TFL/tfl.sml
author paulson
Tue, 27 May 1997 13:22:30 +0200
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child 3379 7091ffa99c93
permissions -rw-r--r--
Removal of module Mask and datatype binding with its constructor |->
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(*  Title:      TFL/tfl
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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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Main TFL functor
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*)
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functor TFL(structure Rules : Rules_sig
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            structure Thry  : Thry_sig
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            structure Thms  : Thms_sig) : TFL_sig  =
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struct
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(* Declarations *)
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structure Thms = Thms;
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structure Rules = Rules;
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structure Thry = Thry;
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structure USyntax = Thry.USyntax;
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(* Abbreviations *)
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structure R = Rules;
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structure S = USyntax;
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structure U = S.Utils;
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nonfix mem -->;
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val --> = S.-->;
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infixr 3 -->;
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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 gtake f =
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  let fun grab(0,rst) = ([],rst)
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        | grab(n, x::rst) = 
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             let val (taken,left) = grab(n-1,rst)
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             in (f x::taken, left) end
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  in grab
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  end;
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fun enumerate L = 
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 rev(#1(U.rev_itlist (fn x => fn (alist,i) => ((x,i)::alist, i+1)) L ([],0)));
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fun stringize [] = ""
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  | stringize [i] = Int.toString i
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  | stringize (h::t) = (Int.toString h^", "^stringize t);
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fun TFL_ERR{func,mesg} = U.ERR{module = "Tfl", func = func, mesg = mesg};
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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 vlist.  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 vlist =
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  let val slist = ref (map (#1 o dest_Free) vlist)
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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 := 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{func = "partition.part", mesg = 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 {Name,Ty} = S.dest_const c
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              val (L,_) = S.strip_type Ty
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              val (in_group, not_in_group) =
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               U.itlist (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 (#Name(S.dest_const pc) = Name)
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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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 * This datatype carries some information about the origin of a
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 * clause in a function definition.
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 *---------------------------------------------------------------------------*)
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datatype pattern = GIVEN   of term * int
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                 | OMITTED of term * int
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fun psubst theta (GIVEN (tm,i)) = GIVEN(subst_free theta tm, i)
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  | psubst theta (OMITTED (tm,i)) = OMITTED(subst_free theta tm, i);
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fun dest_pattern (GIVEN (tm,i)) = ((GIVEN,i),tm)
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  | dest_pattern (OMITTED (tm,i)) = ((OMITTED,i),tm);
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val pat_of = #2 o dest_pattern;
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val row_of_pat = #2 o #1 o dest_pattern;
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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,...} = S.dest_const c
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      val (L,ty) = S.strip_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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  U.itlist (fn (row as ((prefix, 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 ((#Name(S.dest_const pc) = Name) handle _ => false)
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                  then (((prefix,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{func="partition", mesg="no rows"}
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  | partition gv ty_match
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              (constructors, colty, res_ty, rows as (((prefix,_),_)::_)) =
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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 {Name,Ty} = S.dest_const c'
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             val (in_group, not_in_group) = mk_group Name rows
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             val in_group' =
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                 if (null in_group)  (* Constructor not given *)
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                 then [((prefix, #2(fresh c)), OMITTED (S.ARB res_ty, ~1))]
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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(#1(S.strip_type(type_of c)))
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      fun build (prefix,tag,plist) =
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          let val args   = take (L,plist)
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              and plist' = drop(L,plist)
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          in (prefix,tag,list_comb(c,args)::plist') end
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  in map build l end;
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fun v_to_prefix (prefix, v::pats) = (v::prefix,pats)
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  | v_to_prefix _ = raise TFL_ERR{func="mk_case", mesg="v_to_prefix"};
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fun v_to_pats (v::prefix,tag, pats) = (prefix, tag, v::pats)
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  | v_to_pats _ = raise TFL_ERR{func="mk_case", mesg="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 FV range_ty =
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 let 
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 fun mk_case_fail s = raise TFL_ERR{func = "mk_case", mesg = s}
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 val fresh_var = gvvariant FV 
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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 ((prefix, 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 ((prefix, capp::rst), psubst[(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 = ((prefix, []), rhs)::_} =  (* Done *)
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        let val (tag,tm) = dest_pattern rhs
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        in ([(prefix,tag,[])], tm)
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        end
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   | mk{path=[], rows = _::_} = mk_case_fail"blunder"
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   | mk{path as u::rstp, rows as ((prefix, []), rhs)::rst} = 
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        mk{path = path, 
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           rows = ((prefix, [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) => psubst[(v,u)] e)
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                                (ListPair.zip (col0, rights))
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              val pat_rectangle' = map v_to_prefix 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 val case_const_name = #Name(S.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' = S.mk_const{Name = case_const_name,
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                                         Ty   = 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 v => [S.mk_var v]
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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{func = "FV_multiset", mesg = "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{func = "no_repeat_vars",
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			  mesg = 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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local fun paired1{lhs,rhs} = (lhs,rhs) 
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      and paired2{Rator,Rand} = (Rator,Rand)
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      fun mk_functional_err s = raise TFL_ERR{func = "mk_functional", mesg=s}
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      fun single [f] = f
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        | single fs  = mk_functional_err (Int.toString (length fs) ^ 
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                                          " distinct function names!")
