wneuper@59392
|
328 |
| list2isalist T (t :: ts) = (list_const T) $ t $ (list2isalist T ts);
|
neuper@38025
|
329 |
|
wneuper@59392
|
330 |
fun isapair2pair (Const ("Product_Type.Pair",_) $ a $ b) = (a, b)
|
neuper@38025
|
331 |
| isapair2pair t =
|
walther@59868
|
332 |
error ("isapair2pair called with " ^ UnparseC.term t);
|
neuper@38025
|
333 |
fun isalist2list ls =
|
neuper@38025
|
334 |
let
|
wneuper@59392
|
335 |
fun get es (Const("List.list.Cons", _) $ t $ ls) = get (t :: es) ls
|
wneuper@59392
|
336 |
| get es (Const("List.list.Nil", _)) = es
|
wneuper@59403
|
337 |
| get _ t = raise TERM ("isalist2list applied to NON-list: ", [t])
|
neuper@38025
|
338 |
in (rev o (get [])) ls end;
|
neuper@38025
|
339 |
|
wneuper@59392
|
340 |
fun is_list ((Const ("List.list.Cons", _)) $ _ $ _) = true
|
wneuper@59392
|
341 |
| is_list _ = false;
|
walther@59842
|
342 |
fun dest_listT (Type ("List.list", [T])) = T
|
walther@59842
|
343 |
| dest_listT T = raise TYPE ("dest_listT: list type expected", [T], []);
|
walther@59842
|
344 |
fun is_bool_list t =
|
walther@59842
|
345 |
(if dest_listT (Term.type_of t) = HOLogic.boolT then true else false)
|
walther@59842
|
346 |
handle TYPE _ => false
|
walther@59842
|
347 |
|
walther@59842
|
348 |
|
wneuper@59392
|
349 |
fun dest_binop_typ (Type ("fun", [range, Type ("fun", [arg2, arg1])])) = (arg1, arg2, range)
|
wneuper@59392
|
350 |
| dest_binop_typ _ = raise ERROR "dest_binop_typ: not binary";
|
wneuper@59392
|
351 |
fun dest_equals (Const("HOL.eq", _) $ t $ u) = (t, u) (* Pure/logic.ML: Const ("==", ..*)
|
wneuper@59390
|
352 |
| dest_equals t = raise TERM ("dest_equals'", [t]);
|
wneuper@59390
|
353 |
fun is_equality (Const("HOL.eq",_) $ _ $ _) = true (* logic.ML: Const("=="*)
|
neuper@38025
|
354 |
| is_equality _ = false;
|
wneuper@59392
|
355 |
fun mk_equality (t, u) = (Const("HOL.eq", [type_of t, type_of u] ---> HOLogic.boolT) $ t $ u);
|
wneuper@59390
|
356 |
fun is_expliceq (Const("HOL.eq",_) $ (Free _) $ _) = true
|
neuper@38025
|
357 |
| is_expliceq _ = false;
|
wneuper@59390
|
358 |
fun strip_trueprop (Const ("HOL.Trueprop", _) $ t) = t
|
neuper@38025
|
359 |
| strip_trueprop t = t;
|
neuper@38025
|
360 |
|
wneuper@59392
|
361 |
(* (A1==>...An==>B) goes to (A1==>...An==>) Pure/logic.ML: term -> term list*)
|
wneuper@59403
|
362 |
fun strip_imp_prems' (Const ("Pure.imp", _) $ A $ t) =
|
wneuper@59392
|
363 |
let
|
wneuper@59403
|
364 |
fun coll_prems As (Const("Pure.imp", _) $ A $ t) =
|
wneuper@59392
|
365 |
coll_prems (As $ (Logic.implies $ A)) t
|
wneuper@59392
|
366 |
| coll_prems As _ = SOME As
|
neuper@38025
|
367 |
in coll_prems (Logic.implies $ A) t end
|
wneuper@59392
|
368 |
| strip_imp_prems' _ = NONE; (* *)
|
neuper@38025
|
369 |
|
wneuper@59392
|
370 |
(* (A1==>...An==>) (B) goes to (A1==>...An==>B), where B is lowest branch, 2002 Pure/thm.ML *)
|
wneuper@59403
|
371 |
fun ins_concl (Const ("Pure.imp", _) $ A $ t) B = Logic.implies $ A $ (ins_concl t B)
