src/Pure/thm.ML
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(*  Title:      Pure/thm.ML
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    ID:         $Id$
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    Author:     Lawrence C Paulson, Cambridge University Computer Laboratory
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    Copyright   1994  University of Cambridge
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The core of Isabelle's Meta Logic: certified types and terms, meta
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theorems, theories, meta rules (including resolution and
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simplification).
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*)
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signature THM =
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sig
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  structure Envir       : ENVIR
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  structure Sequence    : SEQUENCE
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  structure Sign        : SIGN
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  (*certified types*)
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  type ctyp
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  val rep_ctyp          : ctyp -> {sign: Sign.sg, T: typ}
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  val typ_of            : ctyp -> typ
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  val ctyp_of           : Sign.sg -> typ -> ctyp
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  val read_ctyp         : Sign.sg -> string -> ctyp
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  (*certified terms*)
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  type cterm
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  val rep_cterm         : cterm -> {sign: Sign.sg, t: term, T: typ, maxidx: int}
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  val term_of           : cterm -> term
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  val cterm_of          : Sign.sg -> term -> cterm
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  val read_cterm        : Sign.sg -> string * typ -> cterm
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  val cterm_fun         : (term -> term) -> (cterm -> cterm)
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  val dest_cimplies     : cterm -> cterm * cterm
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  val read_def_cterm    :
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    Sign.sg * (indexname -> typ option) * (indexname -> sort option) ->
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    string list -> bool -> string * typ -> cterm * (indexname * typ) list
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  (*meta theorems*)
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  type thm
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  exception THM of string * int * thm list
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  val rep_thm           : thm -> {sign: Sign.sg, maxidx: int,
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    shyps: sort list, hyps: term list, prop: term}
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  val stamps_of_thm     : thm -> string ref list
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  val tpairs_of         : thm -> (term * term) list
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  val prems_of          : thm -> term list
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  val nprems_of         : thm -> int
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  val concl_of          : thm -> term
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  val cprop_of          : thm -> cterm
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  val extra_shyps       : thm -> sort list
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  val force_strip_shyps : bool ref      (* FIXME tmp *)
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  val strip_shyps       : thm -> thm
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  val implies_intr_shyps: thm -> thm
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  val cert_axm          : Sign.sg -> string * term -> string * term
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  val read_axm          : Sign.sg -> string * string -> string * term
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  val inferT_axm        : Sign.sg -> string * term -> string * term
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  (*theories*)
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  type theory
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  exception THEORY of string * theory list
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  val rep_theory        : theory ->
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    {sign: Sign.sg, new_axioms: term Sign.Symtab.table, parents: theory list}
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  val sign_of           : theory -> Sign.sg
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  val syn_of            : theory -> Sign.Syntax.syntax
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  val stamps_of_thy     : theory -> string ref list
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  val parents_of        : theory -> theory list
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  val subthy            : theory * theory -> bool
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  val eq_thy            : theory * theory -> bool
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  val get_axiom         : theory -> string -> thm
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  val axioms_of         : theory -> (string * thm) list
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  val proto_pure_thy    : theory
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  val pure_thy          : theory
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  val cpure_thy         : theory
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  local open Sign.Syntax in
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    val add_classes     : (class * class list) list -> theory -> theory
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    val add_classrel    : (class * class) list -> theory -> theory
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    val add_defsort     : sort -> theory -> theory
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    val add_types       : (string * int * mixfix) list -> theory -> theory
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    val add_tyabbrs     : (string * string list * string * mixfix) list
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      -> theory -> theory
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    val add_tyabbrs_i   : (string * string list * typ * mixfix) list
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      -> theory -> theory
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    val add_arities     : (string * sort list * sort) list -> theory -> theory
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    val add_consts      : (string * string * mixfix) list -> theory -> theory
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    val add_consts_i    : (string * typ * mixfix) list -> theory -> theory
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    val add_syntax      : (string * string * mixfix) list -> theory -> theory
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    val add_syntax_i    : (string * typ * mixfix) list -> theory -> theory
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    val add_trfuns      :
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      (string * (ast list -> ast)) list *
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      (string * (term list -> term)) list *
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      (string * (term list -> term)) list *
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      (string * (ast list -> ast)) list -> theory -> theory
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    val add_trrules     : (string * string) trrule list -> theory -> theory
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    val add_trrules_i   : ast trrule list -> theory -> theory
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    val add_axioms      : (string * string) list -> theory -> theory
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    val add_axioms_i    : (string * term) list -> theory -> theory
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    val add_thyname     : string -> theory -> theory
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  end
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  val merge_theories    : theory * theory -> theory
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  val merge_thy_list    : bool -> theory list -> theory
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  (*meta rules*)
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  val assume            : cterm -> thm
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  val implies_intr      : cterm -> thm -> thm
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  val implies_elim      : thm -> thm -> thm
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  val forall_intr       : cterm -> thm -> thm
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  val forall_elim       : cterm -> thm -> thm
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  val flexpair_def      : thm
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  val reflexive         : cterm -> thm
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  val symmetric         : thm -> thm
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  val transitive        : thm -> thm -> thm
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  val beta_conversion   : cterm -> thm
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  val extensional       : thm -> thm
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  val abstract_rule     : string -> cterm -> thm -> thm
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  val combination       : thm -> thm -> thm
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  val equal_intr        : thm -> thm -> thm
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  val equal_elim        : thm -> thm -> thm
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  val implies_intr_hyps : thm -> thm
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  val flexflex_rule     : thm -> thm Sequence.seq
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  val instantiate       :
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    (indexname * ctyp) list * (cterm * cterm) list -> thm -> thm
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  val trivial           : cterm -> thm
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  val class_triv        : theory -> class -> thm
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  val varifyT           : thm -> thm
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  val freezeT           : thm -> thm
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  val dest_state        : thm * int ->
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    (term * term) list * term list * term * term
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  val lift_rule         : (thm * int) -> thm -> thm
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  val assumption        : int -> thm -> thm Sequence.seq
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  val eq_assumption     : int -> thm -> thm
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  val rename_params_rule: string list * int -> thm -> thm
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  val bicompose         : bool -> bool * thm * int ->
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    int -> thm -> thm Sequence.seq
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  val biresolution      : bool -> (bool * thm) list ->
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    int -> thm -> thm Sequence.seq
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  (*meta simplification*)
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  type meta_simpset
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  exception SIMPLIFIER of string * thm
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  val empty_mss         : meta_simpset
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  val add_simps         : meta_simpset * thm list -> meta_simpset
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  val del_simps         : meta_simpset * thm list -> meta_simpset
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  val mss_of            : thm list -> meta_simpset
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  val add_congs         : meta_simpset * thm list -> meta_simpset
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  val add_prems         : meta_simpset * thm list -> meta_simpset
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  val prems_of_mss      : meta_simpset -> thm list
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  val set_mk_rews       : meta_simpset * (thm -> thm list) -> meta_simpset
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  val mk_rews_of_mss    : meta_simpset -> thm -> thm list
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  val trace_simp        : bool ref
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  val rewrite_cterm     : bool * bool -> meta_simpset ->
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    (meta_simpset -> thm -> thm option) -> cterm -> thm
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end;
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functor ThmFun (structure Logic: LOGIC and Unify: UNIFY and Pattern: PATTERN
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  and Net:NET sharing type Pattern.type_sig = Unify.Sign.Type.type_sig): THM =
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struct
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structure Sequence = Unify.Sequence;
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structure Envir = Unify.Envir;
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structure Sign = Unify.Sign;
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structure Type = Sign.Type;
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structure Syntax = Sign.Syntax;
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structure Symtab = Sign.Symtab;
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(*** Certified terms and types ***)
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(** certified types **)
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(*certified typs under a signature*)
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datatype ctyp = Ctyp of {sign: Sign.sg, T: typ};
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fun rep_ctyp (Ctyp args) = args;
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fun typ_of (Ctyp {T, ...}) = T;
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fun ctyp_of sign T =
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  Ctyp {sign = sign, T = Sign.certify_typ sign T};
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fun read_ctyp sign s =
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  Ctyp {sign = sign, T = Sign.read_typ (sign, K None) s};
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(** certified terms **)
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(*certified terms under a signature, with checked typ and maxidx of Vars*)
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datatype cterm = Cterm of {sign: Sign.sg, t: term, T: typ, maxidx: int};
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fun rep_cterm (Cterm args) = args;
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fun term_of (Cterm {t, ...}) = t;
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(*create a cterm by checking a "raw" term with respect to a signature*)
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fun cterm_of sign tm =
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  let val (t, T, maxidx) = Sign.certify_term sign tm
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  in Cterm {sign = sign, t = t, T = T, maxidx = maxidx}
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  end handle TYPE (msg, _, _)
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    => raise TERM ("Term not in signature\n" ^ msg, [tm]);
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fun cterm_fun f (Cterm {sign, t, ...}) = cterm_of sign (f t);
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(*dest_implies for cterms. Note T=prop below*)
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fun dest_cimplies (Cterm{sign, T, maxidx, t=Const("==>", _) $ A $ B}) =