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in
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fun mk_functional thy eqs =
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 let val clauses = S.strip_conj eqs
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     val (L,R) = ListPair.unzip 
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                    (map (paired1 o S.dest_eq o #2 o S.strip_forall)
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                         clauses)
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     val (funcs,pats) = ListPair.unzip(map (paired2 o S.dest_comb) L)
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     val f = single (U.mk_set (S.aconv) funcs)
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     val fvar = if (is_Free f) then f else S.mk_var(S.dest_const f)
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     val dummy = map (no_repeat_vars thy) pats
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     val rows = ListPair.zip (map (fn x => ([],[x])) pats,
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                              map GIVEN (enumerate R))
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     val fvs = S.free_varsl R
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     val a = S.variant fvs (S.mk_var{Name="a", Ty = type_of(hd pats)})
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     val FV = a::fvs
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     val ty_info = Thry.match_info thy
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     val ty_match = Thry.match_type thy
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     val range_ty = type_of (hd R)
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     val (patts, case_tm) = mk_case ty_info ty_match FV range_ty 
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                                    {path=[a], rows=rows}
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     val patts1 = map (fn (_,(tag,i),[pat]) => tag (pat,i)) patts handle _ 
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                  => mk_functional_err "error in pattern-match translation"
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     val patts2 = U.sort(fn p1=>fn p2=> row_of_pat p1 < row_of_pat p2) patts1
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     val finals = map row_of_pat patts2
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     val originals = map (row_of_pat o #2) rows
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     fun int_eq i1 (i2:int) =  (i1=i2)
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     val dummy = case (U.set_diff int_eq originals finals)
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             of [] => ()
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          | L => mk_functional_err("The following rows (counting from zero)\
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                                   \ are inaccessible: "^stringize L)
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     val case_tm' = subst_free [(f,fvar)] case_tm
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 in {functional = S.list_mk_abs ([fvar,a], case_tm'),
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     pats = patts2}
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end end;
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(*----------------------------------------------------------------------------
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 *
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 *                    PRINCIPLES OF DEFINITION
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 *
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 *---------------------------------------------------------------------------*)
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(*---------------------------------------------------------------------------
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 * R is already assumed to be type-copacetic with M
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 *---------------------------------------------------------------------------*)
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local val f_eq_wfrec_R_M = 
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           #ant(S.dest_imp(#2(S.strip_forall (concl Thms.WFREC_COROLLARY))))
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      val {lhs=f, rhs} = S.dest_eq f_eq_wfrec_R_M
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      val (fname,_) = dest_Free f
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      val (wfrec,_) = S.strip_comb rhs
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in
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fun wfrec_definition0 thy fid R functional =
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 let val {Bvar,...} = S.dest_abs functional
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     val (Name, Ty) = dest_Free Bvar  
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     val def_name = if Name<>fid then 
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			raise TFL_ERR{func = "wfrec_definition0",
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				      mesg = "Expected a definition of " ^ 
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					     quote fid ^ " but found one of " ^
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				      quote Name}
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		    else Name ^ "_def"
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     val (_,ty_theta) = Thry.match_term thy f (S.mk_var{Name=fname,Ty=Ty})
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     val wfrec' = S.inst ty_theta wfrec
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     val wfrec_R_M' = list_comb(wfrec',[R,functional])
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     val def_term = HOLogic.mk_eq(Bvar, wfrec_R_M')
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(****************????????????????
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     val wfrec_R_M = wfrec $ R $ functional
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     val (_, def_term, _) = 
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	 Sign.infer_types (sign_of thy) (K None) (K None) [] false
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	           ([HOLogic.mk_eq(Bvar, wfrec_R_M)], HOLogic.boolT)
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****************)
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  in 
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  Thry.make_definition thy def_name def_term
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  end
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end;
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(*---------------------------------------------------------------------------
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 * This structure keeps track of congruence rules that aren't derived
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 * from a datatype definition.
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 *---------------------------------------------------------------------------*)
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structure Context =
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   381
struct
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  val non_datatype_context = ref []: thm list ref
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  fun read() = !non_datatype_context
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   384
  fun write L = (non_datatype_context := L)
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end;
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   386
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   387
fun extraction_thms thy = 
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   388
 let val {case_rewrites,case_congs} = Thry.extract_info thy
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 in (case_rewrites, case_congs@Context.read())
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   390
 end;
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   391
3902e9af752f Konrad Slind's TFL
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   392
3902e9af752f Konrad Slind's TFL
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   393
(*---------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
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   394
 * Pair patterns with termination conditions. The full list of patterns for
3902e9af752f Konrad Slind's TFL
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   395
 * a definition is merged with the TCs arising from the user-given clauses.
