author | paulson |
Fri, 08 Dec 1995 10:23:29 +0100 | |
changeset 1390 | bf523422a3df |
parent 1258 | 2a2d8c74a756 |
child 1394 | a1d2735f5ade |
permissions | -rw-r--r-- |
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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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||
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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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|
1238 | 269 |
(** sort contexts of theorems **) |
270 |
||
271 |
(* basic utils *) |
|
272 |
||
273 |
(*accumulate sorts suppressing duplicates; these are coded low level |
|
274 |
to improve efficiency a bit*) |
|
275 |
||
276 |
fun add_typ_sorts (Type (_, Ts), Ss) = add_typs_sorts (Ts, Ss) |
|
277 |
| add_typ_sorts (TFree (_, S), Ss) = S ins Ss |
|
278 |
| add_typ_sorts (TVar (_, S), Ss) = S ins Ss |
|
279 |
and add_typs_sorts ([], Ss) = Ss |
|
280 |
| add_typs_sorts (T :: Ts, Ss) = add_typs_sorts (Ts, add_typ_sorts (T, Ss)); |
|
281 |
||
282 |
fun add_term_sorts (Const (_, T), Ss) = add_typ_sorts (T, Ss) |
|
283 |
| add_term_sorts (Free (_, T), Ss) = add_typ_sorts (T, Ss) |
|
284 |
| add_term_sorts (Var (_, T), Ss) = add_typ_sorts (T, Ss) |
|
285 |
| add_term_sorts (Bound _, Ss) = Ss |
|
286 |
| add_term_sorts (Abs (_, T, t), Ss) = add_term_sorts (t, add_typ_sorts (T, Ss)) |
|
287 |
| add_term_sorts (t $ u, Ss) = add_term_sorts (t, add_term_sorts (u, Ss)); |
|
288 |
||
289 |
fun add_terms_sorts ([], Ss) = Ss |
|
290 |
| add_terms_sorts (t :: ts, Ss) = add_terms_sorts (ts, add_term_sorts (t, Ss)); |
|
291 |
||
1258 | 292 |
fun env_codT (Envir.Envir {iTs, ...}) = map snd iTs; |
293 |
||
294 |
fun add_env_sorts (env, Ss) = |
|
295 |
add_terms_sorts (map snd (Envir.alist_of env), |
|
296 |
add_typs_sorts (env_codT env, Ss)); |
|
297 |
||
1238 | 298 |
fun add_thm_sorts (Thm {hyps, prop, ...}, Ss) = |
299 |
add_terms_sorts (hyps, add_term_sorts (prop, Ss)); |
|
300 |
||
301 |
fun add_thms_shyps ([], Ss) = Ss |
|
302 |
| add_thms_shyps (Thm {shyps, ...} :: ths, Ss) = |
|
303 |
add_thms_shyps (ths, shyps union Ss); |
|
304 |
||
305 |
||
306 |
(*get 'dangling' sort constraints of a thm*) |
|
307 |
fun extra_shyps (th as Thm {shyps, ...}) = |
|
308 |
shyps \\ add_thm_sorts (th, []); |
|
309 |
||
310 |
||
311 |
(* fix_shyps *) |
|
312 |
||
313 |
(*preserve sort contexts of rule premises and substituted types*) |
|
314 |
fun fix_shyps thms Ts thm = |
|
315 |
let |
|
316 |
val Thm {sign, maxidx, hyps, prop, ...} = thm; |
|
317 |
val shyps = |
|
318 |
add_thm_sorts (thm, add_typs_sorts (Ts, add_thms_shyps (thms, []))); |
|
319 |
in |
|
320 |
Thm {sign = sign, maxidx = maxidx, |
|
321 |
shyps = shyps, hyps = hyps, prop = prop} |
|
322 |
end; |
|
323 |
||
324 |
||
325 |
(* strip_shyps *) (* FIXME improve? (e.g. only minimal extra sorts) *) |
|
326 |
||
327 |
val force_strip_shyps = ref true; (* FIXME tmp *) |
|
328 |
||
329 |
(*remove extra sorts that are known to be syntactically non-empty*) |
|
330 |
fun strip_shyps thm = |
|
331 |
let |
|
332 |
val Thm {sign, maxidx, shyps, hyps, prop} = thm; |
|
333 |
val sorts = add_thm_sorts (thm, []); |
|
334 |
val maybe_empty = not o Sign.nonempty_sort sign sorts; |
|
335 |
val shyps' = filter (fn S => S mem sorts orelse maybe_empty S) shyps; |
|
336 |
in |
|
337 |
Thm {sign = sign, maxidx = maxidx, |
|
338 |
shyps = |
|
339 |
(if eq_set (shyps', sorts) orelse not (! force_strip_shyps) then shyps' |
|
340 |
else (* FIXME tmp *) |
|
341 |
(writeln ("WARNING Removed sort hypotheses: " ^ |
|
342 |
commas (map Type.str_of_sort (shyps' \\ sorts))); |
|
343 |
writeln "WARNING Let's hope these sorts are non-empty!"; |
|
344 |
sorts)), |
|
345 |
hyps = hyps, prop = prop} |
|
346 |
end; |
|
347 |
||
348 |
||
349 |
(* implies_intr_shyps *) |
|
350 |
||
351 |
(*discharge all extra sort hypotheses*) |
|
352 |
fun implies_intr_shyps thm = |
|
353 |
(case extra_shyps thm of |
|
354 |
[] => thm |
|
355 |
| xshyps => |
|
356 |
let |
|
357 |
val Thm {sign, maxidx, shyps, hyps, prop} = thm; |
|
358 |
val shyps' = logicS ins (shyps \\ xshyps); |
|
359 |
val used_names = foldr add_term_tfree_names (prop :: hyps, []); |
|
360 |
val names = |
|
361 |
tl (variantlist (replicate (length xshyps + 1) "'", used_names)); |
|
362 |
val tfrees = map (TFree o rpair logicS) names; |
|
363 |
||
364 |
fun mk_insort (T, S) = map (Logic.mk_inclass o pair T) S; |
|
365 |
val sort_hyps = flat (map2 mk_insort (tfrees, xshyps)); |
|
366 |
in |
|
367 |
Thm {sign = sign, maxidx = maxidx, shyps = shyps', |
|
368 |
hyps = hyps, prop = Logic.list_implies (sort_hyps, prop)} |
|
369 |
end); |
|
370 |
||
371 |
||
372 |
||
387
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new datatype theory, supports 'draft theories' and incremental extension:
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parents:
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diff
changeset
|
373 |
(*** Theories ***) |
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new datatype theory, supports 'draft theories' and incremental extension:
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diff
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|
374 |
|
0 | 375 |
datatype theory = |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
376 |
Theory of { |
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
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diff
changeset
|
377 |
sign: Sign.sg, |
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
378 |
new_axioms: term Symtab.table, |
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
379 |
parents: theory list}; |
0 | 380 |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
381 |
fun rep_theory (Theory args) = args; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
382 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
383 |
(*errors involving theories*) |
0 | 384 |
exception THEORY of string * theory list; |
385 |
||
386 |
||
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
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diff
changeset
|
387 |
val sign_of = #sign o rep_theory; |
0 | 388 |
val syn_of = #syn o Sign.rep_sg o sign_of; |
389 |
||
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
390 |
(*stamps associated with a theory*) |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
391 |
val stamps_of_thy = #stamps o Sign.rep_sg o sign_of; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
392 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
393 |
(*return the immediate ancestors*) |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
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diff
changeset
|
394 |
val parents_of = #parents o rep_theory; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
395 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
396 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
397 |
(*compare theories*) |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
398 |
val subthy = Sign.subsig o pairself sign_of; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
399 |
val eq_thy = Sign.eq_sg o pairself sign_of; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
400 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
401 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
402 |
(*look up the named axiom in the theory*) |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
403 |
fun get_axiom theory name = |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
404 |