|
wneuper@59403
|
372 |
| ins_concl (Const ("Pure.imp", _) $ A ) B = Logic.implies $ A $ B
|
wneuper@59390
|
373 |
| ins_concl t B = raise TERM ("ins_concl", [t, B]);
|
neuper@38025
|
374 |
|
wneuper@59392
|
375 |
fun vperm (Var _, Var _) = true (* 2002 Pure/thm.ML *)
|
neuper@38025
|
376 |
| vperm (Abs (_, _, s), Abs (_, _, t)) = vperm (s, t)
|
neuper@38025
|
377 |
| vperm (t1 $ t2, u1 $ u2) = vperm (t1, u1) andalso vperm (t2, u2)
|
neuper@38025
|
378 |
| vperm (t, u) = (t = u);
|
neuper@38025
|
379 |
|
neuper@38025
|
380 |
(*2002 cp from Pure/term.ML --- since 2009 in Pure/old_term.ML*)
|
neuper@38025
|
381 |
fun mem_term (_, []) = false
|
wneuper@59392
|
382 |
| mem_term (t, t' :: ts) = t aconv t' orelse mem_term (t, ts);
|
wneuper@59390
|
383 |
fun subset_term ([], _) = true
|
wneuper@59390
|
384 |
| subset_term (x :: xs, ys) = mem_term (x, ys) andalso subset_term (xs, ys);
|
neuper@38025
|
385 |
fun eq_set_term (xs, ys) =
|
neuper@38025
|
386 |
xs = ys orelse (subset_term (xs, ys) andalso subset_term (ys, xs));
|
neuper@38025
|
387 |
(*a total, irreflexive ordering on index names*)
|
wneuper@59392
|
388 |
fun xless ((a, i), (b, j): indexname) = i<j orelse (i = j andalso a < b);
|
neuper@38025
|
389 |
(*a partial ordering (not reflexive) for atomic terms*)
|
wneuper@59392
|
390 |
fun atless (Const (a, _), Const (b, _)) = a < b
|
wneuper@59392
|
391 |
| atless (Free (a, _), Free (b, _)) = a < b
|
wneuper@59392
|
392 |
| atless (Var (v, _), Var (w, _)) = xless (v, w)
|
wneuper@59392
|
393 |
| atless (Bound i, Bound j) = i < j
|
wneuper@59392
|
394 |
| atless _ = false;
|
neuper@38025
|
395 |
(*insert atomic term into partially sorted list, suppressing duplicates (?)*)
|
neuper@38025
|
396 |
fun insert_aterm (t,us) =
|
neuper@38025
|
397 |
let fun inserta [] = [t]
|
neuper@38025
|
398 |
| inserta (us as u::us') =
|
neuper@38025
|
399 |
if atless(t,u) then t::us
|
neuper@38025
|
400 |
else if t=u then us (*duplicate*)
|
wneuper@59392
|
401 |
else u :: inserta us'
|
wneuper@59392
|
402 |
in inserta us end;
|
neuper@38025
|
403 |
|
wneuper@59390
|
404 |
(* Accumulates the Vars in the term, suppressing duplicates *)
|
neuper@38025
|
405 |
fun add_term_vars (t, vars: term list) = case t of
|
wneuper@59392
|
406 |
Var _ => insert_aterm (t, vars)
|
wneuper@59392
|
407 |
| Abs (_, _, body) => add_term_vars (body, vars)
|
wneuper@59392
|
408 |
| f$t => add_term_vars (f, add_term_vars (t, vars))
|
neuper@38025
|
409 |
| _ => vars;
|
wneuper@59390
|
410 |
fun term_vars t = add_term_vars (t, []);
|
neuper@38025
|
411 |
|
wneuper@59392
|
412 |
(*2002 Pure/thm.ML *)
|
wneuper@59392
|
413 |
fun var_perm (t, u) = vperm (t, u) andalso eq_set_term (term_vars t, term_vars u);
|
neuper@38025
|
414 |
(*2002 fun decomp_simp, Pure/thm.ML *)
|
wneuper@59390
|
415 |
fun perm lhs rhs = var_perm (lhs, rhs) andalso not (lhs aconv rhs) andalso not (is_Var lhs);