3902e9af752f Konrad Slind's TFL
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   396
 * There can be fewer clauses than the full list, if the user omitted some 
3902e9af752f Konrad Slind's TFL
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   397
 * cases. This routine is used to prepare input for mk_induction.
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   398
 *---------------------------------------------------------------------------*)
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   399
fun merge full_pats TCs =
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   400
let fun insert (p,TCs) =
3902e9af752f Konrad Slind's TFL
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   401
      let fun insrt ((x as (h,[]))::rst) = 
3902e9af752f Konrad Slind's TFL
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   402
                 if (S.aconv p h) then (p,TCs)::rst else x::insrt rst
3902e9af752f Konrad Slind's TFL
paulson
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   403
            | insrt (x::rst) = x::insrt rst
3902e9af752f Konrad Slind's TFL
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   404
            | insrt[] = raise TFL_ERR{func="merge.insert",mesg="pat not found"}
3902e9af752f Konrad Slind's TFL
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   405
      in insrt end
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   406
    fun pass ([],ptcl_final) = ptcl_final
3902e9af752f Konrad Slind's TFL
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   407
      | pass (ptcs::tcl, ptcl) = pass(tcl, insert ptcs ptcl)
3902e9af752f Konrad Slind's TFL
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   408
in 
3902e9af752f Konrad Slind's TFL
paulson
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   409
  pass (TCs, map (fn p => (p,[])) full_pats)
3902e9af752f Konrad Slind's TFL
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   410
end;
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   411
3902e9af752f Konrad Slind's TFL
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   412
fun not_omitted (GIVEN(tm,_)) = tm
3902e9af752f Konrad Slind's TFL
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   413
  | not_omitted (OMITTED _) = raise TFL_ERR{func="not_omitted",mesg=""}
3902e9af752f Konrad Slind's TFL
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   414
val givens = U.mapfilter not_omitted;
3902e9af752f Konrad Slind's TFL
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   415
3902e9af752f Konrad Slind's TFL
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   416
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   417
fun post_definition (theory, (def, pats)) =
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   418
 let val tych = Thry.typecheck theory 
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   419
     val f = #lhs(S.dest_eq(concl def))
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   420
     val corollary = R.MATCH_MP Thms.WFREC_COROLLARY def
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   421
     val given_pats = givens pats
3902e9af752f Konrad Slind's TFL
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   422
     val WFR = #ant(S.dest_imp(concl corollary))
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   423
     val R = #Rand(S.dest_comb WFR)
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   424
     val corollary' = R.UNDISCH corollary  (* put WF R on assums *)
3902e9af752f Konrad Slind's TFL
paulson
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diff changeset
   425
     val corollaries = map (U.C R.SPEC corollary' o tych) given_pats
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   426
     val (case_rewrites,context_congs) = extraction_thms theory
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3902e9af752f Konrad Slind's TFL
paulson
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   427
     val corollaries' = map(R.simplify case_rewrites) corollaries
3902e9af752f Konrad Slind's TFL
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diff changeset
   428
     fun xtract th = R.CONTEXT_REWRITE_RULE(f,R)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   429
                         {thms = [(R.ISPECL o map tych)[f,R] Thms.CUT_LEMMA],
3902e9af752f Konrad Slind's TFL
paulson
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diff changeset
   430
                         congs = context_congs,
3902e9af752f Konrad Slind's TFL
paulson
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diff changeset
   431
                            th = th}
3245
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paulson
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diff changeset
   432
     val (rules, TCs) = ListPair.unzip (map xtract corollaries')
2112
3902e9af752f Konrad Slind's TFL
paulson
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diff changeset
   433
     val rules0 = map (R.simplify [Thms.CUT_DEF]) rules
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   434
     val mk_cond_rule = R.FILTER_DISCH_ALL(not o S.aconv WFR)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   435
     val rules1 = R.LIST_CONJ(map mk_cond_rule rules0)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   436
 in
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   437
 {theory = theory,   (* holds def, if it's needed *)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   438
  rules = rules1,
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   439
  full_pats_TCs = merge (map pat_of pats) (ListPair.zip (given_pats, TCs)), 
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   440
  TCs = TCs, 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   441
  patterns = pats}
3902e9af752f Konrad Slind's TFL
paulson
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diff changeset
   442
 end;
3902e9af752f Konrad Slind's TFL
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   443
3902e9af752f Konrad Slind's TFL
paulson
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   444
(*---------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   445
 * Perform the extraction without making the definition. Definition and
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   446
 * extraction commute for the non-nested case. For hol90 users, this 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   447
 * function can be invoked without being in draft mode.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   448
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
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   449
fun wfrec_eqns thy eqns =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   450
 let val {functional,pats} = mk_functional thy eqns
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   451
     val given_pats = givens pats
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   452
     val {Bvar = f, Body} = S.dest_abs functional
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   453
     val {Bvar = x, ...} = S.dest_abs Body
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0bbf06e86c06 Now checks the name of the function being defined;
paulson
parents: 3301
diff changeset
   454
     val (Name, Type("fun", [f_dty, f_rty])) = dest_Free f
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   455
     val (case_rewrites,context_congs) = extraction_thms thy
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   456
     val tych = Thry.typecheck thy
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   457
     val WFREC_THM0 = R.ISPEC (tych functional) Thms.WFREC_COROLLARY
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   458
     val R = S.variant(S.free_vars eqns) 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   459
                      (#Bvar(S.dest_forall(concl WFREC_THM0)))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   460
     val WFREC_THM = R.ISPECL [tych R, tych f] WFREC_THM0
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   461
     val ([proto_def, WFR],_) = S.strip_imp(concl WFREC_THM)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   462
     val R1 = S.rand WFR
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   463
     val corollary' = R.UNDISCH(R.UNDISCH WFREC_THM)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   464
