Domain Theory In Logical Form
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Domain theory the mathematical theory of computation introduced by scott as a foundation for denotational semantics.
Domain theory in logical form. Domain theory the mathematical theory of computation introduced by scott as a foundation for detonational semantics the theory of concurrency and systems behaviour developed by milner hennesy based on operational semantics. Stone duality provides a junction between semantics spaces of. Domain theory in logical form to appear in proceedings of lics 87 samson abramsky department of computing imperial college of science and technology november 10 2006 abstract a metalanguage for denotational semantics is given a logical inter pretation. Domain theory in logical form.
Abramsky s domain theory in logical form annals of pure and applied logic 51 1991 1 77. To name a few examples we have scott s representations of scott domains as information systems 23 abramsky s flexible work domain theory in logical form for sfp domains 1 and its extensions. Domain theory in logical form 17 notions of recursion theory. It should also be said that the link between observables and open sets in domain theory was clearly though briefly stated in 61 chapter 8 p.
Types are interpreted as propositional theories. Logics of. 16 and used. Domain theory the mathematical theory of computation introduced by scott as a foundation for denotational semantics.
Domain theory in logical form samson abramsky department of computing imperial college of science and technology 180 queen s gate london uk sw72bz communicated by a. Domain theory in logical form samson abramsky department of computing imperial college of science and technology 180 queen s gate london sw7 2bz england published in annals of pure and applied logic 51 1991 1 77 september 2 1988. And a commitment to only considering computable elements and morphisms of effectively given domains as advocated in 38. The theory of concurrency and systems behaviour developed by milner hennessy based on operational semantics.
Citeseerx document details isaac councill lee giles pradeep teregowda. The mathematical framework of stone duality is used to synthesis. Abstract the mathematical framework of stone duality is used to synthesize a number. 3 domain theory in logical form attheheartofsamson s domain theory in logical form isthedualitybetween bounded distributive lattices and spectral spaces discoveredbymarshallstonein.
The theory of concurrency and systems behaviour developed by milner hennessy based on operational semantics. Nerode abstract abramsky s domain theory in logical form annals of pure and applied logic 51 1991 l 77.
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