| author | oheimb | 
| Sat, 25 Oct 1997 14:43:55 +0200 | |
| changeset 4005 | 8858c472691a | 
| parent 243 | c22b85994e17 | 
| permissions | -rw-r--r-- | 
| 
243
 
c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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1  | 
(* Title: HOLCF/fun1.thy  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
2  | 
ID: $Id$  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
3  | 
Author: Franz Regensburger  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
4  | 
Copyright 1993 Technische Universitaet Muenchen  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
5  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
6  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
7  | 
Definition of the partial ordering for the type of all functions => (fun)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
8  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
9  | 
REMARK: The ordering on 'a => 'b is only defined if 'b is in class po !!  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
10  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
11  | 
*)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
12  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
13  | 
Fun1 = Pcpo +  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
14  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
15  | 
(* default class is still term *)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
16  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
17  | 
consts  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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18  | 
less_fun :: "['a=>'b::po,'a=>'b] => bool"  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
19  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
20  | 
rules  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
21  | 
(* definition of the ordering less_fun *)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
22  | 
(* in fun1.ML it is proved that less_fun is a po *)  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
23  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
24  | 
less_fun_def "less_fun(f1,f2) == ! x. f1(x) << f2(x)"  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
25  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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26  | 
end  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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27  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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28  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
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29  | 
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c22b85994e17
Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
 
nipkow 
parents:  
diff
changeset
 | 
30  |