     val corollaries = map (U.C R.SPEC corollary' o tych) given_pats
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   465
     val corollaries' = map (R.simplify case_rewrites) corollaries
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   466
     fun extract th = R.CONTEXT_REWRITE_RULE(f,R1)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   467
                        {thms = [(R.ISPECL o map tych)[f,R1] Thms.CUT_LEMMA], 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   468
                        congs = context_congs,
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   469
                          th  = th}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   470
 in {proto_def=proto_def, 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   471
     WFR=WFR, 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   472
     pats=pats,
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   473
     extracta = map extract corollaries'}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   474
 end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   475
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   476
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   477
(*---------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   478
 * Define the constant after extracting the termination conditions. The 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   479
 * wellfounded relation used in the definition is computed by using the
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   480
 * choice operator on the extracted conditions (plus the condition that
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   481
 * such a relation must be wellfounded).
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   482
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   483
fun lazyR_def thy eqns =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   484
 let val {proto_def,WFR,pats,extracta} = wfrec_eqns thy eqns
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   485
     val R1 = S.rand WFR
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   486
     val f = S.lhs proto_def
3333
0bbf06e86c06 Now checks the name of the function being defined;
paulson
parents: 3301
diff changeset
   487
     val (Name,_) = dest_Free f
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   488
     val (extractants,TCl) = ListPair.unzip extracta
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   489
     val TCs = foldr (gen_union (op aconv)) (TCl, [])
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   490
     val full_rqt = WFR::TCs
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   491
     val R' = S.mk_select{Bvar=R1, Body=S.list_mk_conj full_rqt}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   492
     val R'abs = S.rand R'
3333
0bbf06e86c06 Now checks the name of the function being defined;
paulson
parents: 3301
diff changeset
   493
     val (def,theory) = Thry.make_definition thy (Name ^ "_def") 
3353
9112a2efb9a3 Removal of module Mask and datatype binding with its constructor |->
paulson
parents: 3333
diff changeset
   494
                                               (subst_free[(R1,R')] proto_def)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   495
     val fconst = #lhs(S.dest_eq(concl def)) 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   496
     val tych = Thry.typecheck theory
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   497
     val baz = R.DISCH (tych proto_def)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   498
                 (U.itlist (R.DISCH o tych) full_rqt (R.LIST_CONJ extractants))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   499
     val def' = R.MP (R.SPEC (tych fconst) 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   500
                             (R.SPEC (tych R') (R.GENL[tych R1, tych f] baz)))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   501
                     def
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   502
     val body_th = R.LIST_CONJ (map (R.ASSUME o tych) full_rqt)
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   503
     val bar = R.MP (R.ISPECL[tych R'abs, tych R1] Thms.SELECT_AX)
3191
14bd6e5985f1 TFL now integrated with HOL (more work needed)
paulson
parents: 2112
diff changeset
   504
                    body_th
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   505
 in {theory = theory, R=R1,
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   506
     rules = U.rev_itlist (U.C R.MP) (R.CONJUNCTS bar) def',
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   507
     full_pats_TCs = merge (map pat_of pats) (ListPair.zip (givens pats, TCl)),
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   508
     patterns = pats}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   509
 end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   510
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   511
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   512
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   513
(*----------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   514
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   515
 *                           INDUCTION THEOREM
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   516
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   517
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   518
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   519
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   520
(*------------------------  Miscellaneous function  --------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   521
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   522
 *           [x_1,...,x_n]     ?v_1...v_n. M[v_1,...,v_n]
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   523
 *     -----------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   524
 *     ( M[x_1,...,x_n], [(x_i,?v_1...v_n. M[v_1,...,v_n]),
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   525
 *                        ... 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   526
 *                        (x_j,?v_n. M[x_1,...,x_(n-1),v_n])] )
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   527
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   528
 * This function is totally ad hoc. Used in the production of the induction 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   529
 * theorem. The nchotomy theorem can have clauses that look like
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   530
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   531
 *     ?v1..vn. z = C vn..v1
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   532
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   533
 * in which the order of quantification is not the order of occurrence of the
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   534
 * quantified variables as arguments to C. Since we have no control over this
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   535
 * aspect of the nchotomy theorem, we make the correspondence explicit by
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   536
 * pairing the incoming new variable with the term it gets beta-reduced into.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   537
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   538
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   539
fun alpha_ex_unroll (xlist, tm) =
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   540
  let val (qvars,body) = S.strip_exists tm
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   541
      val vlist = #2(S.strip_comb (S.rhs body))
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   542
      val plist = ListPair.zip (vlist, xlist)
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   543
      val args = map (fn qv => the (gen_assoc (op aconv) (plist, qv))) qvars
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   544
                   handle OPTION _ => error 
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   545
                       "TFL fault [alpha_ex_unroll]: no correspondence"
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   546
      fun build ex [] = []
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   547