let |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
405 |
fun get_ax [] = raise Match |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
406 |
| get_ax (Theory {sign, new_axioms, parents} :: thys) = |
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
407 |
(case Symtab.lookup (new_axioms, name) of |
1238 | 408 |
Some t => fix_shyps [] [] |
409 |
(Thm {sign = sign, maxidx = maxidx_of_term t, |
|
410 |
shyps = [], hyps = [], prop = t}) |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
411 |
| None => get_ax parents handle Match => get_ax thys); |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
412 |
in |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
413 |
get_ax [theory] handle Match |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
414 |
=> raise THEORY ("get_axiom: no axiom " ^ quote name, [theory]) |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
415 |
end; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
416 |
|
776
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
417 |
(*return additional axioms of this theory node*) |
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
418 |
fun axioms_of thy = |
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
419 |
map (fn (s, _) => (s, get_axiom thy s)) |
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
420 |
(Symtab.dest (#new_axioms (rep_theory thy))); |
df8f91c0e57c
improved axioms_of: returns thms as the manual says;
wenzelm
parents:
721
diff
changeset
|
421 |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
422 |
|
922
196ca0973a6d
added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents:
900
diff
changeset
|
423 |
(* the Pure theories *) |
196ca0973a6d
added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents:
900
diff
changeset
|
424 |
|
196ca0973a6d
added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents:
900
diff
changeset
|
425 |
val proto_pure_thy = |
196ca0973a6d
added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents:
900
diff
changeset
|
426 |
Theory {sign = Sign.proto_pure, new_axioms = Symtab.null, parents = []}; |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
427 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
428 |
val pure_thy = |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
429 |
Theory {sign = Sign.pure, new_axioms = Symtab.null, parents = []}; |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
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 = |
196ca0973a6d
added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents:
900
diff
changeset
|
432 |
Theory {sign = Sign.cpure, new_axioms = Symtab.null, parents = []}; |
196ca0973a6d
added CPure (curried functions) and ProtoPure (ancestor of Pure and CPure)
clasohm
parents:
900
diff
changeset
|
433 |
|
0 | 434 |
|
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
435 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
436 |
(** extend theory **) |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
437 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
438 |
fun err_dup_axms names = |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
439 |
error ("Duplicate axiom name(s) " ^ commas_quote names); |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
440 |
|
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
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:
wenzelm
parents:
309
diff
changeset
|
442 |
let |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
443 |
val draft = Sign.is_draft sign; |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
444 |
val new_axioms1 = |
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
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:
wenzelm
parents:
309
diff
changeset
|
446 |
handle Symtab.DUPS names => err_dup_axms names; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
447 |
val parents1 = if draft then parents else [thy]; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
448 |
in |
399
86cc2b98f9e0
added class_triv: theory -> class -> thm (for axclasses);
wenzelm
parents:
387
diff
changeset
|
449 |
Theory {sign = sign1, new_axioms = new_axioms1, parents = parents1} |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
450 |
end; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
451 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
452 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
453 |
(* extend signature of a theory *) |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
454 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
455 |
fun ext_sg extfun decls (thy as Theory {sign, ...}) = |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
456 |
ext_thy thy (extfun decls sign) []; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
457 |
|
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
458 |
val add_classes = ext_sg Sign.add_classes; |
421 | 459 |
val add_classrel = ext_sg Sign.add_classrel; |
387
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
460 |
val add_defsort = ext_sg Sign.add_defsort; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
461 |
val add_types = ext_sg Sign.add_types; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
462 |
val add_tyabbrs = ext_sg Sign.add_tyabbrs; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
463 |
val add_tyabbrs_i = ext_sg Sign.add_tyabbrs_i; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
464 |
val add_arities = ext_sg Sign.add_arities; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
465 |
val add_consts = ext_sg Sign.add_consts; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
466 |
val add_consts_i = ext_sg Sign.add_consts_i; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
467 |
val add_syntax = ext_sg Sign.add_syntax; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
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:
wenzelm
parents:
309
diff
changeset
|
469 |
val add_trfuns = ext_sg Sign.add_trfuns; |
69f4356d915d
new datatype theory, supports 'draft theories' and incremental extension:
wenzelm
parents:
309
diff
changeset
|
470 |
val add_trrules = ext_sg Sign.add_trrules; |
1160 | 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 | 473 |
|
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 | 498 |
fun inferT_axm sg (name, pre_tm) = |
959 | 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 | 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 | 543 |
|
544 |
||
1220 | 545 |
(*** Meta rules ***) |
546 |
||
547 |
(** 'primitive' rules **) |
|
548 |
||
549 |
(*discharge all assumptions t from ts*) |
|
0 | 550 |
val disch = gen_rem (op aconv); |
551 |
||
1220 | 552 |
(*The assumption rule A|-A in a theory*) |
250 | 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 | 555 |
in if T<>propT then |
556 |
raise THM("assume: assumptions must have type prop", 0, []) |
|
0 | 557 |
else if maxidx <> ~1 then |
250 | 558 |
raise THM("assume: assumptions may not contain scheme variables", |
559 |
maxidx, []) |
|
1238 | 560 |
else fix_shyps [] [] |
561 |
(Thm{sign = sign, maxidx = ~1, shyps = [], hyps = [prop], prop = prop}) |
|
0 | 562 |
end; |
563 |
||
1220 | 564 |
(*Implication introduction |
565 |
A |- B |
|
566 |
------- |
|
567 |
A ==> B |
|
568 |
*) |
|
1238 | 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 | 571 |
in if T<>propT then |
250 | 572 |
raise THM("implies_intr: assumptions must have type prop", 0, [thB]) |
1238 | 573 |
else fix_shyps [thB] [] |
574 |
(Thm{sign= Sign.merge (sign,signA), maxidx= max[maxidxA, maxidx], |
|
575 |
