author | wenzelm |
Thu, 18 Sep 2008 19:39:44 +0200 | |
changeset 28290 | 4cc2b6046258 |
parent 26674 | fe93963ed76d |
child 29269 | 5c25a2012975 |
permissions | -rw-r--r-- |
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(* Title: Tools/Compute_Oracle/compute.ML |
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ID: $Id$ |
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Author: Steven Obua |
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*) |
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signature COMPUTE = sig |
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type computer |
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type theorem |
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type naming = int -> string |
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datatype machine = BARRAS | BARRAS_COMPILED | HASKELL | SML |
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(* Functions designated with a ! in front of them actually update the computer parameter *) |
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exception Make of string |
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val make : machine -> theory -> thm list -> computer |
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val make_with_cache : machine -> theory -> term list -> thm list -> computer |
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val theory_of : computer -> theory |
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val hyps_of : computer -> term list |
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val shyps_of : computer -> sort list |
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(* ! *) val update : computer -> thm list -> unit |
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(* ! *) val update_with_cache : computer -> term list -> thm list -> unit |
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(* ! *) val discard : computer -> unit |
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(* ! *) val set_naming : computer -> naming -> unit |
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val naming_of : computer -> naming |
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exception Compute of string |
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val simplify : computer -> theorem -> thm |
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val rewrite : computer -> cterm -> thm |
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val make_theorem : computer -> thm -> string list -> theorem |
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(* ! *) val instantiate : computer -> (string * cterm) list -> theorem -> theorem |
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(* ! *) val evaluate_prem : computer -> int -> theorem -> theorem |
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(* ! *) val modus_ponens : computer -> int -> thm -> theorem -> theorem |
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end |
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structure Compute :> COMPUTE = struct |
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open Report; |
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datatype machine = BARRAS | BARRAS_COMPILED | HASKELL | SML |
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(* Terms are mapped to integer codes *) |
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structure Encode :> |
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sig |
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type encoding |
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val empty : encoding |
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val insert : term -> encoding -> int * encoding |
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val lookup_code : term -> encoding -> int option |
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val lookup_term : int -> encoding -> term option |
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val remove_code : int -> encoding -> encoding |
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val remove_term : term -> encoding -> encoding |
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val fold : ((term * int) -> 'a -> 'a) -> encoding -> 'a -> 'a |
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end |
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= |
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struct |
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type encoding = int * (int Termtab.table) * (term Inttab.table) |
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val empty = (0, Termtab.empty, Inttab.empty) |
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fun insert t (e as (count, term2int, int2term)) = |
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(case Termtab.lookup term2int t of |
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NONE => (count, (count+1, Termtab.update_new (t, count) term2int, Inttab.update_new (count, t) int2term)) |
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| SOME code => (code, e)) |
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fun lookup_code t (_, term2int, _) = Termtab.lookup term2int t |
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fun lookup_term c (_, _, int2term) = Inttab.lookup int2term c |
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fun remove_code c (e as (count, term2int, int2term)) = |
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(case lookup_term c e of NONE => e | SOME t => (count, Termtab.delete t term2int, Inttab.delete c int2term)) |
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fun remove_term t (e as (count, term2int, int2term)) = |
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(case lookup_code t e of NONE => e | SOME c => (count, Termtab.delete t term2int, Inttab.delete c int2term)) |
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fun fold f (_, term2int, _) = Termtab.fold f term2int |
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end |
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exception Make of string; |