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       (Cterm{sign=sign, T=T, maxidx=maxidx, t=A},
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        Cterm{sign=sign, T=T, maxidx=maxidx, t=B})
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  | dest_cimplies ct = raise TERM ("dest_cimplies", [term_of ct]);
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(** read cterms **)   (*exception ERROR*)
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(*read term, infer types, certify term*)
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fun read_def_cterm (sign, types, sorts) used freeze (a, T) =
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  let
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    val T' = Sign.certify_typ sign T
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      handle TYPE (msg, _, _) => error msg;
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    val ts = Syntax.read (#syn (Sign.rep_sg sign)) T' a;
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    val (_, t', tye) =
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          Sign.infer_types sign types sorts used freeze (ts, T');
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    val ct = cterm_of sign t'
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      handle TERM (msg, _) => error msg;
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  in (ct, tye) end;
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fun read_cterm sign = #1 o read_def_cterm (sign, K None, K None) [] true;
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(*** Meta theorems ***)
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(* FIXME comment *)
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datatype thm = Thm of
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  {sign: Sign.sg, maxidx: int,
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    shyps: sort list, hyps: term list, prop: term};
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fun rep_thm (Thm args) = args;
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(*errors involving theorems*)
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exception THM of string * int * thm list;
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val sign_of_thm = #sign o rep_thm;
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val stamps_of_thm = #stamps o Sign.rep_sg o sign_of_thm;
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(*merge signatures of two theorems; raise exception if incompatible*)
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fun merge_thm_sgs (th1, th2) =
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  Sign.merge (pairself sign_of_thm (th1, th2))
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    handle TERM (msg, _) => raise THM (msg, 0, [th1, th2]);
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(*maps object-rule to tpairs*)
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fun tpairs_of (Thm {prop, ...}) = #1 (Logic.strip_flexpairs prop);
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(*maps object-rule to premises*)
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fun prems_of (Thm {prop, ...}) =
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  Logic.strip_imp_prems (Logic.skip_flexpairs prop);
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(*counts premises in a rule*)
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fun nprems_of (Thm {prop, ...}) =
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  Logic.count_prems (Logic.skip_flexpairs prop, 0);
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(*maps object-rule to conclusion*)
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fun concl_of (Thm {prop, ...}) = Logic.strip_imp_concl prop;
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(*the statement of any thm is a cterm*)
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fun cprop_of (Thm {sign, maxidx, prop, ...}) =
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  Cterm {sign = sign, maxidx = maxidx, T = propT, t = prop};
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(** sort contexts of theorems **)
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(* basic utils *)
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(*accumulate sorts suppressing duplicates; these are coded low level
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  to improve efficiency a bit*)
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fun add_typ_sorts (Type (_, Ts), Ss) = add_typs_sorts (Ts, Ss)
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  | add_typ_sorts (TFree (_, S), Ss) = S ins Ss
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  | add_typ_sorts (TVar (_, S), Ss) = S ins Ss
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and add_typs_sorts ([], Ss) = Ss
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  | add_typs_sorts (T :: Ts, Ss) = add_typs_sorts (Ts, add_typ_sorts (T, Ss));
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fun add_term_sorts (Const (_, T), Ss) = add_typ_sorts (T, Ss)
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  | add_term_sorts (Free (_, T), Ss) = add_typ_sorts (T, Ss)
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  | add_term_sorts (Var (_, T), Ss) = add_typ_sorts (T, Ss)
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  | add_term_sorts (Bound _, Ss) = Ss
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  | add_term_sorts (Abs (_, T, t), Ss) = add_term_sorts (t, add_typ_sorts (T, Ss))
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  | add_term_sorts (t $ u, Ss) = add_term_sorts (t, add_term_sorts (u, Ss));
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fun add_terms_sorts ([], Ss) = Ss
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  | add_terms_sorts (t :: ts, Ss) = add_terms_sorts (ts, add_term_sorts (t, Ss));
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fun env_codT (Envir.Envir {iTs, ...}) = map snd iTs;
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fun add_env_sorts (env, Ss) =
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  add_terms_sorts (map snd (Envir.alist_of env),
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    add_typs_sorts (env_codT env, Ss));
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fun add_thm_sorts (Thm {hyps, prop, ...}, Ss) =
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  add_terms_sorts (hyps, add_term_sorts (prop, Ss));
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fun add_thms_shyps ([], Ss) = Ss
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  | add_thms_shyps (Thm {shyps, ...} :: ths, Ss) =
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      add_thms_shyps (ths, shyps union Ss);
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(*get 'dangling' sort constraints of a thm*)
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fun extra_shyps (th as Thm {shyps, ...}) =
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  shyps \\ add_thm_sorts (th, []);
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(* fix_shyps *)
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(*preserve sort contexts of rule premises and substituted types*)
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fun fix_shyps thms Ts thm =
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  let
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    val Thm {sign, maxidx, hyps, prop, ...} = thm;
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    val shyps =
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      add_thm_sorts (thm, add_typs_sorts (Ts, add_thms_shyps (thms, [])));
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  in
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    Thm {sign = sign, maxidx = maxidx,
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      shyps = shyps, hyps = hyps, prop = prop}
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  end;
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(* strip_shyps *)       (* FIXME improve? (e.g. only minimal extra sorts) *)
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val force_strip_shyps = ref true;  (* FIXME tmp *)
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(*remove extra sorts that are known to be syntactically non-empty*)
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fun strip_shyps thm =
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  let
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    val Thm {sign, maxidx, shyps, hyps, prop} = thm;
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    val sorts = add_thm_sorts (thm, []);
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    val maybe_empty = not o Sign.nonempty_sort sign sorts;
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    val shyps' = filter (fn S => S mem sorts orelse maybe_empty S) shyps;
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  in
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    Thm {sign = sign, maxidx = maxidx,
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      shyps =
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       (if eq_set (shyps', sorts) orelse not (! force_strip_shyps) then shyps'
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        else    (* FIXME tmp *)
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         (writeln ("WARNING Removed sort hypotheses: " ^
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           commas (map Type.str_of_sort (shyps' \\ sorts)));
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           writeln "WARNING Let's hope these sorts are non-empty!";
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           sorts)),
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      hyps = hyps, prop = prop}
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  end;
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(* implies_intr_shyps *)
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(*discharge all extra sort hypotheses*)
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fun implies_intr_shyps thm =
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  (case extra_shyps thm of
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    [] => thm
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  | xshyps =>
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      let
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        val Thm {sign, maxidx, shyps, hyps, prop} = thm;
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        val shyps' = logicS ins (shyps \\ xshyps);
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        val used_names = foldr add_term_tfree_names (prop :: hyps, []);
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        val names =
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          tl (variantlist (replicate (length xshyps + 1) "'", used_names));
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        val tfrees = map (TFree o rpair logicS) names;
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   363
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        fun mk_insort (T, S) = map (Logic.mk_inclass o pair T) S;
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        val sort_hyps = flat (map2 mk_insort (tfrees, xshyps));
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      in
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        Thm {sign = sign, maxidx = maxidx, shyps = shyps',
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          hyps = hyps, prop = Logic.list_implies (sort_hyps, prop)}
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   369
      end);
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   370
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387
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(*** Theories ***)
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datatype theory =
399
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  Theory of {
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    sign: Sign.sg,
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    new_axioms: term Symtab.table,
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    parents: theory list};
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387
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fun rep_theory (Theory args) = args;
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   382
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   383
(*errors involving theories*)
0
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exception THEORY of string * theory list;
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   385
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387
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val sign_of = #sign o rep_theory;
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val syn_of = #syn o Sign.rep_sg o sign_of;
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   389
387
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(*stamps associated with a theory*)
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   391
val stamps_of_thy = #stamps o Sign.rep_sg o sign_of;
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   392
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   393
(*return the immediate ancestors*)
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   394
val parents_of = #parents o rep_theory;
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   395
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   396
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   397
(*compare theories*)
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   398
val subthy = Sign.subsig o pairself sign_of;
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   399
val eq_thy = Sign.eq_sg o pairself sign_of;
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   400
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   401
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   402
(*look up the named axiom in the theory*)
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   403
fun get_axiom theory name =
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   404
  let
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   405
    fun get_ax [] = raise Match
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   406
      | get_ax (Theory {sign, new_axioms, parents} :: thys) =
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   407
          (case Symtab.lookup (new_axioms, name) of
1238
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   408
            Some t => fix_shyps [] []
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   409
              (Thm {sign = sign, maxidx = maxidx_of_term t,
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   410
                shyps = [], hyps = [], prop = t})
387
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   411
          | None => get_ax parents handle Match => get_ax thys);
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   412
  in
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   413
    get_ax [theory] handle Match
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   414
      => raise THEORY ("get_axiom: no axiom " ^ quote name, [theory])
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   415
  end;
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diff changeset
   416
776
df8f91c0e57c improved axioms_of: returns thms as the manual says;
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   417
(*return additional axioms of this theory node*)
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   418
fun axioms_of thy =
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   419
  map (fn (s, _) => (s, get_axiom thy s))
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   420
    (Symtab.dest (#new_axioms (rep_theory thy)));
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   421
387
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   422
922
196ca0973a6d added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents: 900
diff changeset
   423
(* the Pure theories *)
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parents: 900
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   424
196ca0973a6d added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
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diff changeset
   425
val proto_pure_thy =
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diff changeset
   426
  Theory {sign = Sign.proto_pure, new_axioms = Symtab.null, parents = []};
387
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parents: 309
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   427
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   428
val pure_thy =
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
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parents: 387
diff changeset
   429
  Theory {sign = Sign.pure, new_axioms = Symtab.null, parents = []};