shyps= [], hyps= disch(hyps,A), prop= implies$A$prop}) |
|
0 | 576 |
handle TERM _ => |
577 |
raise THM("implies_intr: incompatible signatures", 0, [thB]) |
|
578 |
end; |
|
579 |
||
1220 | 580 |
(*Implication elimination |
581 |
A ==> B A |
|
582 |
------------ |
|
583 |
B |
|
584 |
*) |
|
0 | 585 |
fun implies_elim thAB thA : thm = |
586 |
let val Thm{maxidx=maxA, hyps=hypsA, prop=propA,...} = thA |
|
250 | 587 |
and Thm{sign, maxidx, hyps, prop,...} = thAB; |
588 |
fun err(a) = raise THM("implies_elim: "^a, 0, [thAB,thA]) |
|
0 | 589 |
in case prop of |
250 | 590 |
imp$A$B => |
591 |
if imp=implies andalso A aconv propA |
|
1220 | 592 |
then fix_shyps [thAB, thA] [] |
593 |
(Thm{sign= merge_thm_sgs(thAB,thA), |
|
250 | 594 |
maxidx= max[maxA,maxidx], |
1220 | 595 |
shyps= [], |
250 | 596 |
hyps= hypsA union hyps, (*dups suppressed*) |
1220 | 597 |
prop= B}) |
250 | 598 |
else err("major premise") |
599 |
| _ => err("major premise") |
|
0 | 600 |
end; |
250 | 601 |
|
1220 | 602 |
(*Forall introduction. The Free or Var x must not be free in the hypotheses. |
603 |
A |
|
604 |
----- |
|
605 |
!!x.A |
|
606 |
*) |
|
1238 | 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 | 609 |
fun result(a,T) = fix_shyps [th] [] |
610 |
(Thm{sign= sign, maxidx= maxidx, shyps= [], hyps= hyps, |
|
611 |
prop= all(T) $ Abs(a, T, abstract_over (x,prop))}) |
|
0 | 612 |
in case x of |
250 | 613 |
Free(a,T) => |
614 |
if exists (apl(x, Logic.occs)) hyps |
|
615 |
then raise THM("forall_intr: variable free in assumptions", 0, [th]) |
|
616 |
else result(a,T) |
|
0 | 617 |
| Var((a,_),T) => result(a,T) |
618 |
| _ => raise THM("forall_intr: not a variable", 0, [th]) |
|
619 |
end; |
|
620 |
||
1220 | 621 |
(*Forall elimination |
622 |
!!x.A |
|
623 |
------ |
|
624 |
A[t/x] |
|
625 |
*) |
|
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 | 628 |
in case prop of |
250 | 629 |
Const("all",Type("fun",[Type("fun",[qary,_]),_])) $ A => |
630 |
if T<>qary then |
|
631 |
raise THM("forall_elim: type mismatch", 0, [th]) |
|
1220 | 632 |
else fix_shyps [th] [] |
633 |
(Thm{sign= Sign.merge(sign,signt), |
|
250 | 634 |
maxidx= max[maxidx, maxt], |
1220 | 635 |
shyps= [], hyps= hyps, prop= betapply(A,t)}) |
250 | 636 |
| _ => raise THM("forall_elim: not quantified", 0, [th]) |
0 | 637 |
end |
638 |
handle TERM _ => |
|
250 | 639 |
raise THM("forall_elim: incompatible signatures", 0, [th]); |
0 | 640 |
|
641 |
||
1220 | 642 |
(* Equality *) |
0 | 643 |
|
1220 | 644 |
(* Definition of the relation =?= *) |
1238 | 645 |
val flexpair_def = fix_shyps [] [] |
646 |
(Thm{sign= Sign.proto_pure, shyps= [], hyps= [], maxidx= 0, |
|
647 |
prop= term_of (read_cterm Sign.proto_pure |
|
648 |
("(?t =?= ?u) == (?t == ?u::?'a::{})", propT))}); |
|
0 | 649 |
|
650 |
(*The reflexivity rule: maps t to the theorem t==t *) |
|
250 | 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 | 653 |
in fix_shyps [] [] |
654 |
(Thm{sign= sign, shyps= [], hyps= [], maxidx= maxidx, |
|
655 |
prop= Logic.mk_equals(t,t)}) |
|
0 | 656 |
end; |
657 |
||
658 |
(*The symmetry rule |
|
1220 | 659 |
t==u |
660 |
---- |
|
661 |
u==t |
|
662 |
*) |
|
663 |
fun symmetric (th as Thm{sign,shyps,hyps,prop,maxidx}) = |
|
0 | 664 |
case prop of |
665 |
(eq as Const("==",_)) $ t $ u => |
|
1238 | 666 |
(*no fix_shyps*) |
667 |
Thm{sign=sign, shyps=shyps, hyps=hyps, maxidx=maxidx, prop= eq$u$t} |
|
0 | 668 |
| _ => raise THM("symmetric", 0, [th]); |
669 |
||
670 |
(*The transitive rule |
|
1220 | 671 |
t1==u u==t2 |
672 |
-------------- |
|
673 |
t1==t2 |
|
674 |
*) |
|
0 | 675 |
fun transitive th1 th2 = |
676 |
let val Thm{maxidx=max1, hyps=hyps1, prop=prop1,...} = th1 |
|
677 |
and Thm{maxidx=max2, hyps=hyps2, prop=prop2,...} = th2; |
|
678 |
fun err(msg) = raise THM("transitive: "^msg, 0, [th1,th2]) |
|
679 |
in case (prop1,prop2) of |
|
680 |
((eq as Const("==",_)) $ t1 $ u, Const("==",_) $ u' $ t2) => |
|
250 | 681 |
if not (u aconv u') then err"middle term" else |
1220 | 682 |
fix_shyps [th1, th2] [] |
683 |
(Thm{sign= merge_thm_sgs(th1,th2), shyps= [], |
|
684 |
hyps= hyps1 union hyps2, |
|
685 |
maxidx= max[max1,max2], prop= eq$t1$t2}) |
|
0 | 686 |
| _ => err"premises" |
687 |
end; |
|
688 |
||
1160 | 689 |
(*Beta-conversion: maps (%x.t)(u) to the theorem (%x.t)(u) == t[u/x] *) |
250 | 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 | 692 |
in case t of |
1238 | 693 |
Abs(_,_,bodt) $ u => fix_shyps [] [] |
694 |
(Thm{sign= sign, shyps= [], hyps= [], |
|
250 | 695 |
maxidx= maxidx_of_term t, |
1238 | 696 |
prop= Logic.mk_equals(t, subst_bounds([u],bodt))}) |
250 | 697 |
| _ => raise THM("beta_conversion: not a redex", 0, []) |
0 | 698 |
end; |
699 |
||
700 |
(*The extensionality rule (proviso: x not free in f, g, or hypotheses) |
|
1220 | 701 |
f(x) == g(x) |
702 |
------------ |
|
703 |
f == g |
|
704 |
*) |
|
705 |
fun extensional (th as Thm{sign,maxidx,shyps,hyps,prop}) = |
|
0 | 706 |
case prop of |
707 |
(Const("==",_)) $ (f$x) $ (g$y) => |
|
250 | 708 |
let fun err(msg) = raise THM("extensional: "^msg, 0, [th]) |
0 | 709 |
in (if x<>y then err"different variables" else |
710 |
case y of |
|
250 | 711 |
Free _ => |
712 |
if exists (apl(y, Logic.occs)) (f::g::hyps) |
|
713 |
then err"variable free in hyps or functions" else () |
|
714 |
| Var _ => |
|
715 |
if Logic.occs(y,f) orelse Logic.occs(y,g) |
|
716 |
then err"variable free in functions" else () |
|
717 |
| _ => err"not a variable"); |
|
1238 | 718 |
(*no fix_shyps*) |
1220 | 719 |
Thm{sign=sign, shyps=shyps, hyps=hyps, maxidx=maxidx, |
250 | 720 |
prop= Logic.mk_equals(f,g)} |
0 | 721 |
end |
722 |
| _ => raise THM("extensional: premise", 0, [th]); |
|
723 |
||
724 |
(*The abstraction rule. The Free or Var x must not be free in the hypotheses. |
|
725 |
The bound variable will be named "a" (since x will be something like x320) |
|
1220 | 726 |
t == u |
727 |
------------ |
|
728 |
%x.t == %x.u |
|
729 |
*) |
|
1238 | 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 | 732 |
val (t,u) = Logic.dest_equals prop |
733 |
handle TERM _ => |
|
734 |
raise THM("abstract_rule: premise not an equality", 0, [th]) |
|
1238 | 735 |
fun result T = fix_shyps [th] [] |
736 |
(Thm{sign= sign, maxidx= maxidx, shyps= [], hyps= hyps, |
|
250 | 737 |
prop= Logic.mk_equals(Abs(a, T, abstract_over (x,t)), |
1238 | 738 |
Abs(a, T, abstract_over (x,u)))}) |
0 | 739 |
in case x of |
250 | 740 |
Free(_,T) => |
741 |
if exists (apl(x, Logic.occs)) hyps |
|
742 |
then raise THM("abstract_rule: variable free in assumptions", 0, [th]) |
|
743 |
else result T |
|
0 | 744 |
| Var(_,T) => result T |
745 |
| _ => raise THM("abstract_rule: not a variable", 0, [th]) |
|
746 |
end; |
|
747 |
||
748 |
(*The combination rule |
|
1220 | 749 |
f==g t==u |
750 |
------------ |
|
751 |
f(t)==g(u) |
|
752 |
*) |
|
0 | 753 |
fun combination th1 th2 = |
1220 | 754 |
let val Thm{maxidx=max1, shyps=shyps1, hyps=hyps1, prop=prop1,...} = th1 |
755 |
and Thm{maxidx=max2, shyps=shyps2, hyps=hyps2, prop=prop2,...} = th2 |
|
0 | 756 |
in case (prop1,prop2) of |
757 |
(Const("==",_) $ f $ g, Const("==",_) $ t $ u) => |
|
1238 | 758 |
(*no fix_shyps*) |
1220 | 759 |
Thm{sign= merge_thm_sgs(th1,th2), shyps= shyps1 union shyps2, |
760 |
hyps= hyps1 union hyps2, |
|
250 | 761 |
maxidx= max[max1,max2], prop= Logic.mk_equals(f$t, g$u)} |
0 | 762 |
| _ => raise THM("combination: premises", 0, [th1,th2]) |
763 |
end; |
|
764 |
||
765 |
||
766 |
(*The equal propositions rule |
|
1220 | 767 |
A==B A |
768 |
--------- |
|
769 |
B |
|
770 |
*) |
|
0 | 771 |
