| author | wenzelm | 
| Sat, 02 Sep 2000 21:49:51 +0200 | |
| changeset 9803 | bc883b390d91 | 
| parent 5192 | 704dd3a6d47d | 
| child 10834 | a7897aebbffc | 
| permissions | -rw-r--r-- | 
| 2640 | 1 | (* Title: HOLCF/Fix.thy | 
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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changeset | 2 | ID: $Id$ | 
| 1479 | 3 | Author: Franz Regensburger | 
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changeset | 4 | Copyright 1993 Technische Universitaet Muenchen | 
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changeset | 5 | |
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changeset | 6 | |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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changeset | 7 | definitions for fixed point operator and admissibility | 
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changeset | 8 | |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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changeset | 9 | *) | 
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changeset | 10 | |
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changeset | 11 | Fix = Cfun3 + | 
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changeset | 12 | |
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changeset | 13 | consts | 
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changeset | 14 | |
| 1990 | 15 | iterate	:: "nat=>('a->'a)=>'a=>'a"
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| 16 | Ifix	:: "('a->'a)=>'a"
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| 17 | fix	:: "('a->'a)->'a"
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changeset | 18 | adm		:: "('a::cpo=>bool)=>bool"
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| 1990 | 19 | admw		:: "('a=>bool)=>bool"
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changeset | 20 | |
| 5192 | 21 | primrec | 
| 22 | iterate_0 "iterate 0 F x = x" | |
| 23 | iterate_Suc "iterate (Suc n) F x = F`(iterate n F x)" | |
| 24 | ||
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changeset | 25 | defs | 
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changeset | 26 | |
| 3842 | 27 | Ifix_def "Ifix F == lub(range(%i. iterate i F UU))" | 
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changeset | 28 | fix_def "fix == (LAM f. Ifix f)" | 
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changeset | 29 | |
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changeset | 30 | adm_def "adm P == !Y. chain(Y) --> | 
| 3842 | 31 | (!i. P(Y i)) --> P(lub(range Y))" | 
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changeset | 32 | |
| 3842 | 33 | admw_def "admw P == !F. (!n. P (iterate n F UU)) --> | 
| 1479 | 34 | P (lub(range (%i. iterate i F UU)))" | 
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changeset | 35 | |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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changeset | 36 | end | 
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changeset | 37 |