387
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parents: 309
diff changeset
   430
922
196ca0973a6d added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents: 900
diff changeset
   431
val cpure_thy =
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parents: 900
diff changeset
   432
  Theory {sign = Sign.cpure, new_axioms = Symtab.null, parents = []};
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clasohm
parents: 900
diff changeset
   433
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parents:
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   434
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   435
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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diff changeset
   436
(** extend theory **)
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diff changeset
   437
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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   438
fun err_dup_axms names =
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diff changeset
   439
  error ("Duplicate axiom name(s) " ^ commas_quote names);
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parents: 309
diff changeset
   440
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
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parents: 387
diff changeset
   441
fun ext_thy (thy as Theory {sign, new_axioms, parents}) sign1 new_axms =
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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diff changeset
   442
  let
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   443
    val draft = Sign.is_draft sign;
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
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parents: 387
diff changeset
   444
    val new_axioms1 =
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parents: 387
diff changeset
   445
      Symtab.extend_new (if draft then new_axioms else Symtab.null, new_axms)
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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diff changeset
   446
        handle Symtab.DUPS names => err_dup_axms names;
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diff changeset
   447
    val parents1 = if draft then parents else [thy];
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diff changeset
   448
  in
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
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   449
    Theory {sign = sign1, new_axioms = new_axioms1, parents = parents1}
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   450
  end;
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   451
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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diff changeset
   452
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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diff changeset
   453
(* extend signature of a theory *)
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diff changeset
   454
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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   455
fun ext_sg extfun decls (thy as Theory {sign, ...}) =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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diff changeset
   456
  ext_thy thy (extfun decls sign) [];
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diff changeset
   457
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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diff changeset
   458
val add_classes   = ext_sg Sign.add_classes;
421
95e1d4faa863 added add_classrel;
wenzelm
parents: 405
diff changeset
   459
val add_classrel  = ext_sg Sign.add_classrel;
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   460
val add_defsort   = ext_sg Sign.add_defsort;
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diff changeset
   461
val add_types     = ext_sg Sign.add_types;
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   462
val add_tyabbrs   = ext_sg Sign.add_tyabbrs;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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   463
val add_tyabbrs_i = ext_sg Sign.add_tyabbrs_i;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   464
val add_arities   = ext_sg Sign.add_arities;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   465
val add_consts    = ext_sg Sign.add_consts;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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diff changeset
   466
val add_consts_i  = ext_sg Sign.add_consts_i;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   467
val add_syntax    = ext_sg Sign.add_syntax;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   468
val add_syntax_i  = ext_sg Sign.add_syntax_i;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   469
val add_trfuns    = ext_sg Sign.add_trfuns;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
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parents: 309
diff changeset
   470
val add_trrules   = ext_sg Sign.add_trrules;
1160
8845eb5f0e5e added add_trrules_i;
wenzelm
parents: 1065
diff changeset
   471
val add_trrules_i = ext_sg Sign.add_trrules_i;
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   472
val add_thyname   = ext_sg Sign.add_name;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   473
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   474
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   475
(* prepare axioms *)
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   476
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   477
fun err_in_axm name =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   478
  error ("The error(s) above occurred in axiom " ^ quote name);
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   479
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   480
fun no_vars tm =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   481
  if null (term_vars tm) andalso null (term_tvars tm) then tm
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   482
  else error "Illegal schematic variable(s) in term";
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   483
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   484
fun cert_axm sg (name, raw_tm) =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   485
  let
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   486
    val Cterm {t, T, ...} = cterm_of sg raw_tm
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   487
      handle TERM (msg, _) => error msg;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   488
  in
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   489
    assert (T = propT) "Term not of type prop";
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   490
    (name, no_vars t)
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   491
  end
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   492
  handle ERROR => err_in_axm name;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   493
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   494
fun read_axm sg (name, str) =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   495
  (name, no_vars (term_of (read_cterm sg (str, propT))))
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   496
    handle ERROR => err_in_axm name;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   497
564
eec3a9222b50 added inferT_axm;
wenzelm
parents: 480
diff changeset
   498
fun inferT_axm sg (name, pre_tm) =
959
35c2e5e114c4 removed print_msg parameter of infer_types
clasohm
parents: 949
diff changeset
   499
  let val t = #2(Sign.infer_types sg (K None) (K None) [] true
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 922
diff changeset
   500
                                     ([pre_tm], propT))
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 922
diff changeset
   501
  in  (name, no_vars t) end
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 922
diff changeset
   502
  handle ERROR => err_in_axm name;
564
eec3a9222b50 added inferT_axm;
wenzelm
parents: 480
diff changeset
   503
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   504
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   505
(* extend axioms of a theory *)
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   506
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   507
fun ext_axms prep_axm axms (thy as Theory {sign, ...}) =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   508
  let
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   509
    val sign1 = Sign.make_draft sign;
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   510
    val axioms = map (apsnd Logic.varify o prep_axm sign) axms;
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   511
  in
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   512
    ext_thy thy sign1 axioms
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   513
  end;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   514
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   515
val add_axioms = ext_axms read_axm;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   516
val add_axioms_i = ext_axms cert_axm;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   517
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   518
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   519
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   520
(** merge theories **)
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   521
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   522
fun merge_thy_list mk_draft thys =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   523
  let
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   524
    fun is_union thy = forall (fn t => subthy (t, thy)) thys;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   525
    val is_draft = Sign.is_draft o sign_of;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   526
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   527
    fun add_sign (sg, Theory {sign, ...}) =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   528
      Sign.merge (sg, sign) handle TERM (msg, _) => error msg;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   529
  in
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   530
    (case (find_first is_union thys, exists is_draft thys) of
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   531
      (Some thy, _) => thy
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   532
    | (None, true) => raise THEORY ("Illegal merge of draft theories", thys)
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   533
    | (None, false) => Theory {
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   534
        sign =
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   535
          (if mk_draft then Sign.make_draft else I)
922
196ca0973a6d added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents: 900
diff changeset
   536
          (foldl add_sign (Sign.proto_pure, thys)),
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   537
        new_axioms = Symtab.null,
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   538
        parents = thys})
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   539
  end;
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   540
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   541
fun merge_theories (thy1, thy2) = merge_thy_list false [thy1, thy2];
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
   542
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   543
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   544
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   545
(*** Meta rules ***)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   546
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   547
(** 'primitive' rules **)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   548
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   549
(*discharge all assumptions t from ts*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   550
val disch = gen_rem (op aconv);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   551
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   552
(*The assumption rule A|-A in a theory*)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   553
fun assume ct : thm =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   554
  let val {sign, t=prop, T, maxidx} = rep_cterm ct
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   555
  in  if T<>propT then
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   556
        raise THM("assume: assumptions must have type prop", 0, [])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   557
      else if maxidx <> ~1 then
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   558
        raise THM("assume: assumptions may not contain scheme variables",
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   559
                  maxidx, [])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   560
      else fix_shyps [] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   561
        (Thm{sign = sign, maxidx = ~1, shyps = [], hyps = [prop], prop = prop})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   562
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   563
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   564
(*Implication introduction
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   565
  A |- B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   566
  -------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   567
  A ==> B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   568
*)
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   569
fun implies_intr cA (thB as Thm{sign,maxidx,hyps,prop,...}) : thm =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   570
  let val {sign=signA, t=A, T, maxidx=maxidxA} = rep_cterm cA
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   571
  in  if T<>propT then
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   572
        raise THM("implies_intr: assumptions must have type prop", 0, [thB])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   573
      else fix_shyps [thB] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   574
        (Thm{sign= Sign.merge (sign,signA),  maxidx= max[maxidxA, maxidx],
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   575
          shyps= [], hyps= disch(hyps,A),  prop= implies$A$prop})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   576
      handle TERM _ =>
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   577
        raise THM("implies_intr: incompatible signatures", 0, [thB])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   578
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   579
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   580
(*Implication elimination
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   581
  A ==> B    A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   582
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   583
        B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   584
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   585
fun implies_elim thAB thA : thm =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   586
    let val Thm{maxidx=maxA, hyps=hypsA, prop=propA,...} = thA
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   587
        and Thm{sign, maxidx, hyps, prop,...} = thAB;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   588
        fun err(a) = raise THM("implies_elim: "^a, 0, [thAB,thA])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   589
    in  case prop of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   590
            imp$A$B =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   591
                if imp=implies andalso  A aconv propA
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   592
                then fix_shyps [thAB, thA] []
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   593
                       (Thm{sign= merge_thm_sgs(thAB,thA),
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   594
                          maxidx= max[maxA,maxidx],
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   595
                          shyps= [],
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   596
                          hyps= hypsA union hyps,  (*dups suppressed*)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   597
                          prop= B})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   598
                else err("major premise")
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   599
          | _ => err("major premise")
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   600
    end;
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   601
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   602
(*Forall introduction.  The Free or Var x must not be free in the hypotheses.