fun equal_elim th1 th2 = |
772 |
let val Thm{maxidx=max1, hyps=hyps1, prop=prop1,...} = th1 |
|
773 |
and Thm{maxidx=max2, hyps=hyps2, prop=prop2,...} = th2; |
|
774 |
fun err(msg) = raise THM("equal_elim: "^msg, 0, [th1,th2]) |
|
775 |
in case prop1 of |
|
776 |
Const("==",_) $ A $ B => |
|
250 | 777 |
if not (prop2 aconv A) then err"not equal" else |
1220 | 778 |
fix_shyps [th1, th2] [] |
779 |
(Thm{sign= merge_thm_sgs(th1,th2), shyps= [], |
|
780 |
hyps= hyps1 union hyps2, |
|
781 |
maxidx= max[max1,max2], prop= B}) |
|
0 | 782 |
| _ => err"major premise" |
783 |
end; |
|
784 |
||
785 |
||
786 |
(* Equality introduction |
|
1220 | 787 |
A==>B B==>A |
788 |
-------------- |
|
789 |
A==B |
|
790 |
*) |
|
0 | 791 |
fun equal_intr th1 th2 = |
1220 | 792 |
let val Thm{maxidx=max1, shyps=shyps1, hyps=hyps1, prop=prop1,...} = th1 |
793 |
and Thm{maxidx=max2, shyps=shyps2, hyps=hyps2, prop=prop2,...} = th2; |
|
0 | 794 |
fun err(msg) = raise THM("equal_intr: "^msg, 0, [th1,th2]) |
795 |
in case (prop1,prop2) of |
|
796 |
(Const("==>",_) $ A $ B, Const("==>",_) $ B' $ A') => |
|
250 | 797 |
if A aconv A' andalso B aconv B' |
1238 | 798 |
then |
799 |
(*no fix_shyps*) |
|
800 |
Thm{sign= merge_thm_sgs(th1,th2), shyps= shyps1 union shyps2, |
|
801 |
hyps= hyps1 union hyps2, |
|
802 |
maxidx= max[max1,max2], prop= Logic.mk_equals(A,B)} |
|
250 | 803 |
else err"not equal" |
0 | 804 |
| _ => err"premises" |
805 |
end; |
|
806 |
||
1220 | 807 |
|
808 |
||
0 | 809 |
(**** Derived rules ****) |
810 |
||
811 |
(*Discharge all hypotheses (need not verify cterms) |
|
812 |
Repeated hypotheses are discharged only once; fold cannot do this*) |
|
1220 | 813 |
fun implies_intr_hyps (Thm{sign, maxidx, shyps, hyps=A::As, prop}) = |
1238 | 814 |
implies_intr_hyps (*no fix_shyps*) |
1220 | 815 |
(Thm{sign=sign, maxidx=maxidx, shyps=shyps, |
250 | 816 |
hyps= disch(As,A), prop= implies$A$prop}) |
0 | 817 |
| implies_intr_hyps th = th; |
818 |
||
819 |
(*Smash" unifies the list of term pairs leaving no flex-flex pairs. |
|
250 | 820 |
Instantiates the theorem and deletes trivial tpairs. |
0 | 821 |
Resulting sequence may contain multiple elements if the tpairs are |
822 |
not all flex-flex. *) |
|
1220 | 823 |
fun flexflex_rule (th as Thm{sign,maxidx,hyps,prop,...}) = |
250 | 824 |
let fun newthm env = |
825 |
let val (tpairs,horn) = |
|
826 |
Logic.strip_flexpairs (Envir.norm_term env prop) |
|
827 |
(*Remove trivial tpairs, of the form t=t*) |
|
828 |
val distpairs = filter (not o op aconv) tpairs |
|
829 |
val newprop = Logic.list_flexpairs(distpairs, horn) |
|
1220 | 830 |
in fix_shyps [th] (env_codT env) |
831 |
(Thm{sign= sign, shyps= [], hyps= hyps, |
|
832 |
maxidx= maxidx_of_term newprop, prop= newprop}) |
|
250 | 833 |
end; |
0 | 834 |
val (tpairs,_) = Logic.strip_flexpairs prop |
835 |
in Sequence.maps newthm |
|
250 | 836 |
(Unify.smash_unifiers(sign, Envir.empty maxidx, tpairs)) |
0 | 837 |
end; |
838 |
||
839 |
(*Instantiation of Vars |
|
1220 | 840 |
A |
841 |
------------------- |
|
842 |
A[t1/v1,....,tn/vn] |
|
843 |
*) |
|
0 | 844 |
|
845 |
(*Check that all the terms are Vars and are distinct*) |
|
846 |
fun instl_ok ts = forall is_Var ts andalso null(findrep ts); |
|
847 |
||
848 |
(*For instantiate: process pair of cterms, merge theories*) |
|
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 | 852 |
in if T=U then (Sign.merge(sign, Sign.merge(signt, signu)), (t,u)::tpairs) |
853 |
else raise TYPE("add_ctpair", [T,U], [t,u]) |
|
854 |
end; |
|
855 |
||
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 | 858 |
in (Sign.merge(sign,sign'), (v,T)::vTs) end; |
859 |
||
860 |
(*Left-to-right replacements: ctpairs = [...,(vi,ti),...]. |
|
861 |
Instantiates distinct Vars by terms of same type. |
|
862 |
Normalizes the new theorem! *) |
|
1220 | 863 |
fun instantiate (vcTs,ctpairs) (th as Thm{sign,maxidx,hyps,prop,...}) = |
0 | 864 |
let val (newsign,tpairs) = foldr add_ctpair (ctpairs, (sign,[])); |
865 |
val (newsign,vTs) = foldr add_ctyp (vcTs, (newsign,[])); |
|
250 | 866 |
val newprop = |
867 |
Envir.norm_term (Envir.empty 0) |
|
868 |
(subst_atomic tpairs |
|
869 |
(Type.inst_term_tvars(#tsig(Sign.rep_sg newsign),vTs) prop)) |
|
1220 | 870 |
val newth = |
871 |
fix_shyps [th] (map snd vTs) |
|
872 |
(Thm{sign= newsign, shyps= [], hyps= hyps, |
|
873 |
maxidx= maxidx_of_term newprop, prop= newprop}) |
|
250 | 874 |
in if not(instl_ok(map #1 tpairs)) |
193 | 875 |
then raise THM("instantiate: variables not distinct", 0, [th]) |
876 |
else if not(null(findrep(map #1 vTs))) |
|
877 |
then raise THM("instantiate: type variables not distinct", 0, [th]) |
|
878 |
else (*Check types of Vars for agreement*) |
|
879 |
case findrep (map (#1 o dest_Var) (term_vars newprop)) of |
|
250 | 880 |
ix::_ => raise THM("instantiate: conflicting types for variable " ^ |
881 |
Syntax.string_of_vname ix ^ "\n", 0, [newth]) |
|
882 |
| [] => |
|
883 |
case findrep (map #1 (term_tvars newprop)) of |
|
884 |
ix::_ => raise THM |
|
885 |
("instantiate: conflicting sorts for type variable " ^ |
|
886 |
Syntax.string_of_vname ix ^ "\n", 0, [newth]) |
|
193 | 887 |
| [] => newth |
0 | 888 |
end |
250 | 889 |
handle TERM _ => |
0 | 890 |
raise THM("instantiate: incompatible signatures",0,[th]) |
193 | 891 |
| TYPE _ => raise THM("instantiate: type conflict", 0, [th]); |
0 | 892 |
|
893 |
(*The trivial implication A==>A, justified by assume and forall rules. |
|
894 |
A can contain Vars, not so for assume! *) |
|
250 | 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 | 897 |
in if T<>propT then |
898 |
raise THM("trivial: the term must have type prop", 0, []) |
|
1238 | 899 |
else fix_shyps [] [] |
900 |
(Thm{sign= sign, maxidx= maxidx, shyps= [], hyps= [], |
|
901 |
prop= implies$A$A}) |
|
0 | 902 |
end; |
903 |
||
1160 | 904 |
(*Axiom-scheme reflecting signature contents: "OFCLASS(?'a::c, c_class)" -- |
1220 | 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 | 913 |
fix_shyps [] [] |
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 | 918 |
(* Replace all TFrees not in the hyps by new TVars *) |
1220 | 919 |
fun varifyT(Thm{sign,maxidx,shyps,hyps,prop}) = |
0 | 920 |
let val tfrees = foldr add_term_tfree_names (hyps,[]) |
1238 | 921 |
in (*no fix_shyps*) |
922 |
Thm{sign=sign, maxidx=max[0,maxidx], shyps=shyps, hyps=hyps, |
|
923 |
prop= Type.varify(prop,tfrees)} |
|
0 | 924 |
end; |
925 |
||
926 |
(* Replace all TVars by new TFrees *) |
|
1220 | 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 | 929 |
in (*no fix_shyps*) |
930 |
Thm{sign=sign, maxidx=maxidx_of_term prop', shyps=shyps, hyps=hyps, |
|
931 |
prop=prop'} |
|
1220 | 932 |
end; |
0 | 933 |
|
934 |
||
935 |
(*** Inference rules for tactics ***) |
|
936 |
||
937 |
(*Destruct proof state into constraints, other goals, goal(i), rest *) |
|
938 |
fun dest_state (state as Thm{prop,...}, i) = |
|
939 |
let val (tpairs,horn) = Logic.strip_flexpairs prop |
|
940 |
in case Logic.strip_prems(i, [], horn) of |
|
941 |
(B::rBs, C) => (tpairs, rev rBs, B, C) |
|
942 |
| _ => raise THM("dest_state", i, [state]) |
|
943 |
end |
|
944 |
handle TERM _ => raise THM("dest_state", i, [state]); |
|
945 |
||
309 | 946 |
(*Increment variables and parameters of orule as required for |
0 | 947 |
resolution with goal i of state. *) |
948 |
fun lift_rule (state, i) orule = |
|
1238 | 949 |
let val Thm{shyps=sshyps,prop=sprop,maxidx=smax,...} = state; |
0 | 950 |
val (Bi::_, _) = Logic.strip_prems(i, [], Logic.skip_flexpairs sprop) |
250 | 951 |