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exception Compute of string; |
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local |
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fun make_constant t ty encoding = |
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let |
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val (code, encoding) = Encode.insert t encoding |
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in |
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(encoding, AbstractMachine.Const code) |
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end |
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in |
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fun remove_types encoding t = |
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case t of |
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Var (_, ty) => make_constant t ty encoding |
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| Free (_, ty) => make_constant t ty encoding |
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| Const (_, ty) => make_constant t ty encoding |
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| Abs (_, ty, t') => |
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let val (encoding, t'') = remove_types encoding t' in |
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(encoding, AbstractMachine.Abs t'') |
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end |
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| a $ b => |
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let |
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val (encoding, a) = remove_types encoding a |
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val (encoding, b) = remove_types encoding b |
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in |
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(encoding, AbstractMachine.App (a,b)) |
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end |
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| Bound b => (encoding, AbstractMachine.Var b) |
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end |
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local |
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fun type_of (Free (_, ty)) = ty |
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| type_of (Const (_, ty)) = ty |
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| type_of (Var (_, ty)) = ty |
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| type_of _ = sys_error "infer_types: type_of error" |
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in |
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fun infer_types naming encoding = |
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let |
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fun infer_types _ bounds _ (AbstractMachine.Var v) = (Bound v, List.nth (bounds, v)) |
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| infer_types _ bounds _ (AbstractMachine.Const code) = |
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let |
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val c = the (Encode.lookup_term code encoding) |
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in |
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(c, type_of c) |
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end |
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| infer_types level bounds _ (AbstractMachine.App (a, b)) = |
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let |
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val (a, aty) = infer_types level bounds NONE a |
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val (adom, arange) = |
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case aty of |
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Type ("fun", [dom, range]) => (dom, range) |
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| _ => sys_error "infer_types: function type expected" |
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val (b, bty) = infer_types level bounds (SOME adom) b |
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in |
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(a $ b, arange) |
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end |
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| infer_types level bounds (SOME (ty as Type ("fun", [dom, range]))) (AbstractMachine.Abs m) = |
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let |
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val (m, _) = infer_types (level+1) (dom::bounds) (SOME range) m |
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in |
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(Abs (naming level, dom, m), ty) |
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end |
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| infer_types _ _ NONE (AbstractMachine.Abs m) = sys_error "infer_types: cannot infer type of abstraction" |
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fun infer ty term = |
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let |
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val (term', _) = infer_types 0 [] (SOME ty) term |
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in |
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term' |
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end |
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in |
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infer |
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end |
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end |
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datatype prog = |
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ProgBarras of AM_Interpreter.program |
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| ProgBarrasC of AM_Compiler.program |
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| ProgHaskell of AM_GHC.program |
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| ProgSML of AM_SML.program |
