TFL/tfl.ML
author obua
Fri, 16 Sep 2005 21:02:15 +0200
changeset 17440 df77edc4f5d0
parent 17314 04e21a27c0ad
child 17465 93fc1211603f
permissions -rw-r--r--
fixed HOL-light/Isabelle syntax incompatability via more protect_xxx functions
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(*  Title:      TFL/tfl.ML
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    ID:         $Id$
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    Author:     Konrad Slind, Cambridge University Computer Laboratory
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    Copyright   1997  University of Cambridge
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First part of main module.
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*)
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signature PRIM =
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sig
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  val trace: bool ref
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  val trace_thms: string -> thm list -> unit
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  val trace_cterms: string -> cterm list -> unit
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  type pattern
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  val mk_functional: theory -> term list -> {functional: term, pats: pattern list}
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  val wfrec_definition0: theory -> string -> term -> term -> theory * thm
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  val post_definition: thm list -> theory * (thm * pattern list) ->
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   {theory: theory,
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    rules: thm,
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    rows: int list,
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    TCs: term list list,
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    full_pats_TCs: (term * term list) list}
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  val wfrec_eqns: theory -> xstring -> thm list -> term list ->
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   {WFR: term,
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    SV: term list,
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    proto_def: term,
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    extracta: (thm * term list) list,
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    pats: pattern list}
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  val lazyR_def: theory -> xstring -> thm list -> term list ->
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   {theory: theory,
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    rules: thm,
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    R: term,
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    SV: term list,
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    full_pats_TCs: (term * term list) list,
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    patterns : pattern list}
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  val mk_induction: theory ->
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    {fconst: term, R: term, SV: term list, pat_TCs_list: (term * term list) list} -> thm
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  val postprocess: bool -> {wf_tac: tactic, terminator: tactic, simplifier: cterm -> thm}
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    -> theory -> {rules: thm, induction: thm, TCs: term list list}
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    -> {rules: thm, induction: thm, nested_tcs: thm list}
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end;
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structure Prim: PRIM =
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struct
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val trace = ref false;
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open BasisLibrary;
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structure R = Rules;
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structure S = USyntax;
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structure U = Utils;
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fun TFL_ERR func mesg = U.ERR {module = "Tfl", func = func, mesg = mesg};
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val concl = #2 o R.dest_thm;
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val hyp = #1 o R.dest_thm;
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val list_mk_type = U.end_itlist (curry (op -->));
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fun enumerate xs = ListPair.zip(xs, 0 upto (length xs - 1));
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fun front_last [] = raise TFL_ERR "front_last" "empty list"
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  | front_last [x] = ([],x)
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  | front_last (h::t) =
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     let val (pref,x) = front_last t
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     in
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        (h::pref,x)
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     end;
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(*---------------------------------------------------------------------------
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 * The next function is common to pattern-match translation and
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 * proof of completeness of cases for the induction theorem.
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 *
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 * The curried function "gvvariant" returns a function to generate distinct
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 * variables that are guaranteed not to be in names.  The names of
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 * the variables go u, v, ..., z, aa, ..., az, ...  The returned
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 * function contains embedded refs!
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 *---------------------------------------------------------------------------*)
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fun gvvariant names =
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  let val slist = ref names
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      val vname = ref "u"
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      fun new() =
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         if !vname mem_string (!slist)
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         then (vname := Symbol.bump_string (!vname);  new())
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         else (slist := !vname :: !slist;  !vname)
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  in
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  fn ty => Free(new(), ty)
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  end;
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(*---------------------------------------------------------------------------
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 * Used in induction theorem production. This is the simple case of
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 * partitioning up pattern rows by the leading constructor.
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 *---------------------------------------------------------------------------*)
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fun ipartition gv (constructors,rows) =
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  let fun pfail s = raise TFL_ERR "partition.part" s
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      fun part {constrs = [],   rows = [],   A} = rev A
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        | part {constrs = [],   rows = _::_, A} = pfail"extra cases in defn"
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        | part {constrs = _::_, rows = [],   A} = pfail"cases missing in defn"
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        | part {constrs = c::crst, rows,     A} =
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          let val (c, T) = dest_Const c
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              val L = binder_types T
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              val (in_group, not_in_group) =
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               fold_rev (fn (row as (p::rst, rhs)) =>
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                         fn (in_group,not_in_group) =>
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                  let val (pc,args) = S.strip_comb p
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                  in if (#1(dest_Const pc) = c)
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                     then ((args@rst, rhs)::in_group, not_in_group)
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                     else (in_group, row::not_in_group)
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                  end)      rows ([],[])
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              val col_types = U.take type_of (length L, #1(hd in_group))
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          in
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          part{constrs = crst, rows = not_in_group,
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               A = {constructor = c,
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                    new_formals = map gv col_types,
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                    group = in_group}::A}
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          end
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  in part{constrs = constructors, rows = rows, A = []}
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  end;
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(*---------------------------------------------------------------------------
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 * Each pattern carries with it a tag (i,b) where
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 * i is the clause it came from and
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 * b=true indicates that clause was given by the user
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 * (or is an instantiation of a user supplied pattern)
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 * b=false --> i = ~1
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 *---------------------------------------------------------------------------*)
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type pattern = term * (int * bool)
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fun pattern_map f (tm,x) = (f tm, x);
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fun pattern_subst theta = pattern_map (subst_free theta);
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val pat_of = fst;
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fun row_of_pat x = fst (snd x);
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fun given x = snd (snd x);
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(*---------------------------------------------------------------------------
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 * Produce an instance of a constructor, plus genvars for its arguments.
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 *---------------------------------------------------------------------------*)
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fun fresh_constr ty_match colty gv c =
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  let val (_,Ty) = dest_Const c
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      val L = binder_types Ty
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      and ty = body_type Ty
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      val ty_theta = ty_match ty colty
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      val c' = S.inst ty_theta c
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      val gvars = map (S.inst ty_theta o gv) L
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  in (c', gvars)
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  end;
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(*---------------------------------------------------------------------------
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 * Goes through a list of rows and picks out the ones beginning with a
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 * pattern with constructor = name.
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 *---------------------------------------------------------------------------*)
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fun mk_group name rows =
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  fold_rev (fn (row as ((prfx, p::rst), rhs)) =>
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            fn (in_group,not_in_group) =>
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               let val (pc,args) = S.strip_comb p
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               in if ((#1 (Term.dest_Const pc) = name) handle TERM _ => false)
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                  then (((prfx,args@rst), rhs)::in_group, not_in_group)
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                  else (in_group, row::not_in_group) end)
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      rows ([],[]);
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(*---------------------------------------------------------------------------
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 * Partition the rows. Not efficient: we should use hashing.