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   603
    A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   604
  -----
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   605
  !!x.A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   606
*)
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   607
fun forall_intr cx (th as Thm{sign,maxidx,hyps,prop,...}) =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   608
  let val x = term_of cx;
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   609
      fun result(a,T) = fix_shyps [th] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   610
        (Thm{sign= sign, maxidx= maxidx, shyps= [], hyps= hyps,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   611
          prop= all(T) $ Abs(a, T, abstract_over (x,prop))})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   612
  in  case x of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   613
        Free(a,T) =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   614
          if exists (apl(x, Logic.occs)) hyps
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   615
          then  raise THM("forall_intr: variable free in assumptions", 0, [th])
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   616
          else  result(a,T)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   617
      | Var((a,_),T) => result(a,T)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   618
      | _ => raise THM("forall_intr: not a variable", 0, [th])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   619
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   620
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   621
(*Forall elimination
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   622
  !!x.A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   623
  ------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   624
  A[t/x]
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   625
*)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   626
fun forall_elim ct (th as Thm{sign,maxidx,hyps,prop,...}) : thm =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   627
  let val {sign=signt, t, T, maxidx=maxt} = rep_cterm ct
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   628
  in  case prop of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   629
          Const("all",Type("fun",[Type("fun",[qary,_]),_])) $ A =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   630
            if T<>qary then
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   631
                raise THM("forall_elim: type mismatch", 0, [th])
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   632
            else fix_shyps [th] []
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   633
                 (Thm{sign= Sign.merge(sign,signt),
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   634
                     maxidx= max[maxidx, maxt],
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   635
                     shyps= [], hyps= hyps,  prop= betapply(A,t)})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   636
        | _ => raise THM("forall_elim: not quantified", 0, [th])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   637
  end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   638
  handle TERM _ =>
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   639
         raise THM("forall_elim: incompatible signatures", 0, [th]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   640
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   641
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   642
(* Equality *)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   643
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   644
(* Definition of the relation =?= *)
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   645
val flexpair_def = fix_shyps [] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   646
  (Thm{sign= Sign.proto_pure, shyps= [], hyps= [], maxidx= 0,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   647
        prop= term_of (read_cterm Sign.proto_pure
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   648
                ("(?t =?= ?u) == (?t == ?u::?'a::{})", propT))});
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   649
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   650
(*The reflexivity rule: maps  t   to the theorem   t==t   *)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   651
fun reflexive ct =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   652
  let val {sign, t, T, maxidx} = rep_cterm ct
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   653
  in  fix_shyps [] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   654
       (Thm{sign= sign, shyps= [], hyps= [], maxidx= maxidx,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   655
         prop= Logic.mk_equals(t,t)})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   656
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   657
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   658
(*The symmetry rule
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   659
  t==u
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   660
  ----
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   661
  u==t
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   662
*)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   663
fun symmetric (th as Thm{sign,shyps,hyps,prop,maxidx}) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   664
  case prop of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   665
      (eq as Const("==",_)) $ t $ u =>
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   666
        (*no fix_shyps*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   667
        Thm{sign=sign, shyps=shyps, hyps=hyps, maxidx=maxidx, prop= eq$u$t}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   668
    | _ => raise THM("symmetric", 0, [th]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   669
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   670
(*The transitive rule
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   671
  t1==u    u==t2
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   672
  --------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   673
      t1==t2
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   674
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   675
fun transitive th1 th2 =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   676
  let val Thm{maxidx=max1, hyps=hyps1, prop=prop1,...} = th1
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   677
      and Thm{maxidx=max2, hyps=hyps2, prop=prop2,...} = th2;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   678
      fun err(msg) = raise THM("transitive: "^msg, 0, [th1,th2])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   679
  in case (prop1,prop2) of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   680
       ((eq as Const("==",_)) $ t1 $ u, Const("==",_) $ u' $ t2) =>
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   681
          if not (u aconv u') then err"middle term"  else
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   682
              fix_shyps [th1, th2] []
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   683
                (Thm{sign= merge_thm_sgs(th1,th2), shyps= [],
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   684
                  hyps= hyps1 union hyps2,
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   685
                  maxidx= max[max1,max2], prop= eq$t1$t2})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   686
     | _ =>  err"premises"
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   687
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   688
1160
8845eb5f0e5e added add_trrules_i;
wenzelm
parents: 1065
diff changeset
   689
(*Beta-conversion: maps (%x.t)(u) to the theorem (%x.t)(u) == t[u/x] *)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   690
fun beta_conversion ct =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   691
  let val {sign, t, T, maxidx} = rep_cterm ct
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   692
  in  case t of
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   693
          Abs(_,_,bodt) $ u => fix_shyps [] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   694
            (Thm{sign= sign,  shyps= [], hyps= [],
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   695
                maxidx= maxidx_of_term t,
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   696
                prop= Logic.mk_equals(t, subst_bounds([u],bodt))})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   697
        | _ =>  raise THM("beta_conversion: not a redex", 0, [])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   698
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   699
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   700
(*The extensionality rule   (proviso: x not free in f, g, or hypotheses)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   701
  f(x) == g(x)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   702
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   703
     f == g
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   704
*)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   705
fun extensional (th as Thm{sign,maxidx,shyps,hyps,prop}) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   706
  case prop of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   707
    (Const("==",_)) $ (f$x) $ (g$y) =>
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   708
      let fun err(msg) = raise THM("extensional: "^msg, 0, [th])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   709
      in (if x<>y then err"different variables" else
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   710
          case y of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   711
                Free _ =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   712
                  if exists (apl(y, Logic.occs)) (f::g::hyps)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   713
                  then err"variable free in hyps or functions"    else  ()
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   714
              | Var _ =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   715
                  if Logic.occs(y,f)  orelse  Logic.occs(y,g)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   716
                  then err"variable free in functions"   else  ()
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   717
              | _ => err"not a variable");
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   718
          (*no fix_shyps*)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   719
          Thm{sign=sign, shyps=shyps, hyps=hyps, maxidx=maxidx,
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   720
              prop= Logic.mk_equals(f,g)}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   721
      end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   722
 | _ =>  raise THM("extensional: premise", 0, [th]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   723
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   724
(*The abstraction rule.  The Free or Var x must not be free in the hypotheses.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   725
  The bound variable will be named "a" (since x will be something like x320)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   726
     t == u
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   727
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   728
  %x.t == %x.u
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   729
*)
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   730
fun abstract_rule a cx (th as Thm{sign,maxidx,hyps,prop,...}) =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   731
  let val x = term_of cx;
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   732
      val (t,u) = Logic.dest_equals prop
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   733
            handle TERM _ =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   734
                raise THM("abstract_rule: premise not an equality", 0, [th])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   735
      fun result T = fix_shyps [th] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   736
            (Thm{sign= sign, maxidx= maxidx, shyps= [], hyps= hyps,
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   737
                prop= Logic.mk_equals(Abs(a, T, abstract_over (x,t)),
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   738
                                      Abs(a, T, abstract_over (x,u)))})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   739
  in  case x of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   740
        Free(_,T) =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   741
         if exists (apl(x, Logic.occs)) hyps
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   742
         then raise THM("abstract_rule: variable free in assumptions", 0, [th])
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   743
         else result T
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   744
      | Var(_,T) => result T
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   745
      | _ => raise THM("abstract_rule: not a variable", 0, [th])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   746
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   747
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   748
(*The combination rule
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   749
  f==g    t==u
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   750
  ------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   751
   f(t)==g(u)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   752
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   753
fun combination th1 th2 =
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   754
  let val Thm{maxidx=max1, shyps=shyps1, hyps=hyps1, prop=prop1,...} = th1
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   755
      and Thm{maxidx=max2, shyps=shyps2, hyps=hyps2, prop=prop2,...} = th2
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   756
  in  case (prop1,prop2)  of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   757
       (Const("==",_) $ f $ g, Const("==",_) $ t $ u) =>
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   758
              (*no fix_shyps*)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   759
              Thm{sign= merge_thm_sgs(th1,th2), shyps= shyps1 union shyps2,
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   760
                  hyps= hyps1 union hyps2,
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   761
                  maxidx= max[max1,max2], prop= Logic.mk_equals(f$t, g$u)}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   762
     | _ =>  raise THM("combination: premises", 0, [th1,th2])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   763
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   764
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   765
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   766
(*The equal propositions rule
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   767
  A==B    A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   768
  ---------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   769
      B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   770
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   771
fun equal_elim th1 th2 =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   772
  let val Thm{maxidx=max1, hyps=hyps1, prop=prop1,...} = th1
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   773
      and Thm{maxidx=max2, hyps=hyps2, prop=prop2,...} = th2;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   774
      fun err(msg) = raise THM("equal_elim: "^msg, 0, [th1,th2])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   775
  in  case prop1  of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   776
       Const("==",_) $ A $ B =>
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   777
          if not (prop2 aconv A) then err"not equal"  else
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   778
            fix_shyps [th1, th2] []
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   779
              (Thm{sign= merge_thm_sgs(th1,th2), shyps= [],
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   780
                  hyps= hyps1 union hyps2,
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   781
                  maxidx= max[max1,max2], prop= B})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   782
     | _ =>  err"major premise"
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   783
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   784
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   785
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   786
(* Equality introduction
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   787
  A==>B    B==>A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   788
  --------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   789
       A==B
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   790
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   791
fun equal_intr th1 th2 =
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   792
let val Thm{maxidx=max1, shyps=shyps1, hyps=hyps1, prop=prop1,...} = th1
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   793
    and Thm{maxidx=max2, shyps=shyps2, hyps=hyps2, prop=prop2,...} = th2;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   794
    fun err(msg) = raise THM("equal_intr: "^msg, 0, [th1,th2])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   795
in case (prop1,prop2) of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   796
     (Const("==>",_) $ A $ B, Const("==>",_) $ B' $ A')  =>
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   797
        if A aconv A' andalso B aconv B'
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   798
        then
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   799
          (*no fix_shyps*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   800
          Thm{sign= merge_thm_sgs(th1,th2), shyps= shyps1 union shyps2,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   801
                hyps= hyps1 union hyps2,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   802
                maxidx= max[max1,max2], prop= Logic.mk_equals(A,B)}
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   803
        else err"not equal"
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   804
   | _ =>  err"premises"
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   805
end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   806
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   807
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   808
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   809
(**** Derived rules ****)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   810
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   811
(*Discharge all hypotheses (need not verify cterms)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   812
  Repeated hypotheses are discharged only once;  fold cannot do this*)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   813
fun implies_intr_hyps (Thm{sign, maxidx, shyps, hyps=A::As, prop}) =
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   814
      implies_intr_hyps (*no fix_shyps*)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   815
            (Thm{sign=sign,  maxidx=maxidx, shyps=shyps,
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   816
                 hyps= disch(As,A),  prop= implies$A$prop})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   817
  | implies_intr_hyps th = th;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   818
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   819
(*Smash" unifies the list of term pairs leaving no flex-flex pairs.
