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Book Synopsis Cartesian Closed Categories of Domains by : A. Jung
Download or read book Cartesian Closed Categories of Domains written by A. Jung and published by . This book was released on 1989 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Cartesian closed categories of domains by : Achim Jung
Download or read book Cartesian closed categories of domains written by Achim Jung and published by . This book was released on 1988 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Effective Cartesian Closed Categories of Domains by :
Download or read book Effective Cartesian Closed Categories of Domains written by and published by . This book was released on 2001 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Largest Cartesian Closed Category of Domains by : Michael B. Smyth
Download or read book The Largest Cartesian Closed Category of Domains written by Michael B. Smyth and published by . This book was released on 1982 with total page 13 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Every bounded complete dcpo D with bottom has a prim-algebraic quotient D. We prove that [formula] is a retract of [formula] in PRIME. Let dSCOTT be the category of distributive Scott-domains with maps preserving all non-empty suprema. We show that PRIME is the maximal cartesian closed category in dSCOTT."
Book Synopsis Prim-algebraic Domains by : Michael Huth
Download or read book Prim-algebraic Domains written by Michael Huth and published by . This book was released on 1992 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Every bounded complete dcpo D with bottom has a prim-algebraic quotient D. We prove that [formula] is a retract of [formula] in PRIME. Let dSCOTT be the category of distributive Scott-domains with maps preserving all non-empty suprema. We show that PRIME is the maximal cartesian closed category in dSCOTT."
This monograph studies the logical aspects of domains as used in de notational semantics of programming languages. Frameworks of domain logics are introduced; these serve as foundations for systematic derivations of proof systems from denotational semantics of programming languages. Any proof system so derived is guaranteed to agree with denotational se mantics in the sense that the denotation of any program coincides with the set of assertions true of it. The study focuses on two categories for dena tational semantics: SFP domains, and the less standard, but important, category of stable domains. The intended readership of this monograph includes researchers and graduate students interested in the relation between semantics of program ming languages and formal means of reasoning about programs. A basic knowledge of denotational semantics, mathematical logic, general topology, and category theory is helpful for a full understanding of the material. Part I SFP Domains Chapter 1 Introduction This chapter provides a brief exposition to domain theory, denotational se mantics, program logics, and proof systems. It discusses the importance of ideas and results on logic and topology to the understanding of the relation between denotational semantics and program logics. It also describes the motivation for the work presented by this monograph, and how that work fits into a more general program. Finally, it gives a short summary of the results of each chapter. 1. 1 Domain Theory Programming languages are languages with which to perform computa tion.
Book Synopsis Logic of Domains by : G. Zhang
Download or read book Logic of Domains written by G. Zhang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph studies the logical aspects of domains as used in de notational semantics of programming languages. Frameworks of domain logics are introduced; these serve as foundations for systematic derivations of proof systems from denotational semantics of programming languages. Any proof system so derived is guaranteed to agree with denotational se mantics in the sense that the denotation of any program coincides with the set of assertions true of it. The study focuses on two categories for dena tational semantics: SFP domains, and the less standard, but important, category of stable domains. The intended readership of this monograph includes researchers and graduate students interested in the relation between semantics of program ming languages and formal means of reasoning about programs. A basic knowledge of denotational semantics, mathematical logic, general topology, and category theory is helpful for a full understanding of the material. Part I SFP Domains Chapter 1 Introduction This chapter provides a brief exposition to domain theory, denotational se mantics, program logics, and proof systems. It discusses the importance of ideas and results on logic and topology to the understanding of the relation between denotational semantics and program logics. It also describes the motivation for the work presented by this monograph, and how that work fits into a more general program. Finally, it gives a short summary of the results of each chapter. 1. 1 Domain Theory Programming languages are languages with which to perform computa tion.
Domain theory is a rich interdisciplinary area at the intersection of logic, computer science, and mathematics. This volume contains selected papers presented at the International Symposium on Domain Theory which took place in Shanghai in October 1999. Topics of papers range from the encounters between topology and domain theory, sober spaces, Lawson topology, real number computability and continuous functionals to fuzzy modelling, logic programming, and pi-calculi. This book is a valuable reference for researchers and students interested in this rapidly developing area of theoretical computer science.
Book Synopsis Domains and Processes by : Klaus Keimel
Download or read book Domains and Processes written by Klaus Keimel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Domain theory is a rich interdisciplinary area at the intersection of logic, computer science, and mathematics. This volume contains selected papers presented at the International Symposium on Domain Theory which took place in Shanghai in October 1999. Topics of papers range from the encounters between topology and domain theory, sober spaces, Lawson topology, real number computability and continuous functionals to fuzzy modelling, logic programming, and pi-calculi. This book is a valuable reference for researchers and students interested in this rapidly developing area of theoretical computer science.
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
Book Synopsis Domains and Lambda-Calculi by : Roberto M. Amadio
Download or read book Domains and Lambda-Calculi written by Roberto M. Amadio and published by Cambridge University Press. This book was released on 1998-07-02 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
Book Synopsis Continuous Lattices and Domains by : G. Gierz
Download or read book Continuous Lattices and Domains written by G. Gierz and published by Cambridge University Press. This book was released on 2003-03-06 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: Table of contents
If C is a full subcategory of DCPO such that it is closed under domains of natural transformations, then C is cartesian closed and complete; if additionally C contains an isomorphic copy of the flat natural numbers, then C has a non-algebraic object."
Book Synopsis Semantic Domains of Natural Transformations, Completeness, and Cartesian Closedness of Categories of Domains by : Michael Huth
Download or read book Semantic Domains of Natural Transformations, Completeness, and Cartesian Closedness of Categories of Domains written by Michael Huth and published by . This book was released on 1992 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: If C is a full subcategory of DCPO such that it is closed under domains of natural transformations, then C is cartesian closed and complete; if additionally C contains an isomorphic copy of the flat natural numbers, then C has a non-algebraic object."