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 *---------------------------------------------------------------------------*)
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fun partition _ _ (_,_,_,[]) = raise TFL_ERR "partition" "no rows"
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  | partition gv ty_match
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              (constructors, colty, res_ty, rows as (((prfx,_),_)::_)) =
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let val fresh = fresh_constr ty_match colty gv
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     fun part {constrs = [],      rows, A} = rev A
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       | part {constrs = c::crst, rows, A} =
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         let val (c',gvars) = fresh c
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             val (in_group, not_in_group) = mk_group (#1 (dest_Const c')) rows
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             val in_group' =
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                 if (null in_group)  (* Constructor not given *)
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                 then [((prfx, #2(fresh c)), (S.ARB res_ty, (~1,false)))]
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                 else in_group
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         in
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         part{constrs = crst,
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              rows = not_in_group,
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              A = {constructor = c',
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                   new_formals = gvars,
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                   group = in_group'}::A}
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         end
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in part{constrs=constructors, rows=rows, A=[]}
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end;
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(*---------------------------------------------------------------------------
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 * Misc. routines used in mk_case
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 *---------------------------------------------------------------------------*)
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fun mk_pat (c,l) =
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  let val L = length (binder_types (type_of c))
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      fun build (prfx,tag,plist) =
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          let val args   = Library.take (L,plist)
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              and plist' = Library.drop(L,plist)
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          in (prfx,tag,list_comb(c,args)::plist') end
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  in map build l end;
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fun v_to_prfx (prfx, v::pats) = (v::prfx,pats)
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  | v_to_prfx _ = raise TFL_ERR "mk_case" "v_to_prfx";
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fun v_to_pats (v::prfx,tag, pats) = (prfx, tag, v::pats)
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  | v_to_pats _ = raise TFL_ERR "mk_case" "v_to_pats";
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(*----------------------------------------------------------------------------
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 * Translation of pattern terms into nested case expressions.
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 *
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 * This performs the translation and also builds the full set of patterns.
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 * Thus it supports the construction of induction theorems even when an
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 * incomplete set of patterns is given.
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 *---------------------------------------------------------------------------*)
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fun mk_case ty_info ty_match usednames range_ty =
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 let
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 fun mk_case_fail s = raise TFL_ERR "mk_case" s
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 val fresh_var = gvvariant usednames
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 val divide = partition fresh_var ty_match
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 fun expand constructors ty ((_,[]), _) = mk_case_fail"expand_var_row"
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   | expand constructors ty (row as ((prfx, p::rst), rhs)) =
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       if (is_Free p)
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       then let val fresh = fresh_constr ty_match ty fresh_var
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                fun expnd (c,gvs) =
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                  let val capp = list_comb(c,gvs)
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                  in ((prfx, capp::rst), pattern_subst[(p,capp)] rhs)
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                  end
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            in map expnd (map fresh constructors)  end
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       else [row]
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 fun mk{rows=[],...} = mk_case_fail"no rows"
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   | mk{path=[], rows = ((prfx, []), (tm,tag))::_} =  (* Done *)
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        ([(prfx,tag,[])], tm)
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   | mk{path=[], rows = _::_} = mk_case_fail"blunder"
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   | mk{path as u::rstp, rows as ((prfx, []), rhs)::rst} =
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        mk{path = path,
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           rows = ((prfx, [fresh_var(type_of u)]), rhs)::rst}
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   | mk{path = u::rstp, rows as ((_, p::_), _)::_} =
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     let val (pat_rectangle,rights) = ListPair.unzip rows
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         val col0 = map(hd o #2) pat_rectangle
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     in
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     if (forall is_Free col0)
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     then let val rights' = map (fn(v,e) => pattern_subst[(v,u)] e)
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                                (ListPair.zip (col0, rights))
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              val pat_rectangle' = map v_to_prfx pat_rectangle
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              val (pref_patl,tm) = mk{path = rstp,
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                                      rows = ListPair.zip (pat_rectangle',
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                                                           rights')}
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          in (map v_to_pats pref_patl, tm)
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          end
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     else
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     let val pty as Type (ty_name,_) = type_of p
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     in
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     case (ty_info ty_name)
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     of NONE => mk_case_fail("Not a known datatype: "^ty_name)
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      | SOME{case_const,constructors} =>
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        let
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            val case_const_name = #1(dest_Const case_const)
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            val nrows = List.concat (map (expand constructors pty) rows)
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            val subproblems = divide(constructors, pty, range_ty, nrows)
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            val groups      = map #group subproblems
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            and new_formals = map #new_formals subproblems
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            and constructors' = map #constructor subproblems
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            val news = map (fn (nf,rows) => {path = nf@rstp, rows=rows})
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                           (ListPair.zip (new_formals, groups))
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            val rec_calls = map mk news
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            val (pat_rect,dtrees) = ListPair.unzip rec_calls
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            val case_functions = map S.list_mk_abs
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                                  (ListPair.zip (new_formals, dtrees))
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            val types = map type_of (case_functions@[u]) @ [range_ty]
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            val case_const' = Const(case_const_name, list_mk_type types)
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            val tree = list_comb(case_const', case_functions@[u])
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            val pat_rect1 = List.concat
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                              (ListPair.map mk_pat (constructors', pat_rect))
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        in (pat_rect1,tree)
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        end
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     end end
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 in mk
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 end;
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(* Repeated variable occurrences in a pattern are not allowed. *)
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fun FV_multiset tm =
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   case (S.dest_term tm)
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     of S.VAR{Name = c, Ty = T} => [Free(c, T)]
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      | S.CONST _ => []
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      | S.COMB{Rator, Rand} => FV_multiset Rator @ FV_multiset Rand
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      | S.LAMB _ => raise TFL_ERR "FV_multiset" "lambda";
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fun no_repeat_vars thy pat =
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 let fun check [] = true
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       | check (v::rst) =
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         if mem_term (v,rst) then
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            raise TFL_ERR "no_repeat_vars"
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                          (quote (#1 (dest_Free v)) ^
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                          " occurs repeatedly in the pattern " ^
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                          quote (string_of_cterm (Thry.typecheck thy pat)))
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         else check rst
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 in check (FV_multiset pat)
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 end;
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fun dest_atom (Free p) = p
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  | dest_atom (Const p) = p
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  | dest_atom  _ = raise TFL_ERR "dest_atom" "function name not an identifier";
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fun same_name (p,q) = #1(dest_atom p) = #1(dest_atom q);
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local fun mk_functional_err s = raise TFL_ERR "mk_functional" s
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      fun single [_$_] =
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              mk_functional_err "recdef does not allow currying"