|
neuper@38025
|
416 |
|
neuper@38025
|
417 |
|
neuper@38025
|
418 |
fun pairT T1 T2 = Type ("*", [T1, T2]);
|
neuper@38025
|
419 |
fun PairT T1 T2 = ([T1, T2] ---> Type ("*", [T1, T2]));
|
wneuper@59392
|
420 |
fun pairt t1 t2 = Const ("Product_Type.Pair", PairT (type_of t1) (type_of t2)) $ t1 $ t2;
|
neuper@38025
|
421 |
|
neuper@38025
|
422 |
fun mk_factroot op_(*=thy.sqrt*) T fact root =
|
neuper@38034
|
423 |
Const ("Groups.times_class.times", [T, T] ---> T) $ (term_of_num T fact) $
|
wneuper@59392
|
424 |
(Const (op_, T --> T) $ term_of_num T root);
|
wneuper@59390
|
425 |
fun mk_var_op_num v op_ optype ntyp n = Const (op_, optype) $ v $ Free (str_of_int n, ntyp);
|
wneuper@59390
|
426 |
fun mk_num_op_var v op_ optype ntyp n = Const (op_, optype) $ Free (str_of_int n, ntyp) $ v;
|
wneuper@59390
|
427 |
fun mk_num_op_num T1 T2 (op_, Top) n1 n2 =
|
wneuper@59390
|
428 |
Const (op_, Top) $ Free (str_of_int n1, T1) $ Free (str_of_int n2, T2);
|
wneuper@59392
|
429 |
fun mk_thmid thmid n1 n2 =
|
wneuper@59392
|
430 |
thmid ^ (strip_thy n1) ^ "_" ^ (strip_thy n2);
|
wneuper@59392
|
431 |
fun mk_add t1 t2 =
|
wneuper@59392
|
432 |
let
|
wneuper@59392
|
433 |
val (T1, T2) = (type_of t1, type_of t2)
|
wneuper@59392
|
434 |
in
|
wneuper@59392
|
435 |
if T1 <> T2 then raise TYPE ("mk_add gets ", [T1, T2], [t1,t2])
|
wneuper@59392
|
436 |
else (Const ("Groups.plus_class.plus", [T1, T2] ---> T1) $ t1 $ t2)
|
wneuper@59392
|
437 |
end;
|
neuper@38025
|
438 |
|
neuper@38025
|
439 |
(** transform binary numeralsstrings **)
|
walther@59871
|
440 |
val numbers_to_string = ThmC_Def.numbers_to_string
|
walther@59871
|
441 |
val uminus_to_string = ThmC_Def.numbers_to_string
|
neuper@38025
|
442 |
|
wneuper@59392
|
443 |
fun mk_Free (s,T) = Free (s, T);
|
wneuper@59392
|
444 |
fun mk_free T s = Free (s, T);
|
neuper@38025
|
445 |
|
neuper@38025
|
446 |
(*Special case: one argument cp from Isabelle2002/src/Pure/term.ML*)
|
wneuper@59392
|
447 |
fun subst_bound (arg, t) =
|
wneuper@59392
|
448 |
let
|
wneuper@59392
|
449 |
fun subst (t as Bound i, lev) =
|
wneuper@59392
|
450 |
if i < lev then t (*var is locally bound*)
|
wneuper@59392
|
451 |
else if i = lev then incr_boundvars lev arg
|
wneuper@59392
|
452 |
else Bound (i - 1) (*loose: change it*)
|
wneuper@59392
|
453 |
| subst (Abs(a, T, body), lev) = Abs (a, T, subst (body, lev + 1))
|
wneuper@59392
|
454 |
| subst (f$t, lev) = subst(f, lev) $ subst(t, lev)
|
wneuper@59392
|
455 |
| subst (t, _) = t
|
wneuper@59392
|
456 |
in subst (t, 0) end;
|
neuper@38025
|
457 |
|
walther@59691
|
458 |
(* instantiate let; necessary for scan_up1 *)
|
wneuper@59394
|
459 |
fun inst_abs (Const sT) = Const sT
|
wneuper@59393
|
460 |
| inst_abs (Free sT) = Free sT
|
wneuper@59393
|
461 |
| inst_abs (Bound n) = Bound n
|
wneuper@59393
|
462 |
| inst_abs (Var iT) = Var iT
|
wneuper@59393
|
463 |
| inst_abs (Const ("HOL.Let",T1) $ e $ (Abs (v, T2, b))) =
