| author | paulson |
| Fri, 13 Dec 1996 11:00:44 +0100 | |
| changeset 2378 | fc103154ad8f |
| parent 243 | c22b85994e17 |
| permissions | -rw-r--r-- |
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Franz Regensburger's Higher-Order Logic of Computable Functions embedding LCF
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(* Title: HOLCF/cfun1.thy |
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ID: $Id$ |
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Author: Franz Regensburger |
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Copyright 1993 Technische Universitaet Muenchen |
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Definition of the type -> of continuous functions |
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*) |
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Cfun1 = Cont + |
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(* new type of continuous functions *) |
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types "->" 2 (infixr 5) |
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arities "->" :: (pcpo,pcpo)term (* No properties for ->'s range *) |
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consts |
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Cfun :: "('a => 'b)set"
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fapp :: "('a -> 'b)=>('a => 'b)" ("(_[_])" [11,0] 1000)
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(* usually Rep_Cfun *) |
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(* application *) |
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fabs :: "('a => 'b)=>('a -> 'b)" (binder "LAM " 10)
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(* usually Abs_Cfun *) |
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(* abstraction *) |
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less_cfun :: "[('a -> 'b),('a -> 'b)]=>bool"
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rules |
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Cfun_def "Cfun == {f. contX(f)}"
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(*faking a type definition... *) |
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(* -> is isomorphic to Cfun *) |
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Rep_Cfun "fapp(fo):Cfun" |
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Rep_Cfun_inverse "fabs(fapp(fo)) = fo" |
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Abs_Cfun_inverse "f:Cfun ==> fapp(fabs(f))=f" |
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(*defining the abstract constants*) |
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less_cfun_def "less_cfun(fo1,fo2) == ( fapp(fo1) << fapp(fo2) )" |
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end |