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        | single [f] = f
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        | single fs  =
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              (*multiple function names?*)
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parents:
diff changeset
   321
              if length (gen_distinct same_name fs) < length fs
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wenzelm
parents:
diff changeset
   322
              then mk_functional_err
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wenzelm
parents:
diff changeset
   323
                   "The function being declared appears with multiple types"
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wenzelm
parents:
diff changeset
   324
              else mk_functional_err
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wenzelm
parents:
diff changeset
   325
                   (Int.toString (length fs) ^
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wenzelm
parents:
diff changeset
   326
                    " distinct function names being declared")
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wenzelm
parents:
diff changeset
   327
in
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wenzelm
parents:
diff changeset
   328
fun mk_functional thy clauses =
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wenzelm
parents:
diff changeset
   329
 let val (L,R) = ListPair.unzip (map HOLogic.dest_eq clauses
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wenzelm
parents:
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   330
                   handle TERM _ => raise TFL_ERR "mk_functional"
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wenzelm
parents:
diff changeset
   331
                        "recursion equations must use the = relation")
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wenzelm
parents:
diff changeset
   332
     val (funcs,pats) = ListPair.unzip (map (fn (t$u) =>(t,u)) L)
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wenzelm
parents:
diff changeset
   333
     val atom = single (gen_distinct (op aconv) funcs)
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wenzelm
parents:
diff changeset
   334
     val (fname,ftype) = dest_atom atom
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wenzelm
parents:
diff changeset
   335
     val dummy = map (no_repeat_vars thy) pats
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wenzelm
parents:
diff changeset
   336
     val rows = ListPair.zip (map (fn x => ([]:term list,[x])) pats,
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wenzelm
parents:
diff changeset
   337
                              map (fn (t,i) => (t,(i,true))) (enumerate R))
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   338
     val names = foldr add_term_names [] R
10769
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wenzelm
parents:
diff changeset
   339
     val atype = type_of(hd pats)
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wenzelm
parents:
diff changeset
   340
     and aname = variant names "a"
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wenzelm
parents:
diff changeset
   341
     val a = Free(aname,atype)
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wenzelm
parents:
diff changeset
   342
     val ty_info = Thry.match_info thy
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wenzelm
parents:
diff changeset
   343
     val ty_match = Thry.match_type thy
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wenzelm
parents:
diff changeset
   344
     val range_ty = type_of (hd R)
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wenzelm
parents:
diff changeset
   345
     val (patts, case_tm) = mk_case ty_info ty_match (aname::names) range_ty
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wenzelm
parents:
diff changeset
   346
                                    {path=[a], rows=rows}
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wenzelm
parents:
diff changeset
   347
     val patts1 = map (fn (_,tag,[pat]) => (pat,tag)) patts
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wenzelm
parents:
diff changeset
   348
          handle Match => mk_functional_err "error in pattern-match translation"
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wenzelm
parents:
diff changeset
   349
     val patts2 = Library.sort (Library.int_ord o Library.pairself row_of_pat) patts1
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wenzelm
parents:
diff changeset
   350
     val finals = map row_of_pat patts2
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wenzelm
parents:
diff changeset
   351
     val originals = map (row_of_pat o #2) rows
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wenzelm
parents:
diff changeset
   352
     val dummy = case (originals\\finals)
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wenzelm
parents:
diff changeset
   353
             of [] => ()
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wenzelm
parents:
diff changeset
   354
          | L => mk_functional_err
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wenzelm
parents:
diff changeset
   355
 ("The following clauses are redundant (covered by preceding clauses): " ^
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wenzelm
parents:
diff changeset
   356
                   commas (map (fn i => Int.toString (i + 1)) L))
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wenzelm
parents:
diff changeset
   357
 in {functional = Abs(Sign.base_name fname, ftype,
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wenzelm
parents:
diff changeset
   358
                      abstract_over (atom,
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wenzelm
parents:
diff changeset
   359
                                     absfree(aname,atype, case_tm))),
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wenzelm
parents:
diff changeset
   360
     pats = patts2}
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wenzelm
parents:
diff changeset
   361
end end;
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wenzelm
parents:
diff changeset
   362
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wenzelm
parents:
diff changeset
   363
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wenzelm
parents:
diff changeset
   364
(*----------------------------------------------------------------------------
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wenzelm
parents:
diff changeset
   365
 *
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wenzelm
parents:
diff changeset
   366
 *                    PRINCIPLES OF DEFINITION
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wenzelm
parents:
diff changeset
   367
 *
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wenzelm
parents:
diff changeset
   368
 *---------------------------------------------------------------------------*)
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wenzelm
parents:
diff changeset
   369
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wenzelm
parents:
diff changeset
   370
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wenzelm
parents:
diff changeset
   371
(*For Isabelle, the lhs of a definition must be a constant.*)
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   372
fun mk_const_def sign (c, Ty, rhs) =
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14820
diff changeset
   373
    Sign.infer_types (Sign.pp sign) sign (K NONE) (K NONE) [] false
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   374
               ([Const("==",dummyT) $ Const(c,Ty) $ rhs], propT)
10769
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wenzelm
parents:
diff changeset
   375
    |> #1;
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wenzelm
parents:
diff changeset
   376
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   377
(*Make all TVars available for instantiation by adding a ? to the front*)
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wenzelm
parents:
diff changeset
   378
fun poly_tvars (Type(a,Ts)) = Type(a, map (poly_tvars) Ts)
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wenzelm
parents:
diff changeset
   379
  | poly_tvars (TFree (a,sort)) = TVar (("?" ^ a, 0), sort)
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wenzelm
parents:
diff changeset
   380
  | poly_tvars (TVar ((a,i),sort)) = TVar (("?" ^ a, i+1), sort);
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wenzelm
parents:
diff changeset
   381
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wenzelm
parents:
diff changeset
   382
local val f_eq_wfrec_R_M =
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wenzelm
parents:
diff changeset
   383
           #ant(S.dest_imp(#2(S.strip_forall (concl Thms.WFREC_COROLLARY))))
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wenzelm
parents:
diff changeset
   384
      val {lhs=f, rhs} = S.dest_eq f_eq_wfrec_R_M
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wenzelm
parents:
diff changeset
   385
      val (fname,_) = dest_Free f
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wenzelm
parents:
diff changeset
   386
      val (wfrec,_) = S.strip_comb rhs
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wenzelm
parents:
diff changeset
   387
in
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   388
fun wfrec_definition0 thy fid R (functional as Abs(x, Ty, _)) =
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   389
 let val def_name = if x<>fid then
10769
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wenzelm
parents:
diff changeset
   390
                        raise TFL_ERR "wfrec_definition0"
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wenzelm
parents:
diff changeset
   391
                                      ("Expected a definition of " ^
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wenzelm
parents:
diff changeset
   392
                                             quote fid ^ " but found one of " ^
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   393
                                      quote x)
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   394
                    else x ^ "_def"
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   395
     val wfrec_R_M =  map_term_types poly_tvars
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wenzelm
parents:
diff changeset
   396
                          (wfrec $ map_term_types poly_tvars R)
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wenzelm
parents:
diff changeset
   397
                      $ functional
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   398
     val def_term = mk_const_def (Theory.sign_of thy) (x, Ty, wfrec_R_M)
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   399
     val (thy', [def]) = PureThy.add_defs_i false [Thm.no_attributes (def_name, def_term)] thy
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wenzelm
parents:
diff changeset
   400
 in (thy', def) end;
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wenzelm
parents:
diff changeset
   401
end;
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wenzelm
parents:
diff changeset
   402
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wenzelm
parents:
diff changeset
   403
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   404
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   405
(*---------------------------------------------------------------------------
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wenzelm
parents:
diff changeset
   406
 * This structure keeps track of congruence rules that aren't derived
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wenzelm
parents:
diff changeset
   407
 * from a datatype definition.
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wenzelm
parents:
diff changeset
   408
 *---------------------------------------------------------------------------*)
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wenzelm
parents:
diff changeset
   409
fun extraction_thms thy =
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wenzelm
parents:
diff changeset
   410
 let val {case_rewrites,case_congs} = Thry.extract_info thy
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wenzelm
parents:
diff changeset
   411
 in (case_rewrites, case_congs)
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wenzelm
parents:
diff changeset
   412
 end;
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wenzelm
parents:
diff changeset
   413
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   414
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   415
(*---------------------------------------------------------------------------
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wenzelm
parents:
diff changeset
   416
 * Pair patterns with termination conditions. The full list of patterns for
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wenzelm
parents:
diff changeset
   417
 * a definition is merged with the TCs arising from the user-given clauses.