|
wneuper@59394
|
464 |
let val b' = subst_bound (Free (v, T2), b); (*fun variant_abs: term.ML*)
|
wneuper@59393
|
465 |
in Const ("HOL.Let", T1) $ inst_abs e $ (Abs (v, T2, inst_abs b')) end
|
wneuper@59393
|
466 |
| inst_abs (t1 $ t2) = inst_abs t1 $ inst_abs t2
|
wneuper@59393
|
467 |
| inst_abs t = t;
|
neuper@38025
|
468 |
|
neuper@38037
|
469 |
(* for parse and parse_patt: fix all types to real *)
|
neuper@38025
|
470 |
fun T_a2real (Type (s, [])) =
|
wneuper@59394
|
471 |
if s = "'a" orelse s = "'b" orelse s = "'c" then HOLogic.realT else Type (s, [])
|
neuper@38025
|
472 |
| T_a2real (Type (s, Ts)) = Type (s, map T_a2real Ts)
|
neuper@38025
|
473 |
| T_a2real (TFree (s, srt)) =
|
wneuper@59394
|
474 |
if s = "'a" orelse s = "'b" orelse s = "'c" then HOLogic.realT else TFree (s, srt)
|
wneuper@59394
|
475 |
| T_a2real (TVar (("DUMMY", _), _)) = HOLogic.realT
|
neuper@38037
|
476 |
| T_a2real (TVar ((s, i), srt)) =
|
wneuper@59394
|
477 |
if s = "'a" orelse s = "'b" orelse s = "'c" then HOLogic.realT else TVar ((s, i), srt)
|
neuper@38025
|
478 |
fun typ_a2real (Const( s, T)) = (Const( s, T_a2real T))
|
neuper@38025
|
479 |
| typ_a2real (Free( s, T)) = (Free( s, T_a2real T))
|
neuper@38025
|
480 |
| typ_a2real (Var( n, T)) = (Var( n, T_a2real T))
|
neuper@38025
|
481 |
| typ_a2real (Bound i) = (Bound i)
|
neuper@38025
|
482 |
| typ_a2real (Abs(s,T,t)) = Abs(s, T, typ_a2real t)
|
neuper@38025
|
483 |
| typ_a2real (t1 $ t2) = (typ_a2real t1) $ (typ_a2real t2);
|
neuper@38025
|
484 |
|
wneuper@59394
|
485 |
(* TODO clarify parse with Test_Isac *)
|
wneuper@59394
|
486 |
fun parseold thy str = (* before 2002 *)
|
wneuper@59394
|
487 |
(let val t = ((*typ_a2real o*) numbers_to_string) (Syntax.read_term_global thy str)
|
wneuper@59184
|
488 |
in SOME (Thm.global_cterm_of thy t) end)
|
wneuper@59394
|
489 |
handle _(*EXN? ..Inner syntax error Failed to parse term*) => NONE;
|
wneuper@59394
|
490 |
fun parseN thy str = (* introduced 2002 *)
|
wneuper@59394
|
491 |
(let val t = (*(typ_a2real o numbers_to_string)*) (Syntax.read_term_global thy str)
|
wneuper@59184
|
492 |
in SOME (Thm.global_cterm_of thy t) end)
|
wneuper@59394
|
493 |
handle _(*EXN? ..Inner syntax error Failed to parse term*) => NONE;
|
wneuper@59394
|
494 |
fun parse thy str = (* introduced 2010 *)
|
wneuper@59394
|
495 |
(let val t = (typ_a2real o numbers_to_string) (Syntax.read_term_global thy str)
|
wneuper@59394
|
496 |
in SOME (Thm.global_cterm_of thy t) end)
|
wneuper@59394
|
497 |
handle _(*EXN? ..Inner syntax error Failed to parse term*) => NONE;
|
neuper@38025
|
498 |
|
neuper@41931
|
499 |
(*WN110317 parseNEW will replace parse after introduction of ctxt completed*)
|
bonzai@41949
|
500 |
fun parseNEW ctxt str = SOME (Syntax.read_term ctxt str |> numbers_to_string)
|
wneuper@59394
|
501 |
handle _ => NONE;
|
wneuper@59582
|
502 |
fun parseNEW' ctxt str =
|
wneuper@59582
|
503 |
case parseNEW ctxt str of