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fun machine_of_prog (ProgBarras _) = BARRAS |
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| machine_of_prog (ProgBarrasC _) = BARRAS_COMPILED |
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| machine_of_prog (ProgHaskell _) = HASKELL |
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| machine_of_prog (ProgSML _) = SML |
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structure Sorttab = TableFun(type key = sort val ord = Term.sort_ord) |
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type naming = int -> string |
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fun default_naming i = "v_" ^ Int.toString i |
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datatype computer = Computer of (theory_ref * Encode.encoding * term list * unit Sorttab.table * prog * unit ref * naming) |
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option ref |
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fun theory_of (Computer (ref (SOME (rthy,_,_,_,_,_,_)))) = Theory.deref rthy |
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fun hyps_of (Computer (ref (SOME (_,_,hyps,_,_,_,_)))) = hyps |
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fun shyps_of (Computer (ref (SOME (_,_,_,shyptable,_,_,_)))) = Sorttab.keys (shyptable) |
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fun shyptab_of (Computer (ref (SOME (_,_,_,shyptable,_,_,_)))) = shyptable |
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fun stamp_of (Computer (ref (SOME (_,_,_,_,_,stamp,_)))) = stamp |
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fun prog_of (Computer (ref (SOME (_,_,_,_,prog,_,_)))) = prog |
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fun encoding_of (Computer (ref (SOME (_,encoding,_,_,_,_,_)))) = encoding |
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fun set_encoding (Computer (r as ref (SOME (p1,encoding,p2,p3,p4,p5,p6)))) encoding' = |
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(r := SOME (p1,encoding',p2,p3,p4,p5,p6)) |
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fun naming_of (Computer (ref (SOME (_,_,_,_,_,_,n)))) = n |
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fun set_naming (Computer (r as ref (SOME (p1,p2,p3,p4,p5,p6,naming)))) naming'= |
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(r := SOME (p1,p2,p3,p4,p5,p6,naming')) |
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fun ref_of (Computer r) = r |
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datatype cthm = ComputeThm of term list * sort list * term |
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fun thm2cthm th = |
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val {hyps, prop, tpairs, shyps, ...} = Thm.rep_thm th |
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val _ = if not (null tpairs) then raise Make "theorems may not contain tpairs" else () |
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in |
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ComputeThm (hyps, shyps, prop) |
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end |
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fun make_internal machine thy stamp encoding cache_pattern_terms raw_ths = |
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let |
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fun transfer (x:thm) = Thm.transfer thy x |
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val ths = map (thm2cthm o Thm.strip_shyps o transfer) raw_ths |
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fun make_pattern encoding n vars (var as AbstractMachine.Abs _) = |
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raise (Make "no lambda abstractions allowed in pattern") |
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| make_pattern encoding n vars (var as AbstractMachine.Var _) = |
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raise (Make "no bound variables allowed in pattern") |
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| make_pattern encoding n vars (AbstractMachine.Const code) = |
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(case the (Encode.lookup_term code encoding) of |
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Var _ => ((n+1, Inttab.update_new (code, n) vars, AbstractMachine.PVar) |
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handle Inttab.DUP _ => raise (Make "no duplicate variable in pattern allowed")) |
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| _ => (n, vars, AbstractMachine.PConst (code, []))) |
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| make_pattern encoding n vars (AbstractMachine.App (a, b)) = |
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let |
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val (n, vars, pa) = make_pattern encoding n vars a |
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val (n, vars, pb) = make_pattern encoding n vars b |
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in |
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case pa of |
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AbstractMachine.PVar => |
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raise (Make "patterns may not start with a variable") |
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| AbstractMachine.PConst (c, args) => |
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(n, vars, AbstractMachine.PConst (c, args@[pb])) |
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end |
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fun thm2rule (encoding, hyptable, shyptable) th = |
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let |
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val (ComputeThm (hyps, shyps, prop)) = th |
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val hyptable = fold (fn h => Termtab.update (h, ())) hyps hyptable |
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val shyptable = fold (fn sh => Sorttab.update (sh, ())) shyps shyptable |