        | build ex (v::rst) =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   548
           let val ex1 = S.beta_conv(S.mk_comb{Rator=S.rand ex, Rand=v})
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   549
           in ex1::build ex1 rst
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   550
           end
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   551
     val (nex::exl) = rev (tm::build tm args)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   552
  in 
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   553
  (nex, ListPair.zip (args, rev exl))
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   554
  end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   555
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   556
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   557
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   558
(*----------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   559
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   560
 *             PROVING COMPLETENESS OF PATTERNS
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   561
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   562
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   563
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   564
fun mk_case ty_info FV thy =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   565
 let 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   566
 val divide = ipartition (gvvariant FV)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   567
 val tych = Thry.typecheck thy
3353
9112a2efb9a3 Removal of module Mask and datatype binding with its constructor |->
paulson
parents: 3333
diff changeset
   568
 fun tych_binding(x,y) = (tych x, tych y)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   569
 fun fail s = raise TFL_ERR{func = "mk_case", mesg = s}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   570
 fun mk{rows=[],...} = fail"no rows"
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   571
   | mk{path=[], rows = [([], (thm, bindings))]} = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   572
                         R.IT_EXISTS (map tych_binding bindings) thm
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   573
   | mk{path = u::rstp, rows as (p::_, _)::_} =
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   574
     let val (pat_rectangle,rights) = ListPair.unzip rows
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   575
         val col0 = map hd pat_rectangle
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   576
         val pat_rectangle' = map tl pat_rectangle
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   577
     in 
3333
0bbf06e86c06 Now checks the name of the function being defined;
paulson
parents: 3301
diff changeset
   578
     if (forall is_Free col0) (* column 0 is all variables *)
3353
9112a2efb9a3 Removal of module Mask and datatype binding with its constructor |->
paulson
parents: 3333
diff changeset
   579
     then let val rights' = map (fn ((thm,theta),v) => (thm,theta@[(u,v)]))
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   580
                                (ListPair.zip (rights, col0))
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   581
          in mk{path = rstp, rows = ListPair.zip (pat_rectangle', rights')}
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   582
          end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   583
     else                     (* column 0 is all constructors *)
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   584
     let val Type (ty_name,_) = type_of p
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   585
     in
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   586
     case (ty_info ty_name)
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   587
     of None => fail("Not a known datatype: "^ty_name)
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   588
      | Some{constructors,nchotomy} =>
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   589
        let val thm' = R.ISPEC (tych u) nchotomy
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   590
            val disjuncts = S.strip_disj (concl thm')
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   591
            val subproblems = divide(constructors, rows)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   592
            val groups      = map #group subproblems
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   593
            and new_formals = map #new_formals subproblems
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   594
            val existentials = ListPair.map alpha_ex_unroll
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   595
                                   (new_formals, disjuncts)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   596
            val constraints = map #1 existentials
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   597
            val vexl = map #2 existentials
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   598
            fun expnd tm (pats,(th,b)) = (pats,(R.SUBS[R.ASSUME(tych tm)]th,b))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   599
            val news = map (fn (nf,rows,c) => {path = nf@rstp, 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   600
                                               rows = map (expnd c) rows})
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   601
                           (U.zip3 new_formals groups constraints)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   602
            val recursive_thms = map mk news
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   603
            val build_exists = foldr
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   604
                                (fn((x,t), th) => 
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   605
                                 R.CHOOSE (tych x, R.ASSUME (tych t)) th)
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   606
            val thms' = ListPair.map build_exists (vexl, recursive_thms)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   607
            val same_concls = R.EVEN_ORS thms'
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   608
        in R.DISJ_CASESL thm' same_concls
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   609
        end 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   610
     end end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   611
 in mk
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   612
 end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   613
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   614
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   615
fun complete_cases thy =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   616
 let val tych = Thry.typecheck thy
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   617
     fun pmk_var n ty = S.mk_var{Name = n,Ty = ty}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   618
     val ty_info = Thry.induct_info thy
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   619
 in fn pats =>
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   620
 let val FV0 = S.free_varsl pats
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   621
     val a = S.variant FV0 (pmk_var "a" (type_of(hd pats)))
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   622
     val v = S.variant (a::FV0) (pmk_var "v" (type_of a))
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   623
     val FV = a::v::FV0
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   624
     val a_eq_v = HOLogic.mk_eq(a,v)
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   625
     val ex_th0 = R.EXISTS (tych (S.mk_exists{Bvar=v,Body=a_eq_v}), tych a)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   626
                           (R.REFL (tych a))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   627
     val th0 = R.ASSUME (tych a_eq_v)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   628
     val rows = map (fn x => ([x], (th0,[]))) pats
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   629
 in
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   630
 R.GEN (tych a) 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   631