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wenzelm
parents:
diff changeset
   418
 * There can be fewer clauses than the full list, if the user omitted some
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wenzelm
parents:
diff changeset
   419
 * cases. This routine is used to prepare input for mk_induction.
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wenzelm
parents:
diff changeset
   420
 *---------------------------------------------------------------------------*)
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wenzelm
parents:
diff changeset
   421
fun merge full_pats TCs =
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wenzelm
parents:
diff changeset
   422
let fun insert (p,TCs) =
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wenzelm
parents:
diff changeset
   423
      let fun insrt ((x as (h,[]))::rst) =
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wenzelm
parents:
diff changeset
   424
                 if (p aconv h) then (p,TCs)::rst else x::insrt rst
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wenzelm
parents:
diff changeset
   425
            | insrt (x::rst) = x::insrt rst
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wenzelm
parents:
diff changeset
   426
            | insrt[] = raise TFL_ERR "merge.insert" "pattern not found"
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wenzelm
parents:
diff changeset
   427
      in insrt end
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wenzelm
parents:
diff changeset
   428
    fun pass ([],ptcl_final) = ptcl_final
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wenzelm
parents:
diff changeset
   429
      | pass (ptcs::tcl, ptcl) = pass(tcl, insert ptcs ptcl)
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wenzelm
parents:
diff changeset
   430
in
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wenzelm
parents:
diff changeset
   431
  pass (TCs, map (fn p => (p,[])) full_pats)
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wenzelm
parents:
diff changeset
   432
end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   433
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   434
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   435
fun givens pats = map pat_of (List.filter given pats);
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   436
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   437
fun post_definition meta_tflCongs (theory, (def, pats)) =
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wenzelm
parents:
diff changeset
   438
 let val tych = Thry.typecheck theory
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wenzelm
parents:
diff changeset
   439
     val f = #lhs(S.dest_eq(concl def))
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wenzelm
parents:
diff changeset
   440
     val corollary = R.MATCH_MP Thms.WFREC_COROLLARY def
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   441
     val pats' = List.filter given pats
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   442
     val given_pats = map pat_of pats'
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   443
     val rows = map row_of_pat pats'
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wenzelm
parents:
diff changeset
   444
     val WFR = #ant(S.dest_imp(concl corollary))
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wenzelm
parents:
diff changeset
   445
     val R = #Rand(S.dest_comb WFR)
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wenzelm
parents:
diff changeset
   446
     val corollary' = R.UNDISCH corollary  (* put WF R on assums *)
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wenzelm
parents:
diff changeset
   447
     val corollaries = map (fn pat => R.SPEC (tych pat) corollary')
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wenzelm
parents:
diff changeset
   448
                           given_pats
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wenzelm
parents:
diff changeset
   449
     val (case_rewrites,context_congs) = extraction_thms theory
14219
9fdea25f9ebb added a comment
paulson
parents: 14217
diff changeset
   450
     (*case_ss causes minimal simplification: bodies of case expressions are
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   451
       not simplified. Otherwise large examples (Red-Black trees) are too
14219
9fdea25f9ebb added a comment
paulson
parents: 14217
diff changeset
   452
       slow.*)
14217
9f5679e97eac Fixed inefficiency in post_definition by adding weak case congruence
berghofe
parents: 12902
diff changeset
   453
     val case_ss = HOL_basic_ss addcongs
9f5679e97eac Fixed inefficiency in post_definition by adding weak case congruence
berghofe
parents: 12902
diff changeset
   454
       DatatypePackage.weak_case_congs_of theory addsimps case_rewrites
9f5679e97eac Fixed inefficiency in post_definition by adding weak case congruence
berghofe
parents: 12902
diff changeset
   455
     val corollaries' = map (Simplifier.simplify case_ss) corollaries
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   456
     val extract = R.CONTEXT_REWRITE_RULE
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wenzelm
parents:
diff changeset
   457
                     (f, [R], cut_apply, meta_tflCongs@context_congs)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   458
     val (rules, TCs) = ListPair.unzip (map extract corollaries')
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   459
     val rules0 = map (rewrite_rule [Thms.CUT_DEF]) rules
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   460
     val mk_cond_rule = R.FILTER_DISCH_ALL(not o curry (op aconv) WFR)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   461
     val rules1 = R.LIST_CONJ(map mk_cond_rule rules0)
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wenzelm
parents:
diff changeset
   462
 in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   463
 {theory = theory,
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wenzelm
parents:
diff changeset
   464
  rules = rules1,
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wenzelm
parents:
diff changeset
   465
  rows = rows,
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   466
  full_pats_TCs = merge (map pat_of pats) (ListPair.zip (given_pats, TCs)),
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wenzelm
parents:
diff changeset
   467
  TCs = TCs}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   468
 end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   469
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   470
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   471
(*---------------------------------------------------------------------------
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wenzelm
parents:
diff changeset
   472
 * Perform the extraction without making the definition. Definition and
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   473
 * extraction commute for the non-nested case.  (Deferred recdefs)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   474
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   475
 * The purpose of wfrec_eqns is merely to instantiate the recursion theorem
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   476
 * and extract termination conditions: no definition is made.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   477
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   478
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   479
fun wfrec_eqns thy fid tflCongs eqns =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   480
 let val {lhs,rhs} = S.dest_eq (hd eqns)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   481
     val (f,args) = S.strip_comb lhs
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   482
     val (fname,fty) = dest_atom f
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   483
     val (SV,a) = front_last args    (* SV = schematic variables *)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   484
     val g = list_comb(f,SV)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   485
     val h = Free(fname,type_of g)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   486
     val eqns1 = map (subst_free[(g,h)]) eqns
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   487
     val {functional as Abs(x, Ty, _),  pats} = mk_functional thy eqns1
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   488
     val given_pats = givens pats
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   489
     (* val f = Free(x,Ty) *)
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   490
     val Type("fun", [f_dty, f_rty]) = Ty
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   491
     val dummy = if x<>fid then
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   492
                        raise TFL_ERR "wfrec_eqns"
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   493
                                      ("Expected a definition of " ^
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   494
                                      quote fid ^ " but found one of " ^
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   495
                                      quote x)
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   496
                 else ()
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   497
     val (case_rewrites,context_congs) = extraction_thms thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   498
     val tych = Thry.typecheck thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   499
     val WFREC_THM0 = R.ISPEC (tych functional) Thms.WFREC_COROLLARY
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   500
     val Const("All",_) $ Abs(Rname,Rtype,_) = concl WFREC_THM0
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   501
     val R = Free (variant (foldr add_term_names [] eqns) Rname,
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   502
                   Rtype)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   503
     val WFREC_THM = R.ISPECL [tych R, tych g] WFREC_THM0
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   504
     val ([proto_def, WFR],_) = S.strip_imp(concl WFREC_THM)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   505
     val dummy =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   506
           if !trace then
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   507
               writeln ("ORIGINAL PROTO_DEF: " ^
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   508
                          Sign.string_of_term (Theory.sign_of thy) proto_def)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   509
           else ()
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   510
     val R1 = S.rand WFR
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   511
     val corollary' = R.UNDISCH(R.UNDISCH WFREC_THM)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   512
     val corollaries = map (fn pat => R.SPEC (tych pat) corollary') given_pats
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   513
     val corollaries' = map (rewrite_rule case_rewrites) corollaries
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   514
     fun extract X = R.CONTEXT_REWRITE_RULE
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   515
                       (f, R1::SV, cut_apply, tflCongs@context_congs) X
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   516
 in {proto_def = proto_def,
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   517
     SV=SV,
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   518
     WFR=WFR,
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   519
     pats=pats,
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   520
     extracta = map extract corollaries'}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   521
 end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   522
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   523
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   524
(*---------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   525
 * Define the constant after extracting the termination conditions. The
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   526
 * wellfounded relation used in the definition is computed by using the
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   527
 * choice operator on the extracted conditions (plus the condition that
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   528
 * such a relation must be wellfounded).