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val (prems, prop) = (Logic.strip_imp_prems prop, Logic.strip_imp_concl prop) |
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val (a, b) = Logic.dest_equals prop |
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handle TERM _ => raise (Make "theorems must be meta-level equations (with optional guards)") |
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val a = Envir.eta_contract a |
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val b = Envir.eta_contract b |
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val prems = map Envir.eta_contract prems |
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val (encoding, left) = remove_types encoding a |
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val (encoding, right) = remove_types encoding b |
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fun remove_types_of_guard encoding g = |
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(let |
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val (t1, t2) = Logic.dest_equals g |
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val (encoding, t1) = remove_types encoding t1 |
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val (encoding, t2) = remove_types encoding t2 |
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in |
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(encoding, AbstractMachine.Guard (t1, t2)) |
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end handle TERM _ => raise (Make "guards must be meta-level equations")) |
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val (encoding, prems) = fold_rev (fn p => fn (encoding, ps) => let val (e, p) = remove_types_of_guard encoding p in (e, p::ps) end) prems (encoding, []) |
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(* Principally, a check should be made here to see if the (meta-) hyps contain any of the variables of the rule. |
256 |
As it is, all variables of the rule are schematic, and there are no schematic variables in meta-hyps, therefore |
|
257 |
this check can be left out. *) |
|
258 |
||
259 |
val (vcount, vars, pattern) = make_pattern encoding 0 Inttab.empty left |
|
23174 | 260 |
val _ = (case pattern of |
23663 | 261 |
AbstractMachine.PVar => |
23174 | 262 |
raise (Make "patterns may not start with a variable") |
23663 | 263 |
(* | AbstractMachine.PConst (_, []) => |
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(print th; raise (Make "no parameter rewrite found"))*) |
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265 |
| _ => ()) |
23174 | 266 |
|
267 |
(* finally, provide a function for renaming the |
|
23663 | 268 |
pattern bound variables on the right hand side *) |
23174 | 269 |
|
23663 | 270 |
fun rename level vars (var as AbstractMachine.Var _) = var |
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| rename level vars (c as AbstractMachine.Const code) = |
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272 |
(case Inttab.lookup vars code of |
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273 |
NONE => c |
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274 |
| SOME n => AbstractMachine.Var (vcount-n-1+level)) |
23663 | 275 |
| rename level vars (AbstractMachine.App (a, b)) = |
276 |
AbstractMachine.App (rename level vars a, rename level vars b) |
|
277 |
| rename level vars (AbstractMachine.Abs m) = |
|
278 |
AbstractMachine.Abs (rename (level+1) vars m) |
|
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279 |
|
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fun rename_guard (AbstractMachine.Guard (a,b)) = |
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281 |
AbstractMachine.Guard (rename 0 vars a, rename 0 vars b) |
23174 | 282 |
in |
23663 | 283 |
((encoding, hyptable, shyptable), (map rename_guard prems, pattern, rename 0 vars right)) |
23174 | 284 |
end |
285 |
||
23663 | 286 |
val ((encoding, hyptable, shyptable), rules) = |
287 |
fold_rev (fn th => fn (encoding_hyptable, rules) => |
|
23174 | 288 |
let |
23663 | 289 |
val (encoding_hyptable, rule) = thm2rule encoding_hyptable th |
290 |
in (encoding_hyptable, rule::rules) end) |
|
25217 | 291 |
ths ((encoding, Termtab.empty, Sorttab.empty), []) |
23174 | 292 |
|
25520 | 293 |
fun make_cache_pattern t (encoding, cache_patterns) = |
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294 |
let |
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val (encoding, a) = remove_types encoding t |
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val (_,_,p) = make_pattern encoding 0 Inttab.empty a |
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297 |
in |
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298 |
(encoding, p::cache_patterns) |
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299 |
end |
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300 |
|
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301 |
val (encoding, cache_patterns) = fold_rev make_cache_pattern cache_pattern_terms (encoding, []) |
25520 | 302 |
|
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fun arity (Type ("fun", [a,b])) = 1 + arity b |
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304 |
| arity _ = 0 |
25520 | 305 |
|
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fun make_arity (Const (s, _), i) tab = |
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307 |
(Inttab.update (i, arity (Sign.the_const_type thy s)) tab handle TYPE _ => tab) |
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| make_arity _ tab = tab |
25520 | 309 |
|
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val const_arity_tab = Encode.fold make_arity encoding Inttab.empty |
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311 |
fun const_arity x = Inttab.lookup const_arity_tab x |
25520 | 312 |
|
23663 | 313 |
val prog = |
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314 |
case machine of |
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315 |
BARRAS => ProgBarras (AM_Interpreter.compile cache_patterns const_arity rules) |
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316 |
