ex/InSort.thy
author lcp
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(*  Title: 	HOL/ex/insort.thy
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    ID:         $Id$
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    Author: 	Tobias Nipkow
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    Copyright   1994 TU Muenchen
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Insertion sort
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*)
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InSort  =  Sorting +
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consts
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  ins :: "[['a,'a]=>bool, 'a, 'a list] => 'a list"
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  insort :: "[['a,'a]=>bool, 'a list] => 'a list"
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primrec ins List.list
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  ins_Nil  "ins(f,x,[]) = [x]"
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  ins_Cons "ins(f,x,y#ys) =  if(f(x,y), x#y#ys, y#ins(f,x,ys))"
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primrec insort List.list
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  insort_Nil  "insort(f,[]) = []"
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  insort_Cons "insort(f,x#xs) = ins(f,x,insort(f,xs))"
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end