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   529
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   530
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   531
fun lazyR_def thy fid tflCongs eqns =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   532
 let val {proto_def,WFR,pats,extracta,SV} =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   533
           wfrec_eqns thy fid tflCongs eqns
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   534
     val R1 = S.rand WFR
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   535
     val f = #lhs(S.dest_eq proto_def)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   536
     val (extractants,TCl) = ListPair.unzip extracta
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   537
     val dummy = if !trace
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   538
                 then (writeln "Extractants = ";
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   539
                       prths extractants;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   540
                       ())
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   541
                 else ()
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   542
     val TCs = foldr (gen_union (op aconv)) [] TCl
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   543
     val full_rqt = WFR::TCs
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   544
     val R' = S.mk_select{Bvar=R1, Body=S.list_mk_conj full_rqt}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   545
     val R'abs = S.rand R'
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   546
     val proto_def' = subst_free[(R1,R')] proto_def
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   547
     val dummy = if !trace then writeln ("proto_def' = " ^
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   548
                                         Sign.string_of_term
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   549
                                         (Theory.sign_of thy) proto_def')
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   550
                           else ()
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   551
     val {lhs,rhs} = S.dest_eq proto_def'
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   552
     val (c,args) = S.strip_comb lhs
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   553
     val (name,Ty) = dest_atom c
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   554
     val defn = mk_const_def (Theory.sign_of thy)
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   555
                 (name, Ty, S.list_mk_abs (args,rhs))
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   556
     val (theory, [def0]) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   557
       thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   558
       |> PureThy.add_defs_i false
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   559
            [Thm.no_attributes (fid ^ "_def", defn)]
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   560
     val def = freezeT def0;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   561
     val dummy = if !trace then writeln ("DEF = " ^ string_of_thm def)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   562
                           else ()
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   563
     (* val fconst = #lhs(S.dest_eq(concl def))  *)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   564
     val tych = Thry.typecheck theory
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   565
     val full_rqt_prop = map (Dcterm.mk_prop o tych) full_rqt
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   566
         (*lcp: a lot of object-logic inference to remove*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   567
     val baz = R.DISCH_ALL
16853
33b886cbdc8f replaced itlist by fold_rev;
wenzelm
parents: 16505
diff changeset
   568
                 (fold_rev R.DISCH full_rqt_prop
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   569
                  (R.LIST_CONJ extractants))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   570
     val dum = if !trace then writeln ("baz = " ^ string_of_thm baz)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   571
                           else ()
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   572
     val f_free = Free (fid, fastype_of f)  (*'cos f is a Const*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   573
     val SV' = map tych SV;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   574
     val SVrefls = map reflexive SV'
16853
33b886cbdc8f replaced itlist by fold_rev;
wenzelm
parents: 16505
diff changeset
   575
     val def0 = (fold (fn x => fn th => R.rbeta(combination th x))
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   576
                   SVrefls def)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   577
                RS meta_eq_to_obj_eq
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   578
     val def' = R.MP (R.SPEC (tych R') (R.GEN (tych R1) baz)) def0
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   579
     val body_th = R.LIST_CONJ (map R.ASSUME full_rqt_prop)
11455
e07927b980ec defer_recdef (lazyR_def) now looks for theorem Hilbert_Choice.tfl_some
paulson
parents: 10769
diff changeset
   580
     val SELECT_AX = (*in this way we hope to avoid a STATIC dependence upon
e07927b980ec defer_recdef (lazyR_def) now looks for theorem Hilbert_Choice.tfl_some
paulson
parents: 10769
diff changeset
   581
                       theory Hilbert_Choice*)
16505
c4b2e3cd84ab avoid identifier 'Name';
wenzelm
parents: 15574
diff changeset
   582
         thm "Hilbert_Choice.tfl_some"
11455
e07927b980ec defer_recdef (lazyR_def) now looks for theorem Hilbert_Choice.tfl_some
paulson
parents: 10769
diff changeset
   583
         handle ERROR => error
e07927b980ec defer_recdef (lazyR_def) now looks for theorem Hilbert_Choice.tfl_some
paulson
parents: 10769
diff changeset
   584
    "defer_recdef requires theory Main or at least Hilbert_Choice as parent"
e07927b980ec defer_recdef (lazyR_def) now looks for theorem Hilbert_Choice.tfl_some
paulson
parents: 10769
diff changeset
   585
     val bar = R.MP (R.ISPECL[tych R'abs, tych R1] SELECT_AX) body_th
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   586
 in {theory = theory, R=R1, SV=SV,
16853
33b886cbdc8f replaced itlist by fold_rev;
wenzelm
parents: 16505
diff changeset
   587
     rules = fold (U.C R.MP) (R.CONJUNCTS bar) def',
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   588
     full_pats_TCs = merge (map pat_of pats) (ListPair.zip (givens pats, TCl)),
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   589
     patterns = pats}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   590
 end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   591
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   592
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   593
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   594
(*----------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   595
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   596
 *                           INDUCTION THEOREM
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   597
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   598
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   599
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   600
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   601
(*------------------------  Miscellaneous function  --------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   602
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   603
 *           [x_1,...,x_n]     ?v_1...v_n. M[v_1,...,v_n]
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   604
 *     -----------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   605
 *     ( M[x_1,...,x_n], [(x_i,?v_1...v_n. M[v_1,...,v_n]),
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   606
 *                        ...