       (R.RIGHT_ASSOC
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   632
          (R.CHOOSE(tych v, ex_th0)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   633
                (mk_case ty_info FV thy {path=[v], rows=rows})))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   634
 end end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   635
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   636
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   637
(*---------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   638
 * Constructing induction hypotheses: one for each recursive call.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   639
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   640
 * Note. R will never occur as a variable in the ind_clause, because
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   641
 * to do so, it would have to be from a nested definition, and we don't
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   642
 * allow nested defns to have R variable.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   643
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   644
 * Note. When the context is empty, there can be no local variables.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   645
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   646
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   647
local nonfix ^ ;   infix 9 ^  ;     infix 5 ==>
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   648
      fun (tm1 ^ tm2)   = S.mk_comb{Rator = tm1, Rand = tm2}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   649
      fun (tm1 ==> tm2) = S.mk_imp{ant = tm1, conseq = tm2}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   650
in
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   651
fun build_ih f P (pat,TCs) = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   652
 let val globals = S.free_vars_lr pat
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   653
     fun nested tm = U.can(S.find_term (S.aconv f)) tm handle _ => false
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   654
     fun dest_TC tm = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   655
         let val (cntxt,R_y_pat) = S.strip_imp(#2(S.strip_forall tm))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   656
             val (R,y,_) = S.dest_relation R_y_pat
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   657
             val P_y = if (nested tm) then R_y_pat ==> P^y else P^y
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   658
         in case cntxt 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   659
              of [] => (P_y, (tm,[]))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   660
               | _  => let 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   661
                    val imp = S.list_mk_conj cntxt ==> P_y
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   662
                    val lvs = U.set_diff S.aconv (S.free_vars_lr imp) globals
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   663
                    val locals = #2(U.pluck (S.aconv P) lvs) handle _ => lvs
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   664
                    in (S.list_mk_forall(locals,imp), (tm,locals)) end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   665
         end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   666
 in case TCs
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   667
    of [] => (S.list_mk_forall(globals, P^pat), [])
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   668
     |  _ => let val (ihs, TCs_locals) = ListPair.unzip(map dest_TC TCs)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   669
                 val ind_clause = S.list_mk_conj ihs ==> P^pat
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   670
             in (S.list_mk_forall(globals,ind_clause), TCs_locals)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   671
             end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   672
 end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   673
end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   674
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   675
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   676
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   677
(*---------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   678
 * This function makes good on the promise made in "build_ih: we prove
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   679
 * <something>.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   680
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   681
 * Input  is tm = "(!y. R y pat ==> P y) ==> P pat",  
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   682
 *           TCs = TC_1[pat] ... TC_n[pat]
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   683
 *           thm = ih1 /\ ... /\ ih_n |- ih[pat]
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   684
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   685
fun prove_case f thy (tm,TCs_locals,thm) =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   686
 let val tych = Thry.typecheck thy
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   687
     val antc = tych(#ant(S.dest_imp tm))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   688
     val thm' = R.SPEC_ALL thm
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   689
     fun nested tm = U.can(S.find_term (S.aconv f)) tm handle _ => false
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   690
     fun get_cntxt TC = tych(#ant(S.dest_imp(#2(S.strip_forall(concl TC)))))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   691
     fun mk_ih ((TC,locals),th2,nested) =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   692
         R.GENL (map tych locals)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   693
            (if nested 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   694
              then R.DISCH (get_cntxt TC) th2 handle _ => th2
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   695
               else if S.is_imp(concl TC) 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   696
                     then R.IMP_TRANS TC th2 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   697
                      else R.MP th2 TC)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   698
 in 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   699
 R.DISCH antc
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   700
 (if S.is_imp(concl thm') (* recursive calls in this clause *)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   701
  then let val th1 = R.ASSUME antc
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   702
           val TCs = map #1 TCs_locals
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   703
           val ylist = map (#2 o S.dest_relation o #2 o S.strip_imp o 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   704
                            #2 o S.strip_forall) TCs
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   705
           val TClist = map (fn(TC,lvs) => (R.SPEC_ALL(R.ASSUME(tych TC)),lvs))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   706
                            TCs_locals
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   707
           val th2list = map (U.C R.SPEC th1 o tych) ylist
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   708
           val nlist = map nested TCs
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   709
           val triples = U.zip3 TClist th2list nlist
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   710
           val Pylist = map mk_ih triples
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   711
       in R.MP thm' (R.LIST_CONJ Pylist) end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   712
  else thm')
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   713
 end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   714
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   715
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   716
(*---------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   717
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   718