|
wneuper@59582
|
504 |
SOME t => t
|
wneuper@59582
|
505 |
| NONE => raise TERM ("NO parseNEW' for " ^ str, [])
|
wneuper@59582
|
506 |
|
neuper@48879
|
507 |
(* parse term patterns; Var ("v",_), i.e. "?v", are required for instantiation
|
neuper@48879
|
508 |
WN130613 probably compare to
|
neuper@48879
|
509 |
http://www.mail-archive.com/isabelle-dev@mailbroy.informatik.tu-muenchen.de/msg04249.html*)
|
wneuper@59394
|
510 |
fun parse_patt thy str =
|
walther@59854
|
511 |
(thy, str) |>> ThyC.thy2ctxt
|
wneuper@59394
|
512 |
|-> Proof_Context.read_term_pattern
|
wneuper@59394
|
513 |
|> numbers_to_string (*TODO drop*)
|
wneuper@59394
|
514 |
|> typ_a2real; (*TODO drop*)
|
walther@59854
|
515 |
fun str2term str = parse_patt (ThyC.Thy_Info_get_theory "Isac_Knowledge") str
|
neuper@38025
|
516 |
|
wneuper@59394
|
517 |
(* TODO decide with Test_Isac *)
|
wneuper@59394
|
518 |
fun is_atom t = length (vars t) = 1
|
neuper@38025
|
519 |
fun is_atom (Const ("Float.Float",_) $ _) = true
|
neuper@38025
|
520 |
| is_atom (Const ("ComplexI.I'_'_",_)) = true
|
neuper@38034
|
521 |
| is_atom (Const ("Groups.times_class.times",_) $ t $ Const ("ComplexI.I'_'_",_)) = is_atom t
|
neuper@38025
|
522 |
| is_atom (Const ("Groups.plus_class.plus",_) $ t1 $ Const ("ComplexI.I'_'_",_)) = is_atom t1
|
neuper@38025
|
523 |
| is_atom (Const ("Groups.plus_class.plus",_) $ t1 $
|
neuper@38034
|
524 |
(Const ("Groups.times_class.times",_) $ t2 $ Const ("ComplexI.I'_'_",_))) =
|
neuper@38025
|
525 |
is_atom t1 andalso is_atom t2
|
neuper@38025
|
526 |
| is_atom (Const _) = true
|
neuper@38025
|
527 |
| is_atom (Free _) = true
|
neuper@38025
|
528 |
| is_atom (Var _) = true
|
neuper@38025
|
529 |
| is_atom _ = false;
|
neuper@38025
|
530 |
|
wneuper@59394
|
531 |
(* from Pure/term.ML; reports if ALL Free's have found a substitution
|
wneuper@59394
|
532 |
(required for evaluating the preconditions of _incomplete_ models) *)
|
wneuper@59394
|
533 |
fun subst_atomic_all [] t = (false (*TODO may be 'true' for some terms ?*), t)
|
wneuper@59394
|
534 |
| subst_atomic_all instl t =
|
wneuper@59394
|
535 |
let
|
wneuper@59394
|
536 |
fun subst (Abs (a, T, body)) =
|
wneuper@59394
|
537 |
let
|
wneuper@59394
|
538 |
val (all, body') = subst body
|
wneuper@59394
|
539 |
in (all, Abs(a, T, body')) end
|
wneuper@59394
|
540 |
| subst (f$tt) =
|
wneuper@59394
|
541 |
let
|
wneuper@59394
|
542 |
val (all1, f') = subst f
|
wneuper@59394
|
543 |
val (all2, tt') = subst tt
|
wneuper@59394
|
544 |
in (all1 andalso all2, f' $ tt') end
|
wneuper@59394
|
545 |
| subst (t as Free _) =
|
wneuper@59394
|
546 |
if is_num t then (true, t) (*numerals cannot be subst*)
|
wneuper@59394
|
547 |
else (case assoc (instl, t) of
|
wneuper@59394
|
548 |
SOME t' => (true, t')
|
wneuper@59394
|
549 |
| NONE => (false, t))
|
wneuper@59394
|
550 |
| subst t = (true, if_none (assoc(instl,t)) t)
|
wneuper@59394
|
551 |
in subst t end;