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   820
  Instantiates the theorem and deletes trivial tpairs.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   821
  Resulting sequence may contain multiple elements if the tpairs are
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   822
    not all flex-flex. *)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   823
fun flexflex_rule (th as Thm{sign,maxidx,hyps,prop,...}) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   824
  let fun newthm env =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   825
          let val (tpairs,horn) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   826
                        Logic.strip_flexpairs (Envir.norm_term env prop)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   827
                (*Remove trivial tpairs, of the form t=t*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   828
              val distpairs = filter (not o op aconv) tpairs
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   829
              val newprop = Logic.list_flexpairs(distpairs, horn)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   830
          in  fix_shyps [th] (env_codT env)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   831
                (Thm{sign= sign, shyps= [], hyps= hyps,
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   832
                  maxidx= maxidx_of_term newprop, prop= newprop})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   833
          end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   834
      val (tpairs,_) = Logic.strip_flexpairs prop
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   835
  in Sequence.maps newthm
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   836
            (Unify.smash_unifiers(sign, Envir.empty maxidx, tpairs))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   837
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   838
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   839
(*Instantiation of Vars
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   840
           A
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   841
  -------------------
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   842
  A[t1/v1,....,tn/vn]
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   843
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   844
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   845
(*Check that all the terms are Vars and are distinct*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   846
fun instl_ok ts = forall is_Var ts andalso null(findrep ts);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   847
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   848
(*For instantiate: process pair of cterms, merge theories*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   849
fun add_ctpair ((ct,cu), (sign,tpairs)) =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   850
  let val {sign=signt, t=t, T= T, ...} = rep_cterm ct
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   851
      and {sign=signu, t=u, T= U, ...} = rep_cterm cu
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   852
  in  if T=U  then (Sign.merge(sign, Sign.merge(signt, signu)), (t,u)::tpairs)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   853
      else raise TYPE("add_ctpair", [T,U], [t,u])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   854
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   855
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   856
fun add_ctyp ((v,ctyp), (sign',vTs)) =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   857
  let val {T,sign} = rep_ctyp ctyp
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   858
  in (Sign.merge(sign,sign'), (v,T)::vTs) end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   859
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   860
(*Left-to-right replacements: ctpairs = [...,(vi,ti),...].
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   861
  Instantiates distinct Vars by terms of same type.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   862
  Normalizes the new theorem! *)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   863
fun instantiate (vcTs,ctpairs)  (th as Thm{sign,maxidx,hyps,prop,...}) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   864
  let val (newsign,tpairs) = foldr add_ctpair (ctpairs, (sign,[]));
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   865
      val (newsign,vTs) = foldr add_ctyp (vcTs, (newsign,[]));
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   866
      val newprop =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   867
            Envir.norm_term (Envir.empty 0)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   868
              (subst_atomic tpairs
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   869
               (Type.inst_term_tvars(#tsig(Sign.rep_sg newsign),vTs) prop))
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   870
      val newth =
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   871
            fix_shyps [th] (map snd vTs)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   872
              (Thm{sign= newsign, shyps= [], hyps= hyps,
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   873
                maxidx= maxidx_of_term newprop, prop= newprop})
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   874
  in  if not(instl_ok(map #1 tpairs))
193
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   875
      then raise THM("instantiate: variables not distinct", 0, [th])
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   876
      else if not(null(findrep(map #1 vTs)))
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   877
      then raise THM("instantiate: type variables not distinct", 0, [th])
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   878
      else (*Check types of Vars for agreement*)
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   879
      case findrep (map (#1 o dest_Var) (term_vars newprop)) of
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   880
          ix::_ => raise THM("instantiate: conflicting types for variable " ^
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   881
                             Syntax.string_of_vname ix ^ "\n", 0, [newth])
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   882
        | [] =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   883
             case findrep (map #1 (term_tvars newprop)) of
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   884
             ix::_ => raise THM
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   885
                    ("instantiate: conflicting sorts for type variable " ^
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   886
                     Syntax.string_of_vname ix ^ "\n", 0, [newth])
193
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   887
        | [] => newth
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   888
  end
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   889
  handle TERM _ =>
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   890
           raise THM("instantiate: incompatible signatures",0,[th])
193
b2be328e00c3 updated instantiate to deal with type clashes
nipkow
parents: 134
diff changeset
   891
       | TYPE _ => raise THM("instantiate: type conflict", 0, [th]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   892
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   893
(*The trivial implication A==>A, justified by assume and forall rules.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   894
  A can contain Vars, not so for assume!   *)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   895
fun trivial ct : thm =
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
   896
  let val {sign, t=A, T, maxidx} = rep_cterm ct
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   897
  in  if T<>propT then
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   898
            raise THM("trivial: the term must have type prop", 0, [])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   899
      else fix_shyps [] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   900
        (Thm{sign= sign, maxidx= maxidx, shyps= [], hyps= [],
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   901
              prop= implies$A$A})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   902
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   903
1160
8845eb5f0e5e added add_trrules_i;
wenzelm
parents: 1065
diff changeset
   904
(*Axiom-scheme reflecting signature contents: "OFCLASS(?'a::c, c_class)" --
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   905
  essentially just an instance of A==>A.*)
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   906
fun class_triv thy c =
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   907
  let
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   908
    val sign = sign_of thy;
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   909
    val Cterm {t, maxidx, ...} =
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   910
      cterm_of sign (Logic.mk_inclass (TVar (("'a", 0), [c]), c))
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   911
        handle TERM (msg, _) => raise THM ("class_triv: " ^ msg, 0, []);
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   912
  in
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   913
    fix_shyps [] []
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   914
      (Thm {sign = sign, maxidx = maxidx, shyps = [], hyps = [], prop = t})
399
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   915
  end;
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   916
86cc2b98f9e0 added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents: 387
diff changeset
   917
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   918
(* Replace all TFrees not in the hyps by new TVars *)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   919
fun varifyT(Thm{sign,maxidx,shyps,hyps,prop}) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   920
  let val tfrees = foldr add_term_tfree_names (hyps,[])
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   921
  in (*no fix_shyps*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   922
    Thm{sign=sign, maxidx=max[0,maxidx], shyps=shyps, hyps=hyps,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   923
        prop= Type.varify(prop,tfrees)}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   924
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   925
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   926
(* Replace all TVars by new TFrees *)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   927
fun freezeT(Thm{sign,maxidx,shyps,hyps,prop}) =
949
83c588d6fee9 Changed treatment of during type inference internally generated type
nipkow
parents: 922
diff changeset
   928
  let val prop' = Type.freeze prop
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   929
  in (*no fix_shyps*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   930
    Thm{sign=sign, maxidx=maxidx_of_term prop', shyps=shyps, hyps=hyps,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   931
        prop=prop'}
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   932
  end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   933
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   934
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   935
(*** Inference rules for tactics ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   936
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   937
(*Destruct proof state into constraints, other goals, goal(i), rest *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   938
fun dest_state (state as Thm{prop,...}, i) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   939
  let val (tpairs,horn) = Logic.strip_flexpairs prop
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   940
  in  case  Logic.strip_prems(i, [], horn) of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   941
          (B::rBs, C) => (tpairs, rev rBs, B, C)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   942
        | _ => raise THM("dest_state", i, [state])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   943
  end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   944
  handle TERM _ => raise THM("dest_state", i, [state]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   945
309
3751567696bf restored the signature constraint :THM
lcp
parents: 305
diff changeset
   946
(*Increment variables and parameters of orule as required for
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   947
  resolution with goal i of state. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   948
fun lift_rule (state, i) orule =
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   949
  let val Thm{shyps=sshyps,prop=sprop,maxidx=smax,...} = state;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   950
      val (Bi::_, _) = Logic.strip_prems(i, [], Logic.skip_flexpairs sprop)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   951
        handle TERM _ => raise THM("lift_rule", i, [orule,state]);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   952
      val (lift_abs,lift_all) = Logic.lift_fns(Bi,smax+1);
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   953
      val (Thm{sign,maxidx,shyps,hyps,prop}) = orule
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   954
      val (tpairs,As,B) = Logic.strip_horn prop
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   955
  in  (*no fix_shyps*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   956
      Thm{hyps=hyps, sign= merge_thm_sgs(state,orule),
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   957
          shyps=sshyps union shyps, maxidx= maxidx+smax+1,
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   958
          prop= Logic.rule_of(map (pairself lift_abs) tpairs,
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
   959
                              map lift_all As,    lift_all B)}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   960
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   961