handle TERM _ => raise THM("lift_rule", i, [orule,state]); |
0 | 952 |
val (lift_abs,lift_all) = Logic.lift_fns(Bi,smax+1); |
1238 | 953 |
val (Thm{sign,maxidx,shyps,hyps,prop}) = orule |
0 | 954 |
val (tpairs,As,B) = Logic.strip_horn prop |
1238 | 955 |
in (*no fix_shyps*) |
956 |
Thm{hyps=hyps, sign= merge_thm_sgs(state,orule), |
|
957 |
shyps=sshyps union shyps, maxidx= maxidx+smax+1, |
|
250 | 958 |
prop= Logic.rule_of(map (pairself lift_abs) tpairs, |
1238 | 959 |
map lift_all As, lift_all B)} |
0 | 960 |
end; |
961 |
||
962 |
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. *) |
|
963 |
fun assumption i state = |
|
1220 | 964 |
let val Thm{sign,maxidx,hyps,prop,...} = state; |
0 | 965 |
val (tpairs, Bs, Bi, C) = dest_state(state,i) |
250 | 966 |
fun newth (env as Envir.Envir{maxidx, ...}, tpairs) = |
1220 | 967 |
fix_shyps [state] (env_codT env) |
968 |
(Thm{sign=sign, shyps=[], hyps=hyps, maxidx=maxidx, prop= |
|
250 | 969 |
if Envir.is_empty env then (*avoid wasted normalizations*) |
970 |
Logic.rule_of (tpairs, Bs, C) |
|
971 |
else (*normalize the new rule fully*) |
|
1220 | 972 |
Envir.norm_term env (Logic.rule_of (tpairs, Bs, C))}); |
0 | 973 |
fun addprfs [] = Sequence.null |
974 |
| addprfs ((t,u)::apairs) = Sequence.seqof (fn()=> Sequence.pull |
|
975 |
(Sequence.mapp newth |
|
250 | 976 |
(Unify.unifiers(sign,Envir.empty maxidx, (t,u)::tpairs)) |
977 |
(addprfs apairs))) |
|
0 | 978 |
in addprfs (Logic.assum_pairs Bi) end; |
979 |
||
250 | 980 |
(*Solve subgoal Bi of proof state B1...Bn/C by assumption. |
0 | 981 |
Checks if Bi's conclusion is alpha-convertible to one of its assumptions*) |
982 |
fun eq_assumption i state = |
|
1220 | 983 |
let val Thm{sign,maxidx,hyps,prop,...} = state; |
0 | 984 |
val (tpairs, Bs, Bi, C) = dest_state(state,i) |
985 |
in if exists (op aconv) (Logic.assum_pairs Bi) |
|
1220 | 986 |
then fix_shyps [state] [] |
987 |
(Thm{sign=sign, shyps=[], hyps=hyps, maxidx=maxidx, |
|
988 |
prop=Logic.rule_of(tpairs, Bs, C)}) |
|
0 | 989 |
else raise THM("eq_assumption", 0, [state]) |
990 |
end; |
|
991 |
||
992 |
||
993 |
(** User renaming of parameters in a subgoal **) |
|
994 |
||
995 |
(*Calls error rather than raising an exception because it is intended |
|
996 |
for top-level use -- exception handling would not make sense here. |
|
997 |
The names in cs, if distinct, are used for the innermost parameters; |
|
998 |
preceding parameters may be renamed to make all params distinct.*) |
|
999 |
fun rename_params_rule (cs, i) state = |
|
1220 | 1000 |
let val Thm{sign,maxidx,hyps,prop,...} = state |
0 | 1001 |
val (tpairs, Bs, Bi, C) = dest_state(state,i) |
1002 |
val iparams = map #1 (Logic.strip_params Bi) |
|
1003 |
val short = length iparams - length cs |
|
250 | 1004 |
val newnames = |
1005 |
if short<0 then error"More names than abstractions!" |
|
1006 |
else variantlist(take (short,iparams), cs) @ cs |
|
0 | 1007 |
val freenames = map (#1 o dest_Free) (term_frees prop) |
1008 |
val newBi = Logic.list_rename_params (newnames, Bi) |
|
250 | 1009 |
in |
0 | 1010 |
case findrep cs of |
1011 |
c::_ => error ("Bound variables not distinct: " ^ c) |
|
1012 |
| [] => (case cs inter freenames of |
|
1013 |
a::_ => error ("Bound/Free variable clash: " ^ a) |
|
1220 | 1014 |
| [] => fix_shyps [state] [] |
1015 |
(Thm{sign=sign, shyps=[], hyps=hyps, maxidx=maxidx, prop= |
|
1016 |
Logic.rule_of(tpairs, Bs@[newBi], C)})) |
|
0 | 1017 |
end; |
1018 |
||
1019 |
(*** Preservation of bound variable names ***) |
|
1020 |
||
250 | 1021 |
(*Scan a pair of terms; while they are similar, |
0 | 1022 |
accumulate corresponding bound vars in "al"*) |
1238 | 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 | 1025 |
else (x,y)::al) |
0 | 1026 |
| match_bvs(f$s, g$t, al) = match_bvs(f,g,match_bvs(s,t,al)) |
1027 |
| match_bvs(_,_,al) = al; |
|
1028 |
||
1029 |
(* strip abstractions created by parameters *) |
|
1030 |
fun match_bvars((s,t),al) = match_bvs(strip_abs_body s, strip_abs_body t, al); |
|
1031 |
||
1032 |
||
250 | 1033 |
(* strip_apply f A(,B) strips off all assumptions/parameters from A |
0 | 1034 |
introduced by lifting over B, and applies f to remaining part of A*) |
1035 |
fun strip_apply f = |
|
1036 |
let fun strip(Const("==>",_)$ A1 $ B1, |
|
250 | 1037 |
Const("==>",_)$ _ $ B2) = implies $ A1 $ strip(B1,B2) |
1038 |
| strip((c as Const("all",_)) $ Abs(a,T,t1), |
|
1039 |
Const("all",_) $ Abs(_,_,t2)) = c$Abs(a,T,strip(t1,t2)) |
|
1040 |
| strip(A,_) = f A |
|
0 | 1041 |
in strip end; |
1042 |
||
1043 |
(*Use the alist to rename all bound variables and some unknowns in a term |
|
1044 |
dpairs = current disagreement pairs; tpairs = permanent ones (flexflex); |
|
1045 |
Preserves unknowns in tpairs and on lhs of dpairs. *) |
|
1046 |
fun rename_bvs([],_,_,_) = I |
|
1047 |
| rename_bvs(al,dpairs,tpairs,B) = |
|
250 | 1048 |
let val vars = foldr add_term_vars |
1049 |
(map fst dpairs @ map fst tpairs @ map snd tpairs, []) |
|
1050 |
(*unknowns appearing elsewhere be preserved!*) |
|
1051 |
val vids = map (#1 o #1 o dest_Var) vars; |
|
1052 |
fun rename(t as Var((x,i),T)) = |
|
1053 |
(case assoc(al,x) of |
|
1054 |
Some(y) => if x mem vids orelse y mem vids then t |
|
1055 |
else Var((y,i),T) |
|
1056 |
| None=> t) |
|
0 | 1057 |
| rename(Abs(x,T,t)) = |
250 | 1058 |
Abs(case assoc(al,x) of Some(y) => y | None => x, |
1059 |
T, rename t) |
|
0 | 1060 |
| rename(f$t) = rename f $ rename t |
1061 |
| rename(t) = t; |
|
250 | 1062 |
fun strip_ren Ai = strip_apply rename (Ai,B) |
0 | 1063 |
in strip_ren end; |
1064 |
||
1065 |
(*Function to rename bounds/unknowns in the argument, lifted over B*) |
|
1066 |
fun rename_bvars(dpairs, tpairs, B) = |
|
250 | 1067 |
rename_bvs(foldr match_bvars (dpairs,[]), dpairs, tpairs, B); |
0 | 1068 |
|
1069 |
||
1070 |
(*** RESOLUTION ***) |
|
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 | 1074 |
(*strip off pairs of assumptions/parameters in parallel -- they are |
1075 |
identical because of lifting*) |
|
250 | 1076 |
fun strip_assums2 (Const("==>", _) $ _ $ B1, |
1077 |
Const("==>", _) $ _ $ B2) = strip_assums2 (B1,B2) |
|
0 | 1078 |
| strip_assums2 (Const("all",_)$Abs(a,T,t1), |
250 | 1079 |
Const("all",_)$Abs(_,_,t2)) = |
0 | 1080 |
let val (B1,B2) = strip_assums2 (t1,t2) |
1081 |
in (Abs(a,T,B1), Abs(a,T,B2)) end |
|
1082 |
| strip_assums2 BB = BB; |
|
1083 |
||
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 | 1089 |
val T' = typ_subst_TVars iTs T |
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 | 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 | 1098 |
(*Composition of object rule r=(A1...Am/B) with proof state s=(B1...Bn/C) |
250 | 1099 |
Unifies B with Bi, replacing subgoal i (1 <= i <= n) |
0 | 1100 |
If match then forbid instantiations in proof state |
1101 |
If lifted then shorten the dpair using strip_assums2. |
|
1102 |
If eres_flg then simultaneously proves A1 by assumption. |
|
250 | 1103 |
nsubgoal is the number of new subgoals (written m above). |
0 | 1104 |
Curried so that resolution calls dest_state only once. |
1105 |
*) |
|
1106 |
local open Sequence; exception Bicompose |
|
1107 |
in |
|
250 | 1108 |
fun bicompose_aux match (state, (stpairs, Bs, Bi, C), lifted) |
0 | 1109 |
(eres_flg, orule, nsubgoal) = |
1258 | 1110 |
let val Thm{maxidx=smax, shyps=sshyps, hyps=shyps, ...} = state |
1111 |
and Thm{maxidx=rmax, shyps=rshyps, hyps=rhyps, prop=rprop,...} = orule |
|
1238 | 1112 |
(*How many hyps to skip over during normalization*) |
1113 |
and nlift = Logic.count_prems(strip_all_body Bi, |