|
wneuper@59389
|
552 |
|
wneuper@59507
|
553 |
fun op contains_one_of (thm, ids) =
|
wneuper@59507
|
554 |
Term.exists_Const (fn id => member op= ids id) (Thm.prop_of thm)
|
wneuper@59507
|
555 |
|
wneuper@59532
|
556 |
fun var_for vs (t as Const (str, _)) id = if id = strip_thy str then t :: vs else vs
|
wneuper@59532
|
557 |
| var_for vs (t as Free (str, _)) id = if id = str then t :: vs else vs
|
wneuper@59532
|
558 |
| var_for vs (t as Var (idn, _)) id = if id = Term.string_of_vname idn then t :: vs else vs
|
wneuper@59532
|
559 |
| var_for vs (Bound _) _ = vs
|
wneuper@59532
|
560 |
| var_for vs (Abs (_, _, t)) id = var_for vs t id
|
wneuper@59532
|
561 |
| var_for vs (t1 $ t2) id = (var_for vs t1 id) @ (var_for vs t2 id)
|
wneuper@59532
|
562 |
|
wneuper@59532
|
563 |
val poly_consts = (* TODO: adopt syntax-const from Isabelle*)
|
wneuper@59532
|
564 |
["Groups.plus_class.plus", "Groups.minus_class.minus",
|
wneuper@59532
|
565 |
"Rings.divide_class.divide", "Groups.times_class.times",
|
walther@59603
|
566 |
"Prog_Expr.pow"];
|
wneuper@59532
|
567 |
(* treat Free, Const, Var as variables in polynomials *)
|
wneuper@59532
|
568 |
fun vars_of t =
|
wneuper@59532
|
569 |
let
|
wneuper@59532
|
570 |
val var_ids = t |> ids2str |> subtract op = poly_consts |> map strip_thy |> sort string_ord
|
wneuper@59532
|
571 |
in (map (var_for [] t) var_ids) |> flat |> distinct end
|
wneuper@59532
|
572 |
|
wneuper@59577
|
573 |
(* this may decompose an object-language isa-list;
|
wneuper@59577
|
574 |
use only, if description is not available, eg. not input ?WN:14.5.03 ??!?*)
|
wneuper@59577
|
575 |
fun dest_list' t = if is_list t then isalist2list t else [t];
|
wneuper@59577
|
576 |
|
walther@59842
|
577 |
fun negat (Const ("HOL.Not", _) $ P, P') = P = P'
|
walther@59842
|
578 |
| negat _ = false
|
walther@59842
|
579 |
fun negates p1 p2 = negat (p1, p2) orelse negat (swap (p1, p2));
|
walther@59842
|
580 |
|
wneuper@59580
|
581 |
fun raise_type_conflicts ts =
|
wneuper@59580
|
582 |
let
|
wneuper@59580
|
583 |
val dups = duplicates (op =) (map (fst o dest_Free) ts)
|
wneuper@59580
|
584 |
val confl = filter (fn Free (str, _) => member op = dups str) ts
|
wneuper@59580
|
585 |
in
|
wneuper@59580
|
586 |
if confl = []
|
wneuper@59580
|
587 |
then ()
|
wneuper@59582
|
588 |
else raise TYPE ("formalisation inconsistent w.r.t. type inference: ",
|
wneuper@59580
|
589 |
map (snd o dest_Free)confl, confl)
|
wneuper@59580
|
590 |
end
|
wneuper@59580
|
591 |
|
walther@59716
|
592 |
(* expects t as Const *)
|
walther@59717
|
593 |
fun contains_Const_typeless ts t = (t
|
walther@59716
|
594 |
|> strip_comb |> fst
|
walther@59716
|
595 |
|> member (fn (t1, t2) => fst (dest_Const t1) = fst (dest_Const t2)) ts
|
walther@59717
|
596 |
) handle TERM("dest_Const", _) => raise TERM ("contains_Const_typeless", [t])
|
walther@59716
|
597 |
|
walther@59716
|
598 |
|
wneuper@59389
|
599 |
end |