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   607
 *                        (x_j,?v_n. M[x_1,...,x_(n-1),v_n])] )
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   608
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   609
 * This function is totally ad hoc. Used in the production of the induction
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   610
 * theorem. The nchotomy theorem can have clauses that look like
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   611
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   612
 *     ?v1..vn. z = C vn..v1
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   613
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   614
 * in which the order of quantification is not the order of occurrence of the
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   615
 * quantified variables as arguments to C. Since we have no control over this
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   616
 * aspect of the nchotomy theorem, we make the correspondence explicit by
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   617
 * pairing the incoming new variable with the term it gets beta-reduced into.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   618
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   619
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   620
fun alpha_ex_unroll (xlist, tm) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   621
  let val (qvars,body) = S.strip_exists tm
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   622
      val vlist = #2(S.strip_comb (S.rhs body))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   623
      val plist = ListPair.zip (vlist, xlist)
17314
04e21a27c0ad introduces some modern-style AList operations
haftmann
parents: 16853
diff changeset
   624
      val args = map (the o AList.lookup (op aconv) plist) qvars
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14820
diff changeset
   625
                   handle Option => sys_error
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   626
                       "TFL fault [alpha_ex_unroll]: no correspondence"
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   627
      fun build ex      []   = []
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   628
        | build (_$rex) (v::rst) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   629
           let val ex1 = betapply(rex, v)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   630
           in  ex1 :: build ex1 rst
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   631
           end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   632
     val (nex::exl) = rev (tm::build tm args)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   633
  in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   634
  (nex, ListPair.zip (args, rev exl))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   635
  end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   636
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   637
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   638
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   639
(*----------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   640
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   641
 *             PROVING COMPLETENESS OF PATTERNS
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   642
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   643
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   644
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   645
fun mk_case ty_info usednames thy =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   646
 let
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   647
 val divide = ipartition (gvvariant usednames)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   648
 val tych = Thry.typecheck thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   649
 fun tych_binding(x,y) = (tych x, tych y)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   650
 fun fail s = raise TFL_ERR "mk_case" s
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   651
 fun mk{rows=[],...} = fail"no rows"
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   652
   | mk{path=[], rows = [([], (thm, bindings))]} =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   653
                         R.IT_EXISTS (map tych_binding bindings) thm
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   654
   | mk{path = u::rstp, rows as (p::_, _)::_} =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   655
     let val (pat_rectangle,rights) = ListPair.unzip rows
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   656
         val col0 = map hd pat_rectangle
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   657
         val pat_rectangle' = map tl pat_rectangle
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   658
     in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   659
     if (forall is_Free col0) (* column 0 is all variables *)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   660
     then let val rights' = map (fn ((thm,theta),v) => (thm,theta@[(u,v)]))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   661
                                (ListPair.zip (rights, col0))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   662
          in mk{path = rstp, rows = ListPair.zip (pat_rectangle', rights')}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   663
          end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   664
     else                     (* column 0 is all constructors *)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   665
     let val Type (ty_name,_) = type_of p
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   666
     in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   667
     case (ty_info ty_name)
15531
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14820
diff changeset
   668
     of NONE => fail("Not a known datatype: "^ty_name)
08c8dad8e399 Deleted Library.option type.
skalberg
parents: 14820
diff changeset
   669
      | SOME{constructors,nchotomy} =>
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   670
        let val thm' = R.ISPEC (tych u) nchotomy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   671
            val disjuncts = S.strip_disj (concl thm')
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   672
            val subproblems = divide(constructors, rows)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   673
            val groups      = map #group subproblems
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   674
            and new_formals = map #new_formals subproblems
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   675
            val existentials = ListPair.map alpha_ex_unroll
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   676
                                   (new_formals, disjuncts)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   677
            val constraints = map #1 existentials
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   678
            val vexl = map #2 existentials
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   679
            fun expnd tm (pats,(th,b)) = (pats,(R.SUBS[R.ASSUME(tych tm)]th,b))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   680
            val news = map (fn (nf,rows,c) => {path = nf@rstp,
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   681
                                               rows = map (expnd c) rows})
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   682
                           (U.zip3 new_formals groups constraints)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   683
            val recursive_thms = map mk news
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   684
            val build_exists = Library.foldr
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   685
                                (fn((x,t), th) =>
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   686
                                 R.CHOOSE (tych x, R.ASSUME (tych t)) th)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   687
            val thms' = ListPair.map build_exists (vexl, recursive_thms)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   688
            val same_concls = R.EVEN_ORS thms'
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   689
        in R.DISJ_CASESL thm' same_concls
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   690
        end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   691
     end end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   692
 in mk
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   693
 end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   694
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   695
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   696
fun complete_cases thy =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   697
 let val tych = Thry.typecheck thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   698
     val ty_info = Thry.induct_info thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   699
 in fn pats =>
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   700
 let val names = foldr add_term_names [] pats
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   701
     val T = type_of (hd pats)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   702
     val aname = Term.variant names "a"
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   703
     val vname = Term.variant (aname::names) "v"
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   704
     val a = Free (aname, T)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   705
     val v = Free (vname, T)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   706
     val a_eq_v = HOLogic.mk_eq(a,v)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   707
     val ex_th0 = R.EXISTS (tych (S.mk_exists{Bvar=v,Body=a_eq_v}), tych a)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   708
                           (R.REFL (tych a))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   709
     val th0 = R.ASSUME (tych a_eq_v)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   710
     val rows = map (fn x => ([x], (th0,[]))) pats
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   711
 in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   712
 R.GEN (tych a)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   713
       (R.RIGHT_ASSOC
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   714
          (R.CHOOSE(tych v, ex_th0)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   715
                (mk_case ty_info (vname::aname::names)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   716
                 thy {path=[v], rows=rows})))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   717
 end end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   718
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   719
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   720
(*---------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   721
 * Constructing induction hypotheses: one for each recursive call.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   722
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   723
 * Note. R will never occur as a variable in the ind_clause, because
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   724
 * to do so, it would have to be from a nested definition, and we don't
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   725
 * allow nested defns to have R variable.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   726
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   727
 * Note. When the context is empty, there can be no local variables.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   728
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   729
(*
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   730
local infix 5 ==>
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   731
      fun (tm1 ==> tm2) = S.mk_imp{ant = tm1, conseq = tm2}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   732
in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   733
fun build_ih f P (pat,TCs) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   734
 let val globals = S.free_vars_lr pat
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   735
     fun nested tm = isSome (S.find_term (curry (op aconv) f) tm)
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   736
     fun dest_TC tm =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   737
         let val (cntxt,R_y_pat) = S.strip_imp(#2(S.strip_forall tm))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   738
             val (R,y,_) = S.dest_relation R_y_pat
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   739
             val P_y = if (nested tm) then R_y_pat ==> P$y else P$y
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   740
         in case cntxt
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   741
              of [] => (P_y, (tm,[]))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   742
               | _  => let
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   743
                    val imp = S.list_mk_conj cntxt ==> P_y
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   744
                    val lvs = gen_rems (op aconv) (S.free_vars_lr imp, globals)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   745
                    val locals = #2(U.pluck (curry (op aconv) P) lvs) handle U.ERR _ => lvs
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   746
                    in (S.list_mk_forall(locals,imp), (tm,locals)) end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   747
         end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   748
 in case TCs
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   749
    of [] => (S.list_mk_forall(globals, P$pat), [])
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   750
     |  _ => let val (ihs, TCs_locals) = ListPair.unzip(map dest_TC TCs)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   751
                 val ind_clause = S.list_mk_conj ihs ==> P$pat
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   752
             in (S.list_mk_forall(globals,ind_clause), TCs_locals)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   753
             end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   754
 end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   755
end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   756
*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   757
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   758
local infix 5 ==>
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   759
      fun (tm1 ==> tm2) = S.mk_imp{ant = tm1, conseq = tm2}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   760
in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   761
fun build_ih f (P,SV) (pat,TCs) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   762
 let val pat_vars = S.free_vars_lr pat
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   763
     val globals = pat_vars@SV
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   764
     fun nested tm = isSome (S.find_term (curry (op aconv) f) tm)
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   765
     fun dest_TC tm =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   766
         let val (cntxt,R_y_pat) = S.strip_imp(#2(S.strip_forall tm))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   767
             val (R,y,_) = S.dest_relation R_y_pat
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   768
             val P_y = if (nested tm) then R_y_pat ==> P$y else P$y
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   769
         in case cntxt
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   770
              of [] => (P_y, (tm,[]))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   771
               | _  => let
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   772
                    val imp = S.list_mk_conj cntxt ==> P_y
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   773
                    val lvs = gen_rems (op aconv) (S.free_vars_lr imp, globals)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   774
                    val locals = #2(U.pluck (curry (op aconv) P) lvs) handle U.ERR _ => lvs
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   775
                    in (S.list_mk_forall(locals,imp), (tm,locals)) end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   776
         end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   777
 in case TCs
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   778
    of [] => (S.list_mk_forall(pat_vars, P$pat), [])
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   779
     |  _ => let val (ihs, TCs_locals) = ListPair.unzip(map dest_TC TCs)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   780
                 val ind_clause = S.list_mk_conj ihs ==> P$pat
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   781
             in (S.list_mk_forall(pat_vars,ind_clause), TCs_locals)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   782
             end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   783
 end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   784
end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   785
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   786
(*---------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   787
 * This function makes good on the promise made in "build_ih".