|
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 | 1116 |
(** Add new theorem with prop = '[| Bs; As |] ==> C' to thq **) |
250 | 1117 |
fun addth As ((env as Envir.Envir {maxidx, ...}, tpairs), thq) = |
1118 |
let val normt = Envir.norm_term env; |
|
1119 |
(*perform minimal copying here by examining env*) |
|
1120 |
val normp = |
|
1121 |
if Envir.is_empty env then (tpairs, Bs @ As, C) |
|
1122 |
else |
|
1123 |
let val ntps = map (pairself normt) tpairs |
|
1238 | 1124 |
in if the (Envir.minidx env) > smax then |
1125 |
(*no assignments in state; normalize the rule only*) |
|
1126 |
if lifted |
|
1127 |
then (ntps, Bs @ map (norm_term_skip env nlift) As, C) |
|
1128 |
else (ntps, Bs @ map normt As, C) |
|
250 | 1129 |
else if match then raise Bicompose |
1130 |
else (*normalize the new rule fully*) |
|
1131 |
(ntps, map normt (Bs @ As), normt C) |
|
1132 |
end |
|
1258 | 1133 |
val th = (*tuned fix_shyps*) |
1134 |
Thm{sign=sign, |
|
1135 |
shyps=add_env_sorts (env, rshyps union sshyps), |
|
1136 |
hyps=rhyps union shyps, |
|
1137 |
maxidx=maxidx, prop= Logic.rule_of normp} |
|
0 | 1138 |
in cons(th, thq) end handle Bicompose => thq |
1139 |
val (rtpairs,rhorn) = Logic.strip_flexpairs(rprop); |
|
1140 |
val (rAs,B) = Logic.strip_prems(nsubgoal, [], rhorn) |
|
1141 |
handle TERM _ => raise THM("bicompose: rule", 0, [orule,state]); |
|
1142 |
(*Modify assumptions, deleting n-th if n>0 for e-resolution*) |
|
1143 |
fun newAs(As0, n, dpairs, tpairs) = |
|
1144 |
let val As1 = if !Logic.auto_rename orelse not lifted then As0 |
|
250 | 1145 |
else map (rename_bvars(dpairs,tpairs,B)) As0 |
0 | 1146 |
in (map (Logic.flatten_params n) As1) |
250 | 1147 |
handle TERM _ => |
1148 |
raise THM("bicompose: 1st premise", 0, [orule]) |
|
0 | 1149 |
end; |
1150 |
val env = Envir.empty(max[rmax,smax]); |
|
1151 |
val BBi = if lifted then strip_assums2(B,Bi) else (B,Bi); |
|
1152 |
val dpairs = BBi :: (rtpairs@stpairs); |
|
1153 |
(*elim-resolution: try each assumption in turn. Initially n=1*) |
|
1154 |
fun tryasms (_, _, []) = null |
|
1155 |
| tryasms (As, n, (t,u)::apairs) = |
|
250 | 1156 |
(case pull(Unify.unifiers(sign, env, (t,u)::dpairs)) of |
1157 |
None => tryasms (As, n+1, apairs) |
|
1158 |
| cell as Some((_,tpairs),_) => |
|
1159 |
its_right (addth (newAs(As, n, [BBi,(u,t)], tpairs))) |
|
1160 |
(seqof (fn()=> cell), |
|
1161 |
seqof (fn()=> pull (tryasms (As, n+1, apairs))))); |
|
0 | 1162 |
fun eres [] = raise THM("bicompose: no premises", 0, [orule,state]) |
1163 |
| eres (A1::As) = tryasms (As, 1, Logic.assum_pairs A1); |
|
1164 |
(*ordinary resolution*) |
|
1165 |
fun res(None) = null |
|
250 | 1166 |
| res(cell as Some((_,tpairs),_)) = |
1167 |
its_right (addth(newAs(rev rAs, 0, [BBi], tpairs))) |
|
1168 |
(seqof (fn()=> cell), null) |
|
0 | 1169 |
in if eres_flg then eres(rev rAs) |
1170 |
else res(pull(Unify.unifiers(sign, env, dpairs))) |
|
1171 |
end; |
|
1172 |
end; (*open Sequence*) |
|
1173 |
||
1174 |
||
1175 |
fun bicompose match arg i state = |
|
1176 |
bicompose_aux match (state, dest_state(state,i), false) arg; |
|
1177 |
||
1178 |
(*Quick test whether rule is resolvable with the subgoal with hyps Hs |
|
1179 |
and conclusion B. If eres_flg then checks 1st premise of rule also*) |
|
1180 |
fun could_bires (Hs, B, eres_flg, rule) = |
|
1181 |
let fun could_reshyp (A1::_) = exists (apl(A1,could_unify)) Hs |
|
250 | 1182 |
| could_reshyp [] = false; (*no premise -- illegal*) |
1183 |
in could_unify(concl_of rule, B) andalso |
|
1184 |
(not eres_flg orelse could_reshyp (prems_of rule)) |
|
0 | 1185 |
end; |
1186 |
||
1187 |
(*Bi-resolution of a state with a list of (flag,rule) pairs. |
|
1188 |
Puts the rule above: rule/state. Renames vars in the rules. *) |
|
250 | 1189 |
fun biresolution match brules i state = |
0 | 1190 |
let val lift = lift_rule(state, i); |
250 | 1191 |
val (stpairs, Bs, Bi, C) = dest_state(state,i) |
1192 |
val B = Logic.strip_assums_concl Bi; |
|
1193 |
val Hs = Logic.strip_assums_hyp Bi; |
|
1194 |
val comp = bicompose_aux match (state, (stpairs, Bs, Bi, C), true); |
|
1195 |
fun res [] = Sequence.null |
|
1196 |
| res ((eres_flg, rule)::brules) = |
|
1197 |
if could_bires (Hs, B, eres_flg, rule) |
|
1160 | 1198 |
then Sequence.seqof (*delay processing remainder till needed*) |
250 | 1199 |
(fn()=> Some(comp (eres_flg, lift rule, nprems_of rule), |
1200 |
res brules)) |
|
1201 |
else res brules |
|
0 | 1202 |
in Sequence.flats (res brules) end; |
1203 |
||
1204 |
||
1205 |
||
1206 |
(*** Meta simp sets ***) |
|
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 | 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 | 1212 |
prems: thm list, mk_rews: thm -> thm list}; |
1213 |
||
1214 |
(*A "mss" contains data needed during conversion: |
|
1215 |
net: discrimination net of rewrite rules |
|
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 | 1219 |
mk_rews: used when local assumptions are added |
1220 |
*) |
|
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 | 1223 |
mk_rews = K[]}; |
1224 |
||
1225 |
exception SIMPLIFIER of string * thm; |
|
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 | 1228 |
|
209 | 1229 |
val trace_simp = ref false; |
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 | 1232 |
|
1233 |
fun trace_thm a (Thm{sign,prop,...}) = trace_term a sign prop; |
|
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 | 1243 |
(*simple test for looping rewrite*) |
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 | 1251 |
(* the condition "null(prems)" in the last case is necessary because |
1252 |
conditional rewrites with extra variables in the conditions may terminate |
|
1253 |
although the rhs is an instance of the lhs. Example: |
|
1254 |
?m < ?n ==> f(?n) == f(?m) |
|
1255 |
*) |
|
0 | 1256 |
|
1238 | 1257 |
fun mk_rrule raw_thm = |
1258 |
let |
|
1258 | 1259 |
val thm = strip_shyps raw_thm; |
1238 | 1260 |
val Thm{sign,prop,maxidx,...} = thm; |
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 | 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 | 1269 |
in |
1258 | 1270 |
if not perm andalso loops sign prems (elhs,erhs) then |
1220 | 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 | 1273 |
end; |
1274 |
||
87 | 1275 |
local |
1276 |
fun eq({thm=Thm{prop=p1,...},...}:rrule, |
|
1277 |
{thm=Thm{prop=p2,...},...}:rrule) = p1 aconv p2 |
|
1278 |
in |
|
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 | 1281 |
thm as Thm{sign,prop,...}) = |
87 | 1282 |
case mk_rrule thm of |
1283 |
None => mss |
|
1284 |
| Some(rrule as {lhs,...}) => |
|
209 | 1285 |
(trace_thm "Adding rewrite rule:" thm; |
1286 |
Mss{net= (Net.insert_term((lhs,rrule),net,eq) |
|
1287 |
handle Net.INSERT => |
|
87 | 1288 |
(prtm "Warning: ignoring duplicate rewrite rule" sign prop; |
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 | 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 | 1293 |
thm as Thm{sign,prop,...}) = |
1294 |
case mk_rrule thm of |
|
1295 |
None => mss |
|
1296 |
| Some(rrule as {lhs,...}) => |
|
1297 |
Mss{net= (Net.delete_term((lhs,rrule),net,eq) |
|
1298 |
handle Net.INSERT => |
|
1299 |
(prtm "Warning: rewrite rule not in simpset" sign prop; |
|
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 | 1302 |
|
1303 |
end; |
|
0 | 1304 |
|
1305 |
val add_simps = foldl add_simp; |
|
87 | 1306 |
val del_simps = foldl del_simp; |
0 | 1307 |
|
1308 |
fun mss_of thms = add_simps(empty_mss,thms); |
|
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 | 1311 |