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   962
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   963
fun assumption i state =
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   964
  let val Thm{sign,maxidx,hyps,prop,...} = state;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   965
      val (tpairs, Bs, Bi, C) = dest_state(state,i)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   966
      fun newth (env as Envir.Envir{maxidx, ...}, tpairs) =
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   967
        fix_shyps [state] (env_codT env)
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   968
          (Thm{sign=sign, shyps=[], hyps=hyps, maxidx=maxidx, prop=
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   969
            if Envir.is_empty env then (*avoid wasted normalizations*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   970
              Logic.rule_of (tpairs, Bs, C)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   971
            else (*normalize the new rule fully*)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   972
              Envir.norm_term env (Logic.rule_of (tpairs, Bs, C))});
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   973
      fun addprfs [] = Sequence.null
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   974
        | addprfs ((t,u)::apairs) = Sequence.seqof (fn()=> Sequence.pull
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   975
             (Sequence.mapp newth
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   976
                (Unify.unifiers(sign,Envir.empty maxidx, (t,u)::tpairs))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   977
                (addprfs apairs)))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   978
  in  addprfs (Logic.assum_pairs Bi)  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   979
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
   980
(*Solve subgoal Bi of proof state B1...Bn/C by assumption.
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   981
  Checks if Bi's conclusion is alpha-convertible to one of its assumptions*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   982
fun eq_assumption i state =
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   983
  let val Thm{sign,maxidx,hyps,prop,...} = state;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   984
      val (tpairs, Bs, Bi, C) = dest_state(state,i)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   985
  in  if exists (op aconv) (Logic.assum_pairs Bi)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   986
      then fix_shyps [state] []
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   987
             (Thm{sign=sign, shyps=[], hyps=hyps, maxidx=maxidx,
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
   988
               prop=Logic.rule_of(tpairs, Bs, C)})
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   989
      else  raise THM("eq_assumption", 0, [state])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   990
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   991
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   992
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   993
(** User renaming of parameters in a subgoal **)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   994
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   995
(*Calls error rather than raising an exception because it is intended
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   996
  for top-level use -- exception handling would not make sense here.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   997
  The names in cs, if distinct, are used for the innermost parameters;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   998
   preceding parameters may be renamed to make all params distinct.*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
   999
fun rename_params_rule (cs, i) state =
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1000
  let val Thm{sign,maxidx,hyps,prop,...} = state
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1001
      val (tpairs, Bs, Bi, C) = dest_state(state,i)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1002
      val iparams = map #1 (Logic.strip_params Bi)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1003
      val short = length iparams - length cs
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1004
      val newnames =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1005
            if short<0 then error"More names than abstractions!"
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1006
            else variantlist(take (short,iparams), cs) @ cs
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1007
      val freenames = map (#1 o dest_Free) (term_frees prop)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1008
      val newBi = Logic.list_rename_params (newnames, Bi)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1009
  in
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1010
  case findrep cs of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1011
     c::_ => error ("Bound variables not distinct: " ^ c)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1012
   | [] => (case cs inter freenames of
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1013
       a::_ => error ("Bound/Free variable clash: " ^ a)
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1014
     | [] => fix_shyps [state] []
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1015
               (Thm{sign=sign, shyps=[], hyps=hyps, maxidx=maxidx, prop=
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1016
                 Logic.rule_of(tpairs, Bs@[newBi], C)}))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1017
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1018
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1019
(*** Preservation of bound variable names ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1020
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1021
(*Scan a pair of terms; while they are similar,
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1022
  accumulate corresponding bound vars in "al"*)
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1023
fun match_bvs(Abs(x,_,s),Abs(y,_,t), al) =
1195
686e3eb613b9 match_bvs no longer puts a name in the alist if it is null ("")
lcp
parents: 1160
diff changeset
  1024
      match_bvs(s, t, if x="" orelse y="" then al
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1025
                                          else (x,y)::al)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1026
  | match_bvs(f$s, g$t, al) = match_bvs(f,g,match_bvs(s,t,al))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1027
  | match_bvs(_,_,al) = al;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1028
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1029
(* strip abstractions created by parameters *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1030
fun match_bvars((s,t),al) = match_bvs(strip_abs_body s, strip_abs_body t, al);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1031
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1032
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1033
(* strip_apply f A(,B) strips off all assumptions/parameters from A
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1034
   introduced by lifting over B, and applies f to remaining part of A*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1035
fun strip_apply f =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1036
  let fun strip(Const("==>",_)$ A1 $ B1,
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1037
                Const("==>",_)$ _  $ B2) = implies $ A1 $ strip(B1,B2)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1038
        | strip((c as Const("all",_)) $ Abs(a,T,t1),
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1039
                      Const("all",_)  $ Abs(_,_,t2)) = c$Abs(a,T,strip(t1,t2))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1040
        | strip(A,_) = f A
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1041
  in strip end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1042
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1043
(*Use the alist to rename all bound variables and some unknowns in a term
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1044
  dpairs = current disagreement pairs;  tpairs = permanent ones (flexflex);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1045
  Preserves unknowns in tpairs and on lhs of dpairs. *)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1046
fun rename_bvs([],_,_,_) = I
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1047
  | rename_bvs(al,dpairs,tpairs,B) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1048
    let val vars = foldr add_term_vars
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1049
                        (map fst dpairs @ map fst tpairs @ map snd tpairs, [])
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1050
        (*unknowns appearing elsewhere be preserved!*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1051
        val vids = map (#1 o #1 o dest_Var) vars;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1052
        fun rename(t as Var((x,i),T)) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1053
                (case assoc(al,x) of
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1054
                   Some(y) => if x mem vids orelse y mem vids then t
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1055
                              else Var((y,i),T)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1056
                 | None=> t)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1057
          | rename(Abs(x,T,t)) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1058
              Abs(case assoc(al,x) of Some(y) => y | None => x,
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1059
                  T, rename t)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1060
          | rename(f$t) = rename f $ rename t
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1061
          | rename(t) = t;
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1062
        fun strip_ren Ai = strip_apply rename (Ai,B)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1063
    in strip_ren end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1064
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1065
(*Function to rename bounds/unknowns in the argument, lifted over B*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1066
fun rename_bvars(dpairs, tpairs, B) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1067
        rename_bvs(foldr match_bvars (dpairs,[]), dpairs, tpairs, B);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1068
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1069
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1070
(*** RESOLUTION ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1071
721
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1072
(** Lifting optimizations **)
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1073
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1074
(*strip off pairs of assumptions/parameters in parallel -- they are
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1075
  identical because of lifting*)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1076
fun strip_assums2 (Const("==>", _) $ _ $ B1,
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1077
                   Const("==>", _) $ _ $ B2) = strip_assums2 (B1,B2)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1078
  | strip_assums2 (Const("all",_)$Abs(a,T,t1),
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1079
                   Const("all",_)$Abs(_,_,t2)) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1080
      let val (B1,B2) = strip_assums2 (t1,t2)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1081
      in  (Abs(a,T,B1), Abs(a,T,B2))  end
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1082
  | strip_assums2 BB = BB;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1083
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1084
721
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1085
(*Faster normalization: skip assumptions that were lifted over*)
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1086
fun norm_term_skip env 0 t = Envir.norm_term env t
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1087
  | norm_term_skip env n (Const("all",_)$Abs(a,T,t)) =
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1088
        let val Envir.Envir{iTs, ...} = env
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1089
            val T' = typ_subst_TVars iTs T
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1090
            (*Must instantiate types of parameters because they are flattened;
721
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1091
              this could be a NEW parameter*)
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1092
        in  all T' $ Abs(a, T', norm_term_skip env n t)  end
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1093
  | norm_term_skip env n (Const("==>", _) $ A $ B) =
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1094
        implies $ A $ norm_term_skip env (n-1) B
721
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1095
  | norm_term_skip env n t = error"norm_term_skip: too few assumptions??";
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1096
479832ff2d29 Pure/thm/norm_term_skip: new, for skipping normalization of the context
lcp
parents: 678
diff changeset
  1097
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1098
(*Composition of object rule r=(A1...Am/B) with proof state s=(B1...Bn/C)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1099
  Unifies B with Bi, replacing subgoal i    (1 <= i <= n)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1100
  If match then forbid instantiations in proof state
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1101
  If lifted then shorten the dpair using strip_assums2.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1102
  If eres_flg then simultaneously proves A1 by assumption.