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   788
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   789
 * Input  is tm = "(!y. R y pat ==> P y) ==> P pat",
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   790
 *           TCs = TC_1[pat] ... TC_n[pat]
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   791
 *           thm = ih1 /\ ... /\ ih_n |- ih[pat]
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   792
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   793
fun prove_case f thy (tm,TCs_locals,thm) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   794
 let val tych = Thry.typecheck thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   795
     val antc = tych(#ant(S.dest_imp tm))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   796
     val thm' = R.SPEC_ALL thm
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   797
     fun nested tm = isSome (S.find_term (curry (op aconv) f) tm)
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   798
     fun get_cntxt TC = tych(#ant(S.dest_imp(#2(S.strip_forall(concl TC)))))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   799
     fun mk_ih ((TC,locals),th2,nested) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   800
         R.GENL (map tych locals)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   801
            (if nested then R.DISCH (get_cntxt TC) th2 handle U.ERR _ => th2
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   802
             else if S.is_imp (concl TC) then R.IMP_TRANS TC th2
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   803
             else R.MP th2 TC)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   804
 in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   805
 R.DISCH antc
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   806
 (if S.is_imp(concl thm') (* recursive calls in this clause *)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   807
  then let val th1 = R.ASSUME antc
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   808
           val TCs = map #1 TCs_locals
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   809
           val ylist = map (#2 o S.dest_relation o #2 o S.strip_imp o
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   810
                            #2 o S.strip_forall) TCs
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   811
           val TClist = map (fn(TC,lvs) => (R.SPEC_ALL(R.ASSUME(tych TC)),lvs))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   812
                            TCs_locals
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   813
           val th2list = map (U.C R.SPEC th1 o tych) ylist
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   814
           val nlist = map nested TCs
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   815
           val triples = U.zip3 TClist th2list nlist
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   816
           val Pylist = map mk_ih triples
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   817
       in R.MP thm' (R.LIST_CONJ Pylist) end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   818
  else thm')
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   819
 end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   820
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   821
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   822
(*---------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   823
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   824
 *         x = (v1,...,vn)  |- M[x]
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   825
 *    ---------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   826
 *      ?v1 ... vn. x = (v1,...,vn) |- M[x]
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   827
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   828
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   829
fun LEFT_ABS_VSTRUCT tych thm =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   830
  let fun CHOOSER v (tm,thm) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   831
        let val ex_tm = S.mk_exists{Bvar=v,Body=tm}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   832
        in (ex_tm, R.CHOOSE(tych v, R.ASSUME (tych ex_tm)) thm)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   833
        end
15570
8d8c70b41bab Move towards standard functions.
skalberg
parents: 15531
diff changeset
   834
      val [veq] = List.filter (can S.dest_eq) (#1 (R.dest_thm thm))
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   835
      val {lhs,rhs} = S.dest_eq veq
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   836
      val L = S.free_vars_lr rhs
16853
33b886cbdc8f replaced itlist by fold_rev;
wenzelm
parents: 16505
diff changeset
   837
  in  #2 (fold_rev CHOOSER L (veq,thm))  end;
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   838
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   839
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   840
(*----------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   841
 * Input : f, R,  and  [(pat1,TCs1),..., (patn,TCsn)]
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   842
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   843
 * Instantiates WF_INDUCTION_THM, getting Sinduct and then tries to prove
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   844
 * recursion induction (Rinduct) by proving the antecedent of Sinduct from
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   845
 * the antecedent of Rinduct.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   846
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   847
fun mk_induction thy {fconst, R, SV, pat_TCs_list} =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   848
let val tych = Thry.typecheck thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   849
    val Sinduction = R.UNDISCH (R.ISPEC (tych R) Thms.WF_INDUCTION_THM)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   850
    val (pats,TCsl) = ListPair.unzip pat_TCs_list
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   851
    val case_thm = complete_cases thy pats
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   852
    val domain = (type_of o hd) pats
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   853
    val Pname = Term.variant (foldr (Library.foldr add_term_names)
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   854
                              [] (pats::TCsl)) "P"
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   855
    val P = Free(Pname, domain --> HOLogic.boolT)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   856
    val Sinduct = R.SPEC (tych P) Sinduction
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   857
    val Sinduct_assumf = S.rand ((#ant o S.dest_imp o concl) Sinduct)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   858
    val Rassums_TCl' = map (build_ih fconst (P,SV)) pat_TCs_list
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   859
    val (Rassums,TCl') = ListPair.unzip Rassums_TCl'
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   860
    val Rinduct_assum = R.ASSUME (tych (S.list_mk_conj Rassums))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   861
    val cases = map (fn pat => betapply (Sinduct_assumf, pat)) pats
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   862
    val tasks = U.zip3 cases TCl' (R.CONJUNCTS Rinduct_assum)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   863
    val proved_cases = map (prove_case fconst thy) tasks
15574
b1d1b5bfc464 Removed practically all references to Library.foldr.