let val (lhs,_) = Logic.dest_equals(concl_of thm) handle TERM _ => |
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 | 1314 |
val (a,_) = dest_Const (head_of lhs) handle TERM _ => |
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 | 1317 |
prems=prems, mk_rews=mk_rews} |
1318 |
end; |
|
1319 |
||
1320 |
val (op add_congs) = foldl add_cong; |
|
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 | 1324 |
|
1325 |
fun prems_of_mss(Mss{prems,...}) = prems; |
|
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 | 1329 |
fun mk_rews_of_mss(Mss{mk_rews,...}) = mk_rews; |
1330 |
||
1331 |
||
250 | 1332 |
(*** Meta-level rewriting |
0 | 1333 |
uses conversions, omitting proofs for efficiency. See |
250 | 1334 |
L C Paulson, A higher-order implementation of rewriting, |
1335 |
Science of Computer Programming 3 (1983), pages 119-149. ***) |
|
0 | 1336 |
|
1337 |
type prover = meta_simpset -> thm -> thm option; |
|
1338 |
type termrec = (Sign.sg * term list) * term; |
|
1339 |
type conv = meta_simpset -> termrec -> termrec; |
|
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
diff
changeset
|
1384 |
fun termless tu = (termord tu = LESS); |
288
b00ce6a1fe27
Implemented "ordered rewriting": rules which merely permute variables, such
nipkow
parents:
274
diff
changeset
|
1385 |
|
1258 | 1386 |
fun check_conv(thm as Thm{shyps,hyps,prop,sign,maxidx,...}, prop0) = |
432 | 1387 |
let fun err() = (trace_thm "Proved wrong thm (Check subgoaler?)" thm; |
1388 |
trace_term "Should have proved" sign prop0; |
|
1389 |
None) |
|
0 | 1390 |
val (lhs0,_) = Logic.dest_equals(Logic.strip_imp_concl prop0) |
1391 |
in case prop of |
|
1392 |
Const("==",_) $ lhs $ rhs => |
|
1393 |
if (lhs = lhs0) orelse |
|
427
4ce2ce940faf
ordered rewriting applies to conditional rules as well now
nipkow
parents:
421
diff
changeset
|
1394 |
(lhs aconv Envir.norm_term (Envir.empty 0) lhs0) |
1258 | 1395 |
then (trace_thm "SUCCEEDED" thm; Some(shyps,hyps,maxidx,rhs)) |
0 | 1396 |
else err() |
1397 |
| _ => err() |
|
1398 |
end; |
|
1399 |
||
659
95ed2ccb4438
Prepared the code for preservation of bound var names during rewriting. Still
nipkow
parents:
623
diff
changeset
|
1400 |
fun ren_inst(insts,prop,pat,obj) = |
95ed2ccb4438
Prepared the code for preservation of bound var names during rewriting. Still
nipkow
parents:
623
diff
changeset
|
1401 |
let val ren = match_bvs(pat,obj,[]) |
95ed2ccb4438
Prepared the code for preservation of bound var names during rewriting. Still
nipkow
parents:
623
diff
changeset
|
1402 |
fun renAbs(Abs(x,T,b)) = |
95ed2ccb4438
Prepared the code for preservation of bound var names during rewriting. Still
nipkow
parents:
623
diff
changeset
|
1403 |
Abs(case assoc(ren,x) of None => x | Some(y) => y, T, renAbs(b)) |
95ed2ccb4438
Prepared the code for preservation of bound var names during rewriting. Still
nipkow
parents:
623
diff
changeset
|
1404 |
| renAbs(f$t) = renAbs(f) $ renAbs(t) |
95ed2ccb4438
Prepared the code for preservation of bound var names during rewriting. Still
nipkow
parents:
623
diff
changeset
|
1405 |
| renAbs(t) = t |
95ed2ccb4438
Prepared the code for preservation of bound var names during rewriting. Still
nipkow
parents:
623
diff
changeset
|
1406 |
in subst_vars insts (if null(ren) then prop else renAbs(prop)) end; |
678
6151b7f3b606
Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents:
659
diff
changeset
|
1407 |
|
1258 | 1408 |
fun add_insts_sorts ((iTs, is), Ss) = |
1409 |
add_typs_sorts (map snd iTs, add_terms_sorts (map snd is, Ss)); |
|
1410 |
||
659
95ed2ccb4438
Prepared the code for preservation of bound var names during rewriting. Still
nipkow
parents:
623
diff
changeset
|
1411 |
|
0 | 1412 |
(*Conversion to apply the meta simpset to a term*) |
1258 | 1413 |
fun rewritec (prover,signt) (mss as Mss{net,...}) (shypst,hypst,maxidxt,t) = |
678
6151b7f3b606
Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents:
659
diff
changeset
|
1414 |
let val etat = Pattern.eta_contract t; |
1258 | 1415 |
fun rew {thm as Thm{sign,shyps,hyps,maxidx,prop,...}, lhs, perm} = |
250 | 1416 |
let val unit = if Sign.subsig(sign,signt) then () |
446
3ee5c9314efe
rewritec now uses trace_thm for it's "rewrite rule from different theory"
clasohm
parents:
432
diff
changeset
|
1417 |
else (trace_thm"Warning: rewrite rule from different theory" |
3ee5c9314efe
rewritec now uses trace_thm for it's "rewrite rule from different theory"
clasohm
parents:
432
diff
changeset
|
1418 |
thm; |
208
342f88d2e8ab
optimized simplifier - signature of rewritten term stays constant
nipkow
parents:
200
diff
changeset
|
1419 |
raise Pattern.MATCH) |
1065
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1420 |
val rprop = if maxidxt = ~1 then prop |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1421 |
else Logic.incr_indexes([],maxidxt+1) prop; |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1422 |
val rlhs = if maxidxt = ~1 then lhs |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1423 |
else fst(Logic.dest_equals(Logic.strip_imp_concl rprop)) |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1424 |
val insts = Pattern.match (#tsig(Sign.rep_sg signt)) (rlhs,etat) |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1425 |
val prop' = ren_inst(insts,rprop,rlhs,t); |
0 | 1426 |
val hyps' = hyps union hypst; |
1258 | 1427 |
val shyps' = add_insts_sorts (insts, shyps union shypst); |
1065
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1428 |
val maxidx' = maxidx_of_term prop' |
1258 | 1429 |
val thm' = Thm{sign=signt, shyps=shyps', hyps=hyps', |
1430 |
prop=prop', maxidx=maxidx'} |
|
427
4ce2ce940faf
ordered rewriting applies to conditional rules as well now
nipkow
parents:
421
diff
changeset
|
1431 |
val (lhs',rhs') = Logic.dest_equals(Logic.strip_imp_concl prop') |
4ce2ce940faf
ordered rewriting applies to conditional rules as well now
nipkow
parents:
421
diff
changeset
|
1432 |
in if perm andalso not(termless(rhs',lhs')) then None else |
4ce2ce940faf
ordered rewriting applies to conditional rules as well now
nipkow
parents:
421
diff
changeset
|
1433 |
if Logic.count_prems(prop',0) = 0 |
1258 | 1434 |
then (trace_thm "Rewriting:" thm'; Some(shyps',hyps',maxidx',rhs')) |
0 | 1435 |
else (trace_thm "Trying to rewrite:" thm'; |
1436 |
case prover mss thm' of |
|
1437 |
None => (trace_thm "FAILED" thm'; None) |
|
112
009ae5c85ae9
Changed the simplifier: if the subgoaler proves an unexpected thm, chances
nipkow
parents:
87
diff
changeset
|
1438 |
| Some(thm2) => check_conv(thm2,prop')) |
0 | 1439 |
end |
1440 |
||
225
76f60e6400e8
optimized net for matching of abstractions to speed up simplifier
nipkow
parents:
222
diff
changeset
|
1441 |
fun rews [] = None |
76f60e6400e8
optimized net for matching of abstractions to speed up simplifier
nipkow
parents:
222
diff
changeset
|
1442 |
| rews (rrule::rrules) = |
76f60e6400e8
optimized net for matching of abstractions to speed up simplifier
nipkow
parents:
222
diff
changeset
|
1443 |
let val opt = rew rrule handle Pattern.MATCH => None |
76f60e6400e8
optimized net for matching of abstractions to speed up simplifier
nipkow
parents:
222
diff
changeset
|
1444 |
in case opt of None => rews rrules | some => some end; |
0 | 1445 |
|
678
6151b7f3b606
Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents:
659
diff
changeset
|
1446 |
in case etat of |
1258 | 1447 |
Abs(_,_,body) $ u => Some(shypst, hypst, maxidxt, subst_bounds([u], body)) |
678
6151b7f3b606
Modified pattern.ML to perform proper matching of Higher-Order Patterns.