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1103
  nsubgoal is the number of new subgoals (written m above).
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1104
  Curried so that resolution calls dest_state only once.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1105
*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1106
local open Sequence; exception Bicompose
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1107
in
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1108
fun bicompose_aux match (state, (stpairs, Bs, Bi, C), lifted)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1109
                        (eres_flg, orule, nsubgoal) =
1258
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1110
 let val Thm{maxidx=smax, shyps=sshyps, hyps=shyps, ...} = state
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1111
     and Thm{maxidx=rmax, shyps=rshyps, hyps=rhyps, prop=rprop,...} = orule
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1112
             (*How many hyps to skip over during normalization*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1113
     and nlift = Logic.count_prems(strip_all_body Bi,
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1114
                                   if eres_flg then ~1 else 0)
387
69f4356d915d new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents: 309
diff changeset
  1115
     val sign = merge_thm_sgs(state,orule);
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1116
     (** Add new theorem with prop = '[| Bs; As |] ==> C' to thq **)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1117
     fun addth As ((env as Envir.Envir {maxidx, ...}, tpairs), thq) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1118
       let val normt = Envir.norm_term env;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1119
           (*perform minimal copying here by examining env*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1120
           val normp =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1121
             if Envir.is_empty env then (tpairs, Bs @ As, C)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1122
             else
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1123
             let val ntps = map (pairself normt) tpairs
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1124
             in if the (Envir.minidx env) > smax then
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1125
                  (*no assignments in state; normalize the rule only*)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1126
                  if lifted
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1127
                  then (ntps, Bs @ map (norm_term_skip env nlift) As, C)
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1128
                  else (ntps, Bs @ map normt As, C)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1129
                else if match then raise Bicompose
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1130
                else (*normalize the new rule fully*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1131
                  (ntps, map normt (Bs @ As), normt C)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1132
             end
1258
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1133
           val th = (*tuned fix_shyps*)
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1134
             Thm{sign=sign,
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1135
               shyps=add_env_sorts (env, rshyps union sshyps),
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1136
               hyps=rhyps union shyps,
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1137
               maxidx=maxidx, prop= Logic.rule_of normp}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1138
        in  cons(th, thq)  end  handle Bicompose => thq
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1139
     val (rtpairs,rhorn) = Logic.strip_flexpairs(rprop);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1140
     val (rAs,B) = Logic.strip_prems(nsubgoal, [], rhorn)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1141
       handle TERM _ => raise THM("bicompose: rule", 0, [orule,state]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1142
     (*Modify assumptions, deleting n-th if n>0 for e-resolution*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1143
     fun newAs(As0, n, dpairs, tpairs) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1144
       let val As1 = if !Logic.auto_rename orelse not lifted then As0
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1145
                     else map (rename_bvars(dpairs,tpairs,B)) As0
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1146
       in (map (Logic.flatten_params n) As1)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1147
          handle TERM _ =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1148
          raise THM("bicompose: 1st premise", 0, [orule])
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1149
       end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1150
     val env = Envir.empty(max[rmax,smax]);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1151
     val BBi = if lifted then strip_assums2(B,Bi) else (B,Bi);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1152
     val dpairs = BBi :: (rtpairs@stpairs);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1153
     (*elim-resolution: try each assumption in turn.  Initially n=1*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1154
     fun tryasms (_, _, []) = null
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1155
       | tryasms (As, n, (t,u)::apairs) =
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1156
          (case pull(Unify.unifiers(sign, env, (t,u)::dpairs))  of
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1157
               None                   => tryasms (As, n+1, apairs)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1158
             | cell as Some((_,tpairs),_) =>
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1159
                   its_right (addth (newAs(As, n, [BBi,(u,t)], tpairs)))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1160
                       (seqof (fn()=> cell),
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1161
                        seqof (fn()=> pull (tryasms (As, n+1, apairs)))));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1162
     fun eres [] = raise THM("bicompose: no premises", 0, [orule,state])
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1163
       | eres (A1::As) = tryasms (As, 1, Logic.assum_pairs A1);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1164
     (*ordinary resolution*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1165
     fun res(None) = null
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1166
       | res(cell as Some((_,tpairs),_)) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1167
             its_right (addth(newAs(rev rAs, 0, [BBi], tpairs)))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1168
                       (seqof (fn()=> cell), null)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1169
 in  if eres_flg then eres(rev rAs)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1170
     else res(pull(Unify.unifiers(sign, env, dpairs)))
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1171
 end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1172
end;  (*open Sequence*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1173
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1174
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1175
fun bicompose match arg i state =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1176
    bicompose_aux match (state, dest_state(state,i), false) arg;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1177
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1178
(*Quick test whether rule is resolvable with the subgoal with hyps Hs
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1179
  and conclusion B.  If eres_flg then checks 1st premise of rule also*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1180
fun could_bires (Hs, B, eres_flg, rule) =
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1181
    let fun could_reshyp (A1::_) = exists (apl(A1,could_unify)) Hs
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1182
          | could_reshyp [] = false;  (*no premise -- illegal*)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1183
    in  could_unify(concl_of rule, B) andalso
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1184
        (not eres_flg  orelse  could_reshyp (prems_of rule))
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1185
    end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1186
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1187
(*Bi-resolution of a state with a list of (flag,rule) pairs.
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1188
  Puts the rule above:  rule/state.  Renames vars in the rules. *)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1189
fun biresolution match brules i state =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1190
    let val lift = lift_rule(state, i);
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1191
        val (stpairs, Bs, Bi, C) = dest_state(state,i)
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1192
        val B = Logic.strip_assums_concl Bi;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1193
        val Hs = Logic.strip_assums_hyp Bi;
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1194
        val comp = bicompose_aux match (state, (stpairs, Bs, Bi, C), true);
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1195
        fun res [] = Sequence.null
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1196
          | res ((eres_flg, rule)::brules) =
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1197
              if could_bires (Hs, B, eres_flg, rule)
1160
8845eb5f0e5e added add_trrules_i;
wenzelm
parents: 1065
diff changeset
  1198
              then Sequence.seqof (*delay processing remainder till needed*)
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1199
                  (fn()=> Some(comp (eres_flg, lift rule, nprems_of rule),
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1200
                               res brules))
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1201
              else res brules
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1202
    in  Sequence.flats (res brules)  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1203
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1204
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1205
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1206
(*** Meta simp sets ***)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1207
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1208
type rrule = {thm:thm, lhs:term, perm:bool};
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1209
type cong = {thm:thm, lhs:term};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1210
datatype meta_simpset =
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1211
  Mss of {net:rrule Net.net, congs:(string * cong)list, bounds:string list,
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1212
          prems: thm list, mk_rews: thm -> thm list};
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1213
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1214
(*A "mss" contains data needed during conversion:
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1215
  net: discrimination net of rewrite rules
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1216
  congs: association list of congruence rules
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1217
  bounds: names of bound variables already used;
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1218
          for generating new names when rewriting under lambda abstractions
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1219
  mk_rews: used when local assumptions are added
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1220
*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1221
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1222
val empty_mss = Mss{net= Net.empty, congs= [], bounds=[], prems= [],
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1223
                    mk_rews = K[]};
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1224
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1225
exception SIMPLIFIER of string * thm;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1226
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
  1227
fun prtm a sign t = (writeln a; writeln(Sign.string_of_term sign t));
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1228
209
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1229
val trace_simp = ref false;
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1230
229
4002c4cd450c Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents: 225
diff changeset
  1231
fun trace_term a sign t = if !trace_simp then prtm a sign t else ();
209
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1232
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1233
fun trace_thm a (Thm{sign,prop,...}) = trace_term a sign prop;
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1234
427
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1235
fun vperm(Var _, Var _) = true
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1236
  | vperm(Abs(_,_,s), Abs(_,_,t)) = vperm(s,t)
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1237
  | vperm(t1$t2, u1$u2) = vperm(t1,u1) andalso vperm(t2,u2)
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1238
  | vperm(t,u) = (t=u);
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1239
427
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1240
fun var_perm(t,u) = vperm(t,u) andalso
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1241
                    eq_set(add_term_vars(t,[]), add_term_vars(u,[]))
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1242
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1243
(*simple test for looping rewrite*)
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1244
fun loops sign prems (lhs,rhs) =
1023
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1245
   is_Var(lhs)
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1246
  orelse
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1247
   (exists (apl(lhs, Logic.occs)) (rhs::prems))
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1248
  orelse
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1249
   (null(prems) andalso
f5f36bdc8003 Fixed bug in the simplifier: added uses of maxidx_of_term to make sure that
nipkow
parents: 979
diff changeset
  1250
    Pattern.matches (#tsig(Sign.rep_sg sign)) (lhs,rhs));
1028
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1251
(* the condition "null(prems)" in the last case is necessary because
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1252
   conditional rewrites with extra variables in the conditions may terminate
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1253
   although the rhs is an instance of the lhs. Example:
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1254
   ?m < ?n ==> f(?n) == f(?m)
88c8df00905b Added comment to function "loops".