skalberg
parents: 15570
diff changeset
   864
    val v = Free (variant (foldr add_term_names [] (map concl proved_cases))
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   865
                    "v",
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   866
                  domain)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   867
    val vtyped = tych v
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   868
    val substs = map (R.SYM o R.ASSUME o tych o (curry HOLogic.mk_eq v)) pats
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   869
    val proved_cases1 = ListPair.map (fn (th,th') => R.SUBS[th]th')
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   870
                          (substs, proved_cases)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   871
    val abs_cases = map (LEFT_ABS_VSTRUCT tych) proved_cases1
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   872
    val dant = R.GEN vtyped (R.DISJ_CASESL (R.ISPEC vtyped case_thm) abs_cases)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   873
    val dc = R.MP Sinduct dant
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   874
    val Parg_ty = type_of(#Bvar(S.dest_forall(concl dc)))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   875
    val vars = map (gvvariant[Pname]) (S.strip_prod_type Parg_ty)
16853
33b886cbdc8f replaced itlist by fold_rev;
wenzelm
parents: 16505
diff changeset
   876
    val dc' = fold_rev (R.GEN o tych) vars
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   877
                       (R.SPEC (tych(S.mk_vstruct Parg_ty vars)) dc)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   878
in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   879
   R.GEN (tych P) (R.DISCH (tych(concl Rinduct_assum)) dc')
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   880
end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   881
handle U.ERR _ => raise TFL_ERR "mk_induction" "failed derivation";
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   882
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   883
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   884
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   885
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   886
(*---------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   887
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   888
 *                        POST PROCESSING
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   889
 *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   890
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   891
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   892
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   893
fun simplify_induction thy hth ind =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   894
  let val tych = Thry.typecheck thy
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   895
      val (asl,_) = R.dest_thm ind
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   896
      val (_,tc_eq_tc') = R.dest_thm hth
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   897
      val tc = S.lhs tc_eq_tc'
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   898
      fun loop [] = ind
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   899
        | loop (asm::rst) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   900
          if (can (Thry.match_term thy asm) tc)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   901
          then R.UNDISCH
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   902
                 (R.MATCH_MP
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   903
                     (R.MATCH_MP Thms.simp_thm (R.DISCH (tych asm) ind))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   904
                     hth)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   905
         else loop rst
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   906
  in loop asl
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   907
end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   908
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   909
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   910
(*---------------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   911
 * The termination condition is an antecedent to the rule, and an
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   912
 * assumption to the theorem.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   913
 *---------------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   914
fun elim_tc tcthm (rule,induction) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   915
   (R.MP rule tcthm, R.PROVE_HYP tcthm induction)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   916
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   917
14240
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   918
fun trace_thms s L =
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   919
  if !trace then writeln (cat_lines (s :: map string_of_thm L))
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   920
  else ();
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   921
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   922
fun trace_cterms s L =
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   923
  if !trace then writeln (cat_lines (s :: map string_of_cterm L))
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   924
  else ();;
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   925
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   926
11632
6fc8de600f58 prove: ``strict'' argument;
wenzelm
parents: 11455
diff changeset
   927
fun postprocess strict {wf_tac, terminator, simplifier} theory {rules,induction,TCs} =
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   928
let val tych = Thry.typecheck theory
11632
6fc8de600f58 prove: ``strict'' argument;
wenzelm
parents: 11455
diff changeset
   929
    val prove = R.prove strict;
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   930
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   931
   (*---------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   932
    * Attempt to eliminate WF condition. It's the only assumption of rules
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   933
    *---------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   934
   val (rules1,induction1)  =
11632
6fc8de600f58 prove: ``strict'' argument;
wenzelm
parents: 11455
diff changeset
   935
       let val thm = prove(tych(HOLogic.mk_Trueprop
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   936
                                  (hd(#1(R.dest_thm rules)))),
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   937
                             wf_tac)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   938
       in (R.PROVE_HYP thm rules,  R.PROVE_HYP thm induction)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   939
       end handle U.ERR _ => (rules,induction);
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   940
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   941
   (*----------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   942
    * The termination condition (tc) is simplified to |- tc = tc' (there
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   943
    * might not be a change!) and then 3 attempts are made:
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   944
    *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   945
    *   1. if |- tc = T, then eliminate it with eqT; otherwise,
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   946
    *   2. apply the terminator to tc'. If |- tc' = T then eliminate; else
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   947
    *   3. replace tc by tc' in both the rules and the induction theorem.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   948
    *---------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   949
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   950
   fun simplify_tc tc (r,ind) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   951
       let val tc1 = tych tc
14240
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   952
           val _ = trace_cterms "TC before simplification: " [tc1]
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   953
           val tc_eq = simplifier tc1
14240
d3843feb9de7 improved tracing
paulson
parents: 14219
diff changeset
   954
           val _ = trace_thms "result: " [tc_eq]
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   955
       in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   956
       elim_tc (R.MATCH_MP Thms.eqT tc_eq) (r,ind)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   957
       handle U.ERR _ =>
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   958
        (elim_tc (R.MATCH_MP(R.MATCH_MP Thms.rev_eq_mp tc_eq)
11632
6fc8de600f58 prove: ``strict'' argument;
wenzelm
parents: 11455
diff changeset
   959
                  (prove(tych(HOLogic.mk_Trueprop(S.rhs(concl tc_eq))),
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   960
                           terminator)))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   961
                 (r,ind)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   962
         handle U.ERR _ =>
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   963
          (R.UNDISCH(R.MATCH_MP (R.MATCH_MP Thms.simp_thm r) tc_eq),
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   964
           simplify_induction theory tc_eq ind))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   965
       end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   966
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   967
   (*----------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   968
    * Nested termination conditions are harder to get at, since they are
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   969
    * left embedded in the body of the function (and in induction
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   970
    * theorem hypotheses). Our "solution" is to simplify them, and try to
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   971
    * prove termination, but leave the application of the resulting theorem
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   972
    * to a higher level. So things go much as in "simplify_tc": the
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   973
    * termination condition (tc) is simplified to |- tc = tc' (there might
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   974
    * not be a change) and then 2 attempts are made:
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   975
    *
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   976
    *   1. if |- tc = T, then return |- tc; otherwise,
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   977
    *   2. apply the terminator to tc'. If |- tc' = T then return |- tc; else
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   978
    *   3. return |- tc = tc'
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   979
    *---------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   980
   fun simplify_nested_tc tc =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   981
      let val tc_eq = simplifier (tych (#2 (S.strip_forall tc)))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   982
      in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   983
      R.GEN_ALL
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   984
       (R.MATCH_MP Thms.eqT tc_eq
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   985
        handle U.ERR _ =>
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   986
          (R.MATCH_MP(R.MATCH_MP Thms.rev_eq_mp tc_eq)
11632
6fc8de600f58 prove: ``strict'' argument;
wenzelm
parents: 11455
diff changeset
   987
                      (prove(tych(HOLogic.mk_Trueprop (S.rhs(concl tc_eq))),
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   988
                               terminator))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   989
            handle U.ERR _ => tc_eq))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   990
      end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   991
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   992
   (*-------------------------------------------------------------------
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   993
    * Attempt to simplify the termination conditions in each rule and
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   994
    * in the induction theorem.
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   995
    *-------------------------------------------------------------------*)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   996
   fun strip_imp tm = if S.is_neg tm then ([],tm) else S.strip_imp tm
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   997
   fun loop ([],extras,R,ind) = (rev R, ind, extras)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   998
     | loop ((r,ftcs)::rst, nthms, R, ind) =
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
   999
        let val tcs = #1(strip_imp (concl r))
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1000
            val extra_tcs = gen_rems (op aconv) (ftcs, tcs)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1001
            val extra_tc_thms = map simplify_nested_tc extra_tcs
16853
33b886cbdc8f replaced itlist by fold_rev;
wenzelm
parents: 16505
diff changeset
  1002
            val (r1,ind1) = fold simplify_tc tcs (r,ind)
10769
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1003
            val r2 = R.FILTER_DISCH_ALL(not o S.is_WFR) r1
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1004
        in loop(rst, nthms@extra_tc_thms, r2::R, ind1)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1005
        end
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1006
   val rules_tcs = ListPair.zip (R.CONJUNCTS rules1, TCs)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1007
   val (rules2,ind2,extras) = loop(rules_tcs,[],[],induction1)
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1008
in
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1009
  {induction = ind2, rules = R.LIST_CONJ rules2, nested_tcs = extras}
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1010
end;
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1011
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1012
70b9b0cfe05f renamed .sml files to .ML;
wenzelm
parents:
diff changeset
  1013
end;