 *         x = (v1,...,vn)  |- M[x]
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   719
 *    ---------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   720
 *      ?v1 ... vn. x = (v1,...,vn) |- M[x]
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   721
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   722
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   723
fun LEFT_ABS_VSTRUCT tych thm = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   724
  let fun CHOOSER v (tm,thm) = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   725
        let val ex_tm = S.mk_exists{Bvar=v,Body=tm}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   726
        in (ex_tm, R.CHOOSE(tych v, R.ASSUME (tych ex_tm)) thm)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   727
        end
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   728
      val [veq] = filter (U.can S.dest_eq) (#1 (R.dest_thm thm))
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   729
      val {lhs,rhs} = S.dest_eq veq
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   730
      val L = S.free_vars_lr rhs
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   731
  in  #2 (U.itlist CHOOSER L (veq,thm))  end;
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   732
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   733
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   734
fun combize M N = S.mk_comb{Rator=M,Rand=N};
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   735
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   736
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   737
(*----------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   738
 * Input : f, R,  and  [(pat1,TCs1),..., (patn,TCsn)]
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   739
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   740
 * Instantiates WF_INDUCTION_THM, getting Sinduct and then tries to prove
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   741
 * recursion induction (Rinduct) by proving the antecedent of Sinduct from 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   742
 * the antecedent of Rinduct.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   743
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   744
fun mk_induction thy f R pat_TCs_list =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   745
let val tych = Thry.typecheck thy
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   746
    val Sinduction = R.UNDISCH (R.ISPEC (tych R) Thms.WF_INDUCTION_THM)
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   747
    val (pats,TCsl) = ListPair.unzip pat_TCs_list
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   748
    val case_thm = complete_cases thy pats
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   749
    val domain = (type_of o hd) pats
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   750
    val P = S.variant (S.all_varsl (pats @ List_.concat TCsl))
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   751
                      (S.mk_var{Name="P", Ty=domain --> HOLogic.boolT})
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   752
    val Sinduct = R.SPEC (tych P) Sinduction
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   753
    val Sinduct_assumf = S.rand ((#ant o S.dest_imp o concl) Sinduct)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   754
    val Rassums_TCl' = map (build_ih f P) pat_TCs_list
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   755
    val (Rassums,TCl') = ListPair.unzip Rassums_TCl'
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   756
    val Rinduct_assum = R.ASSUME (tych (S.list_mk_conj Rassums))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   757
    val cases = map (S.beta_conv o combize Sinduct_assumf) pats
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   758
    val tasks = U.zip3 cases TCl' (R.CONJUNCTS Rinduct_assum)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   759
    val proved_cases = map (prove_case f thy) tasks
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   760
    val v = S.variant (S.free_varsl (map concl proved_cases))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   761
                      (S.mk_var{Name="v", Ty=domain})
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   762
    val vtyped = tych v
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   763
    val substs = map (R.SYM o R.ASSUME o tych o (curry HOLogic.mk_eq v)) pats
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   764
    val proved_cases1 = ListPair.map (fn (th,th') => R.SUBS[th]th') 
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   765
                          (substs, proved_cases)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   766
    val abs_cases = map (LEFT_ABS_VSTRUCT tych) proved_cases1
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   767
    val dant = R.GEN vtyped (R.DISJ_CASESL (R.ISPEC vtyped case_thm) abs_cases)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   768
    val dc = R.MP Sinduct dant
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   769
    val Parg_ty = type_of(#Bvar(S.dest_forall(concl dc)))
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   770
    val vars = map (gvvariant[P]) (S.strip_prod_type Parg_ty)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   771
    val dc' = U.itlist (R.GEN o tych) vars
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   772
                       (R.SPEC (tych(S.mk_vstruct Parg_ty vars)) dc)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   773
in 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   774
   R.GEN (tych P) (R.DISCH (tych(concl Rinduct_assum)) dc')
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   775
end 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   776
handle _ => raise TFL_ERR{func = "mk_induction", mesg = "failed derivation"};
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   777
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   778
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   779
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   780
(*---------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   781
 * 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   782
 *                        POST PROCESSING
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   783
 *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   784
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   785
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   786
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   787
fun simplify_induction thy hth ind = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   788
  let val tych = Thry.typecheck thy
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   789
      val (asl,_) = R.dest_thm ind
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   790
      val (_,tc_eq_tc') = R.dest_thm hth
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   791
      val tc = S.lhs tc_eq_tc'
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   792
      fun loop [] = ind
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   793
        | loop (asm::rst) = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   794
          if (U.can (Thry.match_term thy asm) tc)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   795
          then R.UNDISCH
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   796
                 (R.MATCH_MP
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   797
                     (R.MATCH_MP Thms.simp_thm (R.DISCH (tych asm) ind)) 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   798
                     hth)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   799
         else loop rst
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   800
  in loop asl
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   801
end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   802
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   803
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   804
(*---------------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   805
 * The termination condition is an antecedent to the rule, and an 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   806
