src/CCL/ex/list.thy
changeset 13894 8018173a7979
parent 13893 19849d258890
child 13895 b6105462ccd3
--- a/src/CCL/ex/list.thy	Sat Apr 05 16:00:00 2003 +0200
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,44 +0,0 @@
-(*  Title: 	CCL/ex/list.thy
-    ID:         $Id$
-    Author: 	Martin Coen, Cambridge University Computer Laboratory
-    Copyright   1993  University of Cambridge
-
-Programs defined over lists.
-*)
-
-List = Nat + 
-
-consts
-  map       :: "[i=>i,i]=>i"
-  "o"       :: "[i=>i,i=>i]=>i=>i"             (infixr 55)
-  "@"       :: "[i,i]=>i"             (infixr 55)
-  mem       :: "[i,i]=>i"             (infixr 55)
-  filter    :: "[i,i]=>i"
-  flat      :: "i=>i"
-  partition :: "[i,i]=>i"
-  insert    :: "[i,i,i]=>i"
-  isort     :: "i=>i"
-  qsort     :: "i=>i"
-
-rules 
-
-  map_def     "map(f,l)   == lrec(l,[],%x xs g.f(x)$g)"
-  comp_def    "f o g == (%x.f(g(x)))"
-  append_def  "l @ m == lrec(l,m,%x xs g.x$g)"
-  mem_def     "a mem l == lrec(l,false,%h t g.if eq(a,h) then true else g)"
-  filter_def  "filter(f,l) == lrec(l,[],%x xs g.if f`x then x$g else g)"
-  flat_def    "flat(l) == lrec(l,[],%h t g.h @ g)"
-
-  insert_def  "insert(f,a,l) == lrec(l,a$[],%h t g.if f`a`h then a$h$t else h$g)"
-  isort_def   "isort(f) == lam l.lrec(l,[],%h t g.insert(f,h,g))"
-
-  partition_def 
-  "partition(f,l) == letrec part l a b be lcase(l,<a,b>,%x xs.\
-\                            if f`x then part(xs,x$a,b) else part(xs,a,x$b)) \
-\                    in part(l,[],[])"
-  qsort_def   "qsort(f) == lam l. letrec qsortx l be lcase(l,[],%h t. \
-\                                   let p be partition(f`h,t) \
-\                                   in split(p,%x y.qsortx(x) @ h$qsortx(y))) \
-\                          in qsortx(l)"
-
-end