| BARRAS_COMPILED => ProgBarrasC (AM_Compiler.compile cache_patterns const_arity rules) |
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| HASKELL => ProgHaskell (AM_GHC.compile cache_patterns const_arity rules) |
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318 |
| SML => ProgSML (AM_SML.compile cache_patterns const_arity rules) |
23174 | 319 |
|
23663 | 320 |
fun has_witness s = not (null (Sign.witness_sorts thy [] [s])) |
23174 | 321 |
|
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val shyptable = fold Sorttab.delete (filter has_witness (Sorttab.keys (shyptable))) shyptable |
23663 | 323 |
|
25217 | 324 |
in (Theory.check_thy thy, encoding, Termtab.keys hyptable, shyptable, prog, stamp, default_naming) end |
325 |
||
25520 | 326 |
fun make_with_cache machine thy cache_patterns raw_thms = Computer (ref (SOME (make_internal machine thy (ref ()) Encode.empty cache_patterns raw_thms))) |
23663 | 327 |
|
25520 | 328 |
fun make machine thy raw_thms = make_with_cache machine thy [] raw_thms |
329 |
||
330 |
fun update_with_cache computer cache_patterns raw_thms = |
|
25217 | 331 |
let |
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332 |
val c = make_internal (machine_of_prog (prog_of computer)) (theory_of computer) (stamp_of computer) |
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333 |
(encoding_of computer) cache_patterns raw_thms |
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334 |
val _ = (ref_of computer) := SOME c |
25217 | 335 |
in |
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336 |
() |
25217 | 337 |
end |
338 |
||
25520 | 339 |
fun update computer raw_thms = update_with_cache computer [] raw_thms |
340 |
||
25217 | 341 |
fun discard computer = |
23174 | 342 |
let |
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343 |
val _ = |
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344 |
case prog_of computer of |
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345 |
ProgBarras p => AM_Interpreter.discard p |
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346 |
| ProgBarrasC p => AM_Compiler.discard p |
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347 |
| ProgHaskell p => AM_GHC.discard p |
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348 |
| ProgSML p => AM_SML.discard p |
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349 |
val _ = (ref_of computer) := NONE |
23174 | 350 |
in |
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351 |
() |
25217 | 352 |
end |
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353 |
|
25217 | 354 |
fun runprog (ProgBarras p) = AM_Interpreter.run p |
355 |
| runprog (ProgBarrasC p) = AM_Compiler.run p |
|
356 |
| runprog (ProgHaskell p) = AM_GHC.run p |
|
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357 |
| runprog (ProgSML p) = AM_SML.run p |
25217 | 358 |
|
359 |
(* ------------------------------------------------------------------------------------- *) |
|
360 |
(* An oracle for exporting theorems; must only be accessible from inside this structure! *) |
|
361 |
(* ------------------------------------------------------------------------------------- *) |
|
362 |
||
363 |
fun merge_hyps hyps1 hyps2 = |
|
364 |
let |
|
365 |
fun add hyps tab = fold (fn h => fn tab => Termtab.update (h, ()) tab) hyps tab |
|
366 |
in |
|
367 |
Termtab.keys (add hyps2 (add hyps1 Termtab.empty)) |
|
368 |
end |
|
369 |
||
370 |
fun add_shyps shyps tab = fold (fn h => fn tab => Sorttab.update (h, ()) tab) shyps tab |
|
371 |
||
372 |
fun merge_shyps shyps1 shyps2 = Sorttab.keys (add_shyps shyps2 (add_shyps shyps1 Sorttab.empty)) |
|
373 |
||
28290 | 374 |
val (_, export_oracle) = Context.>>> (Context.map_theory_result |
375 |
(Thm.add_oracle ("compute", fn (thy, hyps, shyps, prop) => |
|
25217 | 376 |
let |
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377 |
val shyptab = add_shyps shyps Sorttab.empty |
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378 |
fun delete s shyptab = Sorttab.delete s shyptab handle Sorttab.UNDEF _ => shyptab |
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379 |
fun delete_term t shyptab = fold delete (Sorts.insert_term t []) shyptab |
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|
380 |
fun has_witness s = not (null (Sign.witness_sorts thy [] [s])) |
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381 |
val shyptab = fold Sorttab.delete (filter has_witness (Sorttab.keys (shyptab))) shyptab |
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|
382 |
val shyps = if Sorttab.is_empty shyptab then [] else Sorttab.keys (fold delete_term (prop::hyps) shyptab) |
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|
383 |
val _ = if not (null shyps) then raise Compute ("dangling sort hypotheses: "^(makestring shyps)) else () |
25217 | 384 |
in |
28290 | 385 |
Thm.cterm_of thy (fold_rev (fn hyp => fn p => Logic.mk_implies (hyp, p)) hyps prop) |
386 |
end))); |
|
25217 | 387 |
|
388 |
fun export_thm thy hyps shyps prop = |
|
389 |
let |
|
28290 | 390 |
val th = export_oracle (thy, hyps, shyps, prop) |
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391 |
val hyps = map (fn h => assume (cterm_of thy h)) hyps |
25217 | 392 |
in |
26626
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393 |
fold (fn h => fn p => implies_elim p h) hyps th |
25217 | 394 |
end |
26626
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|
395 |
|
25217 | 396 |
(* --------- Rewrite ----------- *) |
397 |
||
398 |
fun rewrite computer ct = |
|
399 |
let |
|
26626
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|
400 |
val thy = Thm.theory_of_cterm ct |
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|
401 |
val {t=t',T=ty,...} = rep_cterm ct |
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402 |
val _ = Theory.assert_super (theory_of computer) thy |
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403 |
val naming = naming_of computer |
25217 | 404 |
val (encoding, t) = remove_types (encoding_of computer) t' |
26626
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|
405 |
(*val _ = if (!print_encoding) then writeln (makestring ("encoding: ",Encode.fold (fn x => fn s => x::s) encoding [])) else ()*) |
