1.1 --- /dev/null	Thu Jan 01 00:00:00 1970 +0000
     1.2 +++ b/src/Tools/isac/Knowledge/InsSort.thy	Wed Aug 25 16:20:07 2010 +0200
     1.3 @@ -0,0 +1,63 @@
     1.4 +(* 6.8.02 change to Isabelle2002 caused error -- thy excluded !
     1.5 +
     1.6 +Proving equations for primrec function(s) "InsSort.foldr" ...
     1.7 +GC #1.17.30.54.345.21479:   (10 ms)
     1.8 +*** Definition of InsSort.ins :: "['a::ord list, 'a::ord] => 'a::ord list"
     1.9 +*** imposes additional sort constraints on the declared type of the constant
    1.10 +*** The error(s) above occurred in definition "InsSort.ins.ins_list_def (@@@)"
    1.11 +*)
    1.12 +
    1.13 +(* insertion sort, would need lists different from script-lists WN.11.00
    1.14 +WN.7.5.03: -"- started with someList :: 'a list => unl, fun dest_list
    1.15 +WN.8.5.03: error (@@@) remained with outcommenting foldr ?!?
    1.16 +
    1.17 + use_thy_only"Knowledge/InsSort";
    1.18 +
    1.19 +*)
    1.20 +
    1.21 +InsSort = Script +
    1.22 +
    1.23 +consts
    1.24 +
    1.25 +(*foldr      :: [['a,'b] => 'a, 'b list, 'a] => 'a
    1.26 +WN.8.5.03: already defined in Isabelle2002 (instantiated by Typefix):
    1.27 +     "[[real, real] => real, real list, real] => real") : term
    1.28 +
    1.29 + val t = str2term "foldr";
    1.30 +val t =
    1.31 +  Const
    1.32 +    ("List.foldr",
    1.33 +     "[[RealDef.real, RealDef.real] => RealDef.real, RealDef.real List.list,
    1.34 +      RealDef.real] => RealDef.real") : term
    1.35 + *)
    1.36 +  ins        :: ['a list,'a] => 'a list
    1.37 +  sort       :: 'a list => 'a list
    1.38 +
    1.39 +(*descriptions, script-id*)
    1.40 +  unsorted   :: 'a list => unl
    1.41 +  sorted     :: 'a list => unl
    1.42 +
    1.43 +(*subproblem and script-name*)
    1.44 +  Ins'_sort  :: "['a list, \
    1.45 +		  \ 'a list] => 'a list"
    1.46 +               ("((Script Ins'_sort (_ =))// \
    1.47 +		  \ (_))" 9)
    1.48 +  Sort       :: "['a list, \
    1.49 +		  \ 'a list] => 'a list"
    1.50 +               ("((Script Sort (_ =))// \
    1.51 +		  \ (_))" 9)
    1.52 +
    1.53 +(*primrec
    1.54 +  foldr_base "foldr f [] a = a"
    1.55 +  foldr_rec  "foldr f (x#xs) a = foldr f xs (f a x)"
    1.56 +*)
    1.57 +
    1.58 +rules
    1.59 +
    1.60 +(*primrec .. outcommented analoguous to ListC.thy*)
    1.61 +  ins_base   "ins [] a = [a]"
    1.62 +  ins_rec    "ins (x#xs) a = (if x < a then x#(ins xs a) else a#(x#xs))" 
    1.63 + 
    1.64 +  sort_def   "sort ls = foldr ins ls []"
    1.65 +
    1.66 +end