 * assumption to the theorem.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   807
 *---------------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   808
fun elim_tc tcthm (rule,induction) = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   809
   (R.MP rule tcthm, R.PROVE_HYP tcthm induction)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   810
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   811
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   812
fun postprocess{WFtac, terminator, simplifier} theory {rules,induction,TCs} =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   813
let val tych = Thry.typecheck theory
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   814
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   815
   (*---------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   816
    * Attempt to eliminate WF condition. It's the only assumption of rules
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   817
    *---------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   818
   val (rules1,induction1)  = 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   819
       let val thm = R.prove(tych(hd(#1(R.dest_thm rules))),WFtac)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   820
       in (R.PROVE_HYP thm rules,  R.PROVE_HYP thm induction)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   821
       end handle _ => (rules,induction)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   822
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   823
   (*----------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   824
    * The termination condition (tc) is simplified to |- tc = tc' (there
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   825
    * might not be a change!) and then 3 attempts are made:
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   826
    *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   827
    *   1. if |- tc = T, then eliminate it with eqT; otherwise,
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   828
    *   2. apply the terminator to tc'. If |- tc' = T then eliminate; else
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   829
    *   3. replace tc by tc' in both the rules and the induction theorem.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   830
    *---------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   831
   fun simplify_tc tc (r,ind) =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   832
       let val tc_eq = simplifier (tych tc)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   833
       in 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   834
       elim_tc (R.MATCH_MP Thms.eqT tc_eq) (r,ind)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   835
       handle _ => 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   836
        (elim_tc (R.MATCH_MP(R.MATCH_MP Thms.rev_eq_mp tc_eq)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   837
                            (R.prove(tych(S.rhs(concl tc_eq)),terminator)))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   838
                 (r,ind)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   839
         handle _ => 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   840
          (R.UNDISCH(R.MATCH_MP (R.MATCH_MP Thms.simp_thm r) tc_eq), 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   841
           simplify_induction theory tc_eq ind))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   842
       end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   843
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   844
   (*----------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   845
    * Nested termination conditions are harder to get at, since they are
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   846
    * left embedded in the body of the function (and in induction 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   847
    * theorem hypotheses). Our "solution" is to simplify them, and try to 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   848
    * prove termination, but leave the application of the resulting theorem 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   849
    * to a higher level. So things go much as in "simplify_tc": the 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   850
    * termination condition (tc) is simplified to |- tc = tc' (there might 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   851
    * not be a change) and then 2 attempts are made:
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   852
    *
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   853
    *   1. if |- tc = T, then return |- tc; otherwise,
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   854
    *   2. apply the terminator to tc'. If |- tc' = T then return |- tc; else
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   855
    *   3. return |- tc = tc'
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   856
    *---------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   857
   fun simplify_nested_tc tc =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   858
      let val tc_eq = simplifier (tych (#2 (S.strip_forall tc)))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   859
      in
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   860
      R.GEN_ALL
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   861
       (R.MATCH_MP Thms.eqT tc_eq
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   862
        handle _
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   863
        => (R.MATCH_MP(R.MATCH_MP Thms.rev_eq_mp tc_eq)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   864
                      (R.prove(tych(S.rhs(concl tc_eq)),terminator))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   865
            handle _ => tc_eq))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   866
      end
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   867
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   868
   (*-------------------------------------------------------------------
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   869
    * Attempt to simplify the termination conditions in each rule and 
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   870
    * in the induction theorem.
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   871
    *-------------------------------------------------------------------*)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   872
   fun strip_imp tm = if S.is_neg tm then ([],tm) else S.strip_imp tm
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   873
   fun loop ([],extras,R,ind) = (rev R, ind, extras)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   874
     | loop ((r,ftcs)::rst, nthms, R, ind) =
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   875
        let val tcs = #1(strip_imp (concl r))
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   876
            val extra_tcs = U.set_diff S.aconv ftcs tcs
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   877
            val extra_tc_thms = map simplify_nested_tc extra_tcs
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   878
            val (r1,ind1) = U.rev_itlist simplify_tc tcs (r,ind)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   879
            val r2 = R.FILTER_DISCH_ALL(not o S.is_WFR) r1
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   880
        in loop(rst, nthms@extra_tc_thms, r2::R, ind1)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   881
        end
3245
241838c01caf Removal of redundant code (unused or already present in Isabelle.
paulson
parents: 3191
diff changeset
   882
   val rules_tcs = ListPair.zip (R.CONJUNCTS rules1, TCs)
2112
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   883
   val (rules2,ind2,extras) = loop(rules_tcs,[],[],induction1)
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   884
in
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   885
  {induction = ind2, rules = R.LIST_CONJ rules2, nested_tcs = extras}
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   886
end;
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   887
3902e9af752f Konrad Slind's TFL
paulson
parents:
diff changeset
   888
end; (* TFL *)