25217 | 406 |
val t = runprog (prog_of computer) t |
407 |
val t = infer_types naming encoding ty t |
|
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|
408 |
val eq = Logic.mk_equals (t', t) |
25217 | 409 |
in |
410 |
export_thm thy (hyps_of computer) (Sorttab.keys (shyptab_of computer)) eq |
|
411 |
end |
|
412 |
||
413 |
(* --------- Simplify ------------ *) |
|
23663 | 414 |
|
25217 | 415 |
datatype prem = EqPrem of AbstractMachine.term * AbstractMachine.term * Term.typ * int |
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416 |
| Prem of AbstractMachine.term |
25217 | 417 |
datatype theorem = Theorem of theory_ref * unit ref * (int * typ) Symtab.table * (AbstractMachine.term option) Inttab.table |
418 |
* prem list * AbstractMachine.term * term list * sort list |
|
419 |
||
420 |
||
421 |
exception ParamSimplify of computer * theorem |
|
422 |
||
423 |
fun make_theorem computer th vars = |
|
424 |
let |
|
425 |
val _ = Theory.assert_super (theory_of computer) (theory_of_thm th) |
|
426 |
||
427 |
val (ComputeThm (hyps, shyps, prop)) = thm2cthm th |
|
428 |
||
429 |
val encoding = encoding_of computer |
|
430 |
||
431 |
(* variables in the theorem are identified upfront *) |
|
432 |
fun collect_vars (Abs (_, _, t)) tab = collect_vars t tab |
|
433 |
| collect_vars (a $ b) tab = collect_vars b (collect_vars a tab) |
|
434 |
| collect_vars (Const _) tab = tab |
|
435 |
| collect_vars (Free _) tab = tab |
|
436 |
| collect_vars (Var ((s, i), ty)) tab = |
|
26626
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437 |
if List.find (fn x => x=s) vars = NONE then |
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|
438 |
tab |
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|
439 |
else |
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|
440 |
(case Symtab.lookup tab s of |
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|
441 |
SOME ((s',i'),ty') => |
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442 |
if s' <> s orelse i' <> i orelse ty <> ty' then |
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|
443 |
raise Compute ("make_theorem: variable name '"^s^"' is not unique") |
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|
444 |
else |
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|
445 |
tab |
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|
446 |
| NONE => Symtab.update (s, ((s, i), ty)) tab) |
25217 | 447 |
val vartab = collect_vars prop Symtab.empty |
448 |
fun encodevar (s, t as (_, ty)) (encoding, tab) = |
|
26626
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449 |
let |
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|
450 |
val (x, encoding) = Encode.insert (Var t) encoding |
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|
451 |
in |
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|
452 |
(encoding, Symtab.update (s, (x, ty)) tab) |
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|
453 |
end |
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|
454 |
val (encoding, vartab) = Symtab.fold encodevar vartab (encoding, Symtab.empty) |
25217 | 455 |
val varsubst = Inttab.make (map (fn (s, (x, _)) => (x, NONE)) (Symtab.dest vartab)) |
23174 | 456 |
|
25217 | 457 |
(* make the premises and the conclusion *) |
458 |
fun mk_prem encoding t = |
|
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|
459 |
(let |
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wenzelm
parents:
25520
diff
changeset
|
460 |
val (a, b) = Logic.dest_equals t |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
461 |
val ty = type_of a |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
462 |
val (encoding, a) = remove_types encoding a |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
463 |
val (encoding, b) = remove_types encoding b |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
464 |
val (eq, encoding) = Encode.insert (Const ("==", ty --> ty --> @{typ "prop"})) encoding |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
465 |
in |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
466 |
(encoding, EqPrem (a, b, ty, eq)) |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
467 |
end handle TERM _ => let val (encoding, t) = remove_types encoding t in (encoding, Prem t) end) |
25217 | 468 |
val (encoding, prems) = |
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
469 |
(fold_rev (fn t => fn (encoding, l) => |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
470 |
case mk_prem encoding t of |
25217 | 471 |
(encoding, t) => (encoding, t::l)) (Logic.strip_imp_prems prop) (encoding, [])) |
472 |
val (encoding, concl) = remove_types encoding (Logic.strip_imp_concl prop) |
|
473 |
val _ = set_encoding computer encoding |
|
474 |
in |
|
475 |
Theorem (Theory.check_thy (theory_of_thm th), stamp_of computer, vartab, varsubst, |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
476 |
prems, concl, hyps, shyps) |
25217 | 477 |
end |
478 |
||
479 |
fun theory_of_theorem (Theorem (rthy,_,_,_,_,_,_,_)) = Theory.deref rthy |
|
480 |
fun update_theory thy (Theorem (_,p0,p1,p2,p3,p4,p5,p6)) = |
|
481 |
Theorem (Theory.check_thy thy,p0,p1,p2,p3,p4,p5,p6) |
|
482 |
fun stamp_of_theorem (Theorem (_,s, _, _, _, _, _, _)) = s |
|
483 |
fun vartab_of_theorem (Theorem (_,_,vt,_,_,_,_,_)) = vt |
|
484 |
fun varsubst_of_theorem (Theorem (_,_,_,vs,_,_,_,_)) = vs |
|
485 |
fun update_varsubst vs (Theorem (p0,p1,p2,_,p3,p4,p5,p6)) = Theorem (p0,p1,p2,vs,p3,p4,p5,p6) |
|
486 |
fun prems_of_theorem (Theorem (_,_,_,_,prems,_,_,_)) = prems |
|
487 |
fun update_prems prems (Theorem (p0,p1,p2,p3,_,p4,p5,p6)) = Theorem (p0,p1,p2,p3,prems,p4,p5,p6) |
|
488 |
fun concl_of_theorem (Theorem (_,_,_,_,_,concl,_,_)) = concl |
|
489 |
fun hyps_of_theorem (Theorem (_,_,_,_,_,_,hyps,_)) = hyps |
|
490 |
fun update_hyps hyps (Theorem (p0,p1,p2,p3,p4,p5,_,p6)) = Theorem (p0,p1,p2,p3,p4,p5,hyps,p6) |
|
491 |
fun shyps_of_theorem (Theorem (_,_,_,_,_,_,_,shyps)) = shyps |
|
492 |
fun update_shyps shyps (Theorem (p0,p1,p2,p3,p4,p5,p6,_)) = Theorem (p0,p1,p2,p3,p4,p5,p6,shyps) |
|