nipkow
parents:
659
diff
changeset
|
1448 |
| _ => rews(Net.match_term net etat) |
0 | 1449 |
end; |
1450 |
||
1451 |
(*Conversion to apply a congruence rule to a term*) |
|
1258 | 1452 |
fun congc (prover,signt) {thm=cong,lhs=lhs} (shypst,hypst,maxidxt,t) = |
1453 |
let val Thm{sign,shyps,hyps,maxidx,prop,...} = cong |
|
208
342f88d2e8ab
optimized simplifier - signature of rewritten term stays constant
nipkow
parents:
200
diff
changeset
|
1454 |
val unit = if Sign.subsig(sign,signt) then () |
342f88d2e8ab
optimized simplifier - signature of rewritten term stays constant
nipkow
parents:
200
diff
changeset
|
1455 |
else error("Congruence rule from different theory") |
342f88d2e8ab
optimized simplifier - signature of rewritten term stays constant
nipkow
parents:
200
diff
changeset
|
1456 |
val tsig = #tsig(Sign.rep_sg signt) |
1065
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1457 |
val rprop = if maxidxt = ~1 then prop |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1458 |
else Logic.incr_indexes([],maxidxt+1) prop; |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1459 |
val rlhs = if maxidxt = ~1 then lhs |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1460 |
else fst(Logic.dest_equals(Logic.strip_imp_concl rprop)) |
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1461 |
val insts = Pattern.match tsig (rlhs,t) handle Pattern.MATCH => |
0 | 1462 |
error("Congruence rule did not match") |
1065
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1463 |
val prop' = ren_inst(insts,rprop,rlhs,t); |
1258 | 1464 |
val shyps' = add_insts_sorts (insts, shyps union shypst); |
1465 |
val thm' = Thm{sign=signt, shyps=shyps', hyps=hyps union hypst, |
|
1466 |
prop=prop', maxidx=maxidx_of_term prop'}; |
|
0 | 1467 |
val unit = trace_thm "Applying congruence rule" thm'; |
112
009ae5c85ae9
Changed the simplifier: if the subgoaler proves an unexpected thm, chances
nipkow
parents:
87
diff
changeset
|
1468 |
fun err() = error("Failed congruence proof!") |
0 | 1469 |
|
1470 |
in case prover thm' of |
|
112
009ae5c85ae9
Changed the simplifier: if the subgoaler proves an unexpected thm, chances
nipkow
parents:
87
diff
changeset
|
1471 |
None => err() |
009ae5c85ae9
Changed the simplifier: if the subgoaler proves an unexpected thm, chances
nipkow
parents:
87
diff
changeset
|
1472 |
| Some(thm2) => (case check_conv(thm2,prop') of |
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1473 |
None => err() | some => some) |
0 | 1474 |
end; |
1475 |
||
1476 |
||
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1477 |
|
214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
209
diff
changeset
|
1478 |
fun bottomc ((simprem,useprem),prover,sign) = |
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1479 |
let fun botc fail mss trec = |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1480 |
(case subc mss trec of |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1481 |
some as Some(trec1) => |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1482 |
(case rewritec (prover,sign) mss trec1 of |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1483 |
Some(trec2) => botc false mss trec2 |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1484 |
| None => some) |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1485 |
| None => |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1486 |
(case rewritec (prover,sign) mss trec of |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1487 |
Some(trec2) => botc false mss trec2 |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1488 |
| None => if fail then None else Some(trec))) |
0 | 1489 |
|
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1490 |
and try_botc mss trec = (case botc true mss trec of |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1491 |
Some(trec1) => trec1 |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1492 |
| None => trec) |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1493 |
|
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1494 |
and subc (mss as Mss{net,congs,bounds,prems,mk_rews}) |
1258 | 1495 |
(trec as (shyps,hyps,maxidx,t)) = |
0 | 1496 |
(case t of |
1497 |
Abs(a,T,t) => |
|
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1498 |
let val b = variant bounds a |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1499 |
val v = Free("." ^ b,T) |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1500 |
val mss' = Mss{net=net, congs=congs, bounds=b::bounds, |
0 | 1501 |
prems=prems,mk_rews=mk_rews} |
1258 | 1502 |
in case botc true mss' (shyps,hyps,maxidx,subst_bounds([v],t)) of |
1503 |
Some(shyps',hyps',maxidx',t') => |
|
1504 |
Some(shyps', hyps', maxidx', Abs(a, T, abstract_over(v,t'))) |
|
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1505 |
| None => None |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1506 |
end |
0 | 1507 |
| t$u => (case t of |
1258 | 1508 |
Const("==>",_)$s => Some(impc(shyps,hyps,maxidx,s,u,mss)) |
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1509 |
| Abs(_,_,body) => |
1258 | 1510 |
let val trec = (shyps,hyps,maxidx,subst_bounds([u], body)) |
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1511 |
in case subc mss trec of |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1512 |
None => Some(trec) |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1513 |
| trec => trec |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1514 |
end |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1515 |
| _ => |
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1516 |
let fun appc() = |
1258 | 1517 |
(case botc true mss (shyps,hyps,maxidx,t) of |
1518 |
Some(shyps1,hyps1,maxidx1,t1) => |
|
1519 |
(case botc true mss (shyps1,hyps1,maxidx,u) of |
|
1520 |
Some(shyps2,hyps2,maxidx2,u1) => |
|
1521 |
Some(shyps2,hyps2,max[maxidx1,maxidx2],t1$u1) |
|
1065
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1522 |
| None => |
1258 | 1523 |
Some(shyps1,hyps1,max[maxidx1,maxidx],t1$u)) |
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1524 |
| None => |
1258 | 1525 |
(case botc true mss (shyps,hyps,maxidx,u) of |
1526 |
Some(shyps1,hyps1,maxidx1,u1) => |
|
1527 |
Some(shyps1,hyps1,max[maxidx,maxidx1],t$u1) |
|
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1528 |
| None => None)) |
0 | 1529 |
val (h,ts) = strip_comb t |
1530 |
in case h of |
|
1531 |
Const(a,_) => |
|
1532 |
(case assoc(congs,a) of |
|
1533 |
None => appc() |
|
208
342f88d2e8ab
optimized simplifier - signature of rewritten term stays constant
nipkow
parents:
200
diff
changeset
|
1534 |
| Some(cong) => congc (prover mss,sign) cong trec) |
0 | 1535 |
| _ => appc() |
1536 |
end) |
|
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1537 |
| _ => None) |
0 | 1538 |
|
1258 | 1539 |
and impc(shyps,hyps,maxidx,s,u,mss as Mss{mk_rews,...}) = |
1540 |
let val (shyps1,hyps1,_,s1) = |
|
1541 |
if simprem then try_botc mss (shyps,hyps,maxidx,s) |
|
1542 |
else (shyps,hyps,0,s); |
|
1065
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1543 |
val maxidx1 = maxidx_of_term s1 |
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1544 |
val mss1 = |
1065
8425cb5acb77
Fixed old bug in the simplifier. Term to be simplified now carries around its
nipkow
parents:
1028
diff
changeset
|
1545 |
if not useprem orelse maxidx1 <> ~1 then mss |
1258 | 1546 |
else let val thm = |
1547 |
Thm{sign=sign,shyps=add_term_sorts(s1,[]), |
|
1548 |
hyps=[s1],prop=s1,maxidx= ~1} |
|
214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
209
diff
changeset
|
1549 |
in add_simps(add_prems(mss,[thm]), mk_rews thm) end |
1258 | 1550 |
val (shyps2,hyps2,maxidx2,u1) = try_botc mss1 (shyps1,hyps1,maxidx,u) |
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1551 |
val hyps3 = if s1 mem hyps1 then hyps2 else hyps2\s1 |
1258 | 1552 |
in (shyps2, hyps3, max[maxidx1,maxidx2], Logic.mk_implies(s1,u1)) end |
0 | 1553 |
|
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1554 |
in try_botc end; |
0 | 1555 |
|
1556 |
||
1557 |
(*** Meta-rewriting: rewrites t to u and returns the theorem t==u ***) |
|
1558 |
(* Parameters: |
|
250 | 1559 |
mode = (simplify A, use A in simplifying B) when simplifying A ==> B |
0 | 1560 |
mss: contains equality theorems of the form [|p1,...|] ==> t==u |
1561 |
prover: how to solve premises in conditional rewrites and congruences |
|
1562 |
*) |
|
405
c97514f63633
Internale optimization of the simplifier: in case a subterm stays unchanged,
nipkow
parents:
399
diff
changeset
|
1563 |
(*** FIXME: check that #bounds(mss) does not "occur" in ct alread ***) |
214
ed6a3e2b1a33
added new parameter to the simplification tactics which indicates if
nipkow
parents:
209
diff
changeset
|
1564 |
fun rewrite_cterm mode mss prover ct = |
229
4002c4cd450c
Pure: MAJOR CHANGE. Moved ML types ctyp and cterm and their associated
lcp
parents:
225
diff
changeset
|
1565 |
let val {sign, t, T, maxidx} = rep_cterm ct; |
1258 | 1566 |
val (shyps,hyps,maxidxu,u) = |
1567 |
bottomc (mode,prover,sign) mss (add_term_sorts(t,[]),[],maxidx,t); |
|
0 | 1568 |
val prop = Logic.mk_equals(t,u) |
1258 | 1569 |
in |
1570 |
Thm{sign= sign, shyps= shyps, hyps= hyps, maxidx= max[maxidx,maxidxu], |
|
1571 |
prop= prop} |
|
0 | 1572 |
end |
1573 |
||
1574 |
end; |