Domain Theory Logic And Computation PDF Download
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| Author | : Guo-Qiang Zhang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 204 |
| Release | : 2013-06-29 |
| Genre | : Philosophy |
| ISBN | : 9401712913 |
Download Domain Theory, Logic and Computation Book in PDF, ePub and Kindle
Domains are mathematical structures for information and approximation; they combine order-theoretic, logical, and topological ideas and provide a natural framework for modelling and reasoning about computation. The theory of domains has proved to be a useful tool for programming languages and other areas of computer science, and for applications in mathematics. Included in this proceedings volume are selected papers of original research presented at the 2nd International Symposium on Domain Theory in Chengdu, China. With authors from France, Germany, Great Britain, Ireland, Mexico, and China, the papers cover the latest research in these sub-areas: domains and computation, topology and convergence, domains, lattices, and continuity, and representations of domains as event and logical structures. Researchers and students in theoretical computer science should find this a valuable source of reference. The survey papers at the beginning should be of particular interest to those who wish to gain an understanding of some general ideas and techniques in this area.
| Author | : Roberto M. Amadio |
| Publisher | : Cambridge University Press |
| Total Pages | : 504 |
| Release | : 1998-07-02 |