493 |
||
494 |
fun check_compatible computer th s = |
|
495 |
if stamp_of computer <> stamp_of_theorem th then |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
496 |
raise Compute (s^": computer and theorem are incompatible") |
25217 | 497 |
else () |
498 |
||
499 |
fun instantiate computer insts th = |
|
500 |
let |
|
501 |
val _ = check_compatible computer th |
|
502 |
||
503 |
val thy = theory_of computer |
|
504 |
||
505 |
val vartab = vartab_of_theorem th |
|
506 |
||
507 |
fun rewrite computer t = |
|
508 |
let |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
509 |
val naming = naming_of computer |
25217 | 510 |
val (encoding, t) = remove_types (encoding_of computer) t |
511 |
val t = runprog (prog_of computer) t |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
512 |
val _ = set_encoding computer encoding |
23174 | 513 |
in |
514 |
t |
|
515 |
end |
|
516 |
||
25217 | 517 |
fun assert_varfree vs t = |
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
518 |
if AbstractMachine.forall_consts (fn x => Inttab.lookup vs x = NONE) t then |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
519 |
() |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
520 |
else |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
521 |
raise Compute "instantiate: assert_varfree failed" |
25217 | 522 |
|
523 |
fun assert_closed t = |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
524 |
if AbstractMachine.closed t then |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
525 |
() |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
526 |
else |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
527 |
raise Compute "instantiate: not a closed term" |
23663 | 528 |
|
25217 | 529 |
fun compute_inst (s, ct) vs = |
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
530 |
let |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
531 |
val _ = Theory.assert_super (theory_of_cterm ct) thy |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
532 |
val ty = typ_of (ctyp_of_term ct) |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
533 |
in |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
534 |
(case Symtab.lookup vartab s of |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
535 |
NONE => raise Compute ("instantiate: variable '"^s^"' not found in theorem") |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
536 |
| SOME (x, ty') => |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
537 |
(case Inttab.lookup vs x of |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
538 |
SOME (SOME _) => raise Compute ("instantiate: variable '"^s^"' has already been instantiated") |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
539 |
| SOME NONE => |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
540 |
if ty <> ty' then |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
541 |
raise Compute ("instantiate: wrong type for variable '"^s^"'") |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
542 |
else |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
543 |
let |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
544 |
val t = rewrite computer (term_of ct) |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
545 |
val _ = assert_varfree vs t |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
546 |
val _ = assert_closed t |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
547 |
in |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
548 |
Inttab.update (x, SOME t) vs |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
549 |
end |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
550 |
| NONE => raise Compute "instantiate: internal error")) |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
551 |
end |
23174 | 552 |
|
25217 | 553 |
val vs = fold compute_inst insts (varsubst_of_theorem th) |
554 |
in |
|
555 |
update_varsubst vs th |
|
556 |
end |
|
23174 | 557 |
|
25217 | 558 |
fun match_aterms subst = |
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
559 |
let |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
560 |
exception no_match |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
561 |
open AbstractMachine |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
562 |
fun match subst (b as (Const c)) a = |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
563 |
if a = b then subst |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
564 |
else |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
565 |
(case Inttab.lookup subst c of |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
566 |
SOME (SOME a') => if a=a' then subst else raise no_match |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
567 |
| SOME NONE => if AbstractMachine.closed a then |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
568 |
Inttab.update (c, SOME a) subst |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
569 |
else raise no_match |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
570 |
| NONE => raise no_match) |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
571 |
| match subst (b as (Var _)) a = if a=b then subst else raise no_match |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
572 |
| match subst (App (u, v)) (App (u', v')) = match (match subst u u') v v' |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
573 |
| match subst (Abs u) (Abs u') = match subst u u' |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
574 |
| match subst _ _ = raise no_match |
23663 | 575 |
in |
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
576 |
fn b => fn a => (SOME (match subst b a) handle no_match => NONE) |
25217 | 577 |
end |
578 |
||
579 |
fun apply_subst vars_allowed subst = |
|
580 |
let |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
581 |
open AbstractMachine |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
582 |
fun app (t as (Const c)) = |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
583 |
(case Inttab.lookup subst c of |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
584 |
NONE => t |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
585 |