nipkow
parents: 1023
diff changeset
  1255
*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1256
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1257
fun mk_rrule raw_thm =
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1258
  let
1258
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1259
      val thm = strip_shyps raw_thm;
1238
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1260
      val Thm{sign,prop,maxidx,...} = thm;
289c573327f0 considerably tuned shyps handling;
wenzelm
parents: 1229
diff changeset
  1261
      val prems = Logic.strip_imp_prems prop
678
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1262
      val concl = Logic.strip_imp_concl prop
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1263
      val (lhs,_) = Logic.dest_equals concl handle TERM _ =>
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1264
                      raise SIMPLIFIER("Rewrite rule not a meta-equality",thm)
678
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1265
      val econcl = Pattern.eta_contract concl
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1266
      val (elhs,erhs) = Logic.dest_equals econcl
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1267
      val perm = var_perm(elhs,erhs) andalso not(elhs aconv erhs)
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1268
                                     andalso not(is_Var(elhs))
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1269
  in
1258
2a2d8c74a756 bicompose_aux: tuned fix_shyps;
wenzelm
parents: 1238
diff changeset
  1270
     if not perm andalso loops sign prems (elhs,erhs) then
1220
3b0b8408fc5f MAJOR changes:
wenzelm
parents: 1195
diff changeset
  1271
       (prtm "Warning: ignoring looping rewrite rule" sign prop; None)
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1272
     else Some{thm=thm,lhs=lhs,perm=perm}
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1273
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1274
87
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1275
local
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1276
 fun eq({thm=Thm{prop=p1,...},...}:rrule,
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1277
        {thm=Thm{prop=p2,...},...}:rrule) = p1 aconv p2
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1278
in
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1279
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1280
fun add_simp(mss as Mss{net,congs,bounds,prems,mk_rews},
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1281
             thm as Thm{sign,prop,...}) =
87
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1282
  case mk_rrule thm of
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1283
    None => mss
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1284
  | Some(rrule as {lhs,...}) =>
209
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1285
      (trace_thm "Adding rewrite rule:" thm;
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1286
       Mss{net= (Net.insert_term((lhs,rrule),net,eq)
feb8ff35810a changed tracing of simplifier
nipkow
parents: 208
diff changeset
  1287
                 handle Net.INSERT =>
87
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1288
                  (prtm "Warning: ignoring duplicate rewrite rule" sign prop;
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1289
                   net)),
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1290
           congs=congs, bounds=bounds, prems=prems,mk_rews=mk_rews});
87
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1291
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1292
fun del_simp(mss as Mss{net,congs,bounds,prems,mk_rews},
87
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1293
             thm as Thm{sign,prop,...}) =
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1294
  case mk_rrule thm of
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1295
    None => mss
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1296
  | Some(rrule as {lhs,...}) =>
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1297
      Mss{net= (Net.delete_term((lhs,rrule),net,eq)
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1298
                handle Net.INSERT =>
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1299
                 (prtm "Warning: rewrite rule not in simpset" sign prop;
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1300
                  net)),
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1301
             congs=congs, bounds=bounds, prems=prems,mk_rews=mk_rews}
87
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1302
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1303
end;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1304
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1305
val add_simps = foldl add_simp;
87
c378e56d4a4b added function del_simps
nipkow
parents: 0
diff changeset
  1306
val del_simps = foldl del_simp;
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1307
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1308
fun mss_of thms = add_simps(empty_mss,thms);
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1309
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1310
fun add_cong(Mss{net,congs,bounds,prems,mk_rews},thm) =
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1311
  let val (lhs,_) = Logic.dest_equals(concl_of thm) handle TERM _ =>
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1312
                    raise SIMPLIFIER("Congruence not a meta-equality",thm)
678
6151b7f3b606 Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents: 659
diff changeset
  1313
(*      val lhs = Pattern.eta_contract lhs*)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1314
      val (a,_) = dest_Const (head_of lhs) handle TERM _ =>
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1315
                  raise SIMPLIFIER("Congruence must start with a constant",thm)
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1316
  in Mss{net=net, congs=(a,{lhs=lhs,thm=thm})::congs, bounds=bounds,
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1317
         prems=prems, mk_rews=mk_rews}
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1318
  end;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1319
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1320
val (op add_congs) = foldl add_cong;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1321
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1322
fun add_prems(Mss{net,congs,bounds,prems,mk_rews},thms) =
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1323
  Mss{net=net, congs=congs, bounds=bounds, prems=thms@prems, mk_rews=mk_rews};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1324
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1325
fun prems_of_mss(Mss{prems,...}) = prems;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1326
405
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1327
fun set_mk_rews(Mss{net,congs,bounds,prems,...},mk_rews) =
c97514f63633 Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents: 399
diff changeset
  1328
  Mss{net=net, congs=congs, bounds=bounds, prems=prems, mk_rews=mk_rews};
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1329
fun mk_rews_of_mss(Mss{mk_rews,...}) = mk_rews;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1330
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1331
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1332
(*** Meta-level rewriting
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1333
     uses conversions, omitting proofs for efficiency.  See
250
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1334
        L C Paulson, A higher-order implementation of rewriting,
9b5a069285ce extend_theory: changed type of "abbrs" arg;
wenzelm
parents: 242
diff changeset
  1335
        Science of Computer Programming 3 (1983), pages 119-149. ***)
0
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1336
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1337
type prover = meta_simpset -> thm -> thm option;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1338
type termrec = (Sign.sg * term list) * term;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1339
type conv = meta_simpset -> termrec -> termrec;
a5a9c433f639 Initial revision
clasohm
parents:
diff changeset
  1340
305
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1341
datatype order = LESS | EQUAL | GREATER;
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1342
305
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1343
fun stringord(a,b:string) = if a<b then LESS  else
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1344
                            if a=b then EQUAL else GREATER;
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1345
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1346
fun intord(i,j:int) = if i<j then LESS  else
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1347
                      if i=j then EQUAL else GREATER;
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1348
427
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1349
(* NB: non-linearity of the ordering is not a soundness problem *)
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1350
305
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1351
(* FIXME: "***ABSTRACTION***" is a hack and makes the ordering non-linear *)
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1352
fun string_of_hd(Const(a,_)) = a
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1353
  | string_of_hd(Free(a,_))  = a
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1354
  | string_of_hd(Var(v,_))   = Syntax.string_of_vname v
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1355
  | string_of_hd(Bound i)    = string_of_int i
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1356
  | string_of_hd(Abs _)      = "***ABSTRACTION***";
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1357
305
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1358
(* a strict (not reflexive) linear well-founded AC-compatible ordering
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1359
 * for terms:
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1360
 * s < t <=> 1. size(s) < size(t) or
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1361
             2. size(s) = size(t) and s=f(...) and t = g(...) and f<g or
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1362
             3. size(s) = size(t) and s=f(s1..sn) and t=f(t1..tn) and
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1363
                (s1..sn) < (t1..tn) (lexicographically)
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1364
 *)
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1365
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1366
(* FIXME: should really take types into account as well.
427
4ce2ce940faf ordered rewriting applies to conditional rules as well now
nipkow
parents: 421
diff changeset
  1367
 * Otherwise non-linear *)
622
bf9821f58781 Modified termord to take account of the Abs-Abs case.
nipkow
parents: 574
diff changeset
  1368
fun termord(Abs(_,_,t),Abs(_,_,u)) = termord(t,u)
bf9821f58781 Modified termord to take account of the Abs-Abs case.
nipkow
parents: 574
diff changeset
  1369
  | termord(t,u) =
305
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1370
      (case intord(size_of_term t,size_of_term u) of
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1371
         EQUAL => let val (f,ts) = strip_comb t and (g,us) = strip_comb u
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1372
                  in case stringord(string_of_hd f, string_of_hd g) of
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1373
                       EQUAL => lextermord(ts,us)
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1374
                     | ord   => ord
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1375
                  end
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1376
       | ord => ord)
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1377
and lextermord(t::ts,u::us) =
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1378
      (case termord(t,u) of
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1379
         EQUAL => lextermord(ts,us)
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1380
       | ord   => ord)
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1381
  | lextermord([],[]) = EQUAL
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288
diff changeset
  1382
  | lextermord _ = error("lextermord");
288
b00ce6a1fe27 Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents: 274
diff changeset
  1383
305
4c2bbb5de471 Changed term ordering for permutative rewrites to be AC-compatible.
nipkow
parents: 288