| SOME (SOME t) => Computed t |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
586 |
| SOME NONE => if vars_allowed then t else raise Compute "apply_subst: no vars allowed") |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
587 |
| app (t as (Var _)) = t |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
588 |
| app (App (u, v)) = App (app u, app v) |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
589 |
| app (Abs m) = Abs (app m) |
25217 | 590 |
in |
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
591 |
app |
23663 | 592 |
end |
593 |
||
25217 | 594 |
fun splicein n l L = List.take (L, n) @ l @ List.drop (L, n+1) |
23663 | 595 |
|
25217 | 596 |
fun evaluate_prem computer prem_no th = |
597 |
let |
|
598 |
val _ = check_compatible computer th |
|
599 |
val prems = prems_of_theorem th |
|
600 |
val varsubst = varsubst_of_theorem th |
|
601 |
fun run vars_allowed t = |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
602 |
runprog (prog_of computer) (apply_subst vars_allowed varsubst t) |
25217 | 603 |
in |
604 |
case List.nth (prems, prem_no) of |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
605 |
Prem _ => raise Compute "evaluate_prem: no equality premise" |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
606 |
| EqPrem (a, b, ty, _) => |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
607 |
let |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
608 |
val a' = run false a |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
609 |
val b' = run true b |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
610 |
in |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
611 |
case match_aterms varsubst b' a' of |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
612 |
NONE => |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
613 |
let |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
614 |
fun mk s = makestring (infer_types (naming_of computer) (encoding_of computer) ty s) |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
615 |
val left = "computed left side: "^(mk a') |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
616 |
val right = "computed right side: "^(mk b') |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
617 |
in |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
618 |
raise Compute ("evaluate_prem: cannot assign computed left to right hand side\n"^left^"\n"^right^"\n") |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
619 |
end |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
620 |
| SOME varsubst => |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
621 |
update_prems (splicein prem_no [] prems) (update_varsubst varsubst th) |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
622 |
end |
25217 | 623 |
end |
23663 | 624 |
|
25217 | 625 |
fun prem2term (Prem t) = t |
626 |
| prem2term (EqPrem (a,b,_,eq)) = |
|
627 |
AbstractMachine.App (AbstractMachine.App (AbstractMachine.Const eq, a), b) |
|
23663 | 628 |
|
25217 | 629 |
fun modus_ponens computer prem_no th' th = |
630 |
let |
|
631 |
val _ = check_compatible computer th |
|
632 |
val thy = |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
633 |
let |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
634 |
val thy1 = theory_of_theorem th |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
635 |
val thy2 = theory_of_thm th' |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
636 |
in |
26674 | 637 |
if Theory.subthy (thy1, thy2) then thy2 |
638 |
else if Theory.subthy (thy2, thy1) then thy1 else |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
639 |
raise Compute "modus_ponens: theorems are not compatible with each other" |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
640 |
end |
25217 | 641 |
val th' = make_theorem computer th' [] |
642 |
val varsubst = varsubst_of_theorem th |
|
643 |
fun run vars_allowed t = |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
644 |
runprog (prog_of computer) (apply_subst vars_allowed varsubst t) |
25217 | 645 |
val prems = prems_of_theorem th |
646 |
val prem = run true (prem2term (List.nth (prems, prem_no))) |
|
647 |
val concl = run false (concl_of_theorem th') |
|
648 |
in |
|
649 |
case match_aterms varsubst prem concl of |
|
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
650 |
NONE => raise Compute "modus_ponens: conclusion does not match premise" |
25217 | 651 |
| SOME varsubst => |
26626
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
652 |
let |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
653 |
val th = update_varsubst varsubst th |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
654 |
val th = update_prems (splicein prem_no (prems_of_theorem th') prems) th |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
655 |
val th = update_hyps (merge_hyps (hyps_of_theorem th) (hyps_of_theorem th')) th |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
656 |
val th = update_shyps (merge_shyps (shyps_of_theorem th) (shyps_of_theorem th')) th |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
657 |
in |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
658 |
update_theory thy th |
c6231d64d264
rep_cterm/rep_thm: no longer dereference theory_ref;
wenzelm
parents:
25520
diff
changeset
|
659 |
end |
25217 | 660 |
end |
661 |
||
662 |
fun simplify computer th = |
|
663 |
let |
|
664 |
val _ = check_compatible computer th |
|
665 |
val varsubst = varsubst_of_theorem th |
|
666 |
val encoding = encoding_of computer |
|
667 |
val naming = naming_of computer |
|
668 |
fun infer t = infer_types naming encoding @{typ "prop"} t |
|
669 |
fun run t = infer (runprog (prog_of computer) (apply_subst true varsubst t)) |
|
670 |
fun runprem p = run (prem2term p) |
|
671 |
val prop = Logic.list_implies (map runprem (prems_of_theorem th), run (concl_of_theorem th)) |
|
672 |
val hyps = merge_hyps (hyps_of computer) (hyps_of_theorem th) |
|
673 |
val shyps = merge_shyps (shyps_of_theorem th) (Sorttab.keys (shyptab_of computer)) |
|
674 |
in |
|
675 |
export_thm (theory_of_theorem th) hyps shyps prop |
|
676 |
end |
|
23174 | 677 |
|
678 |
end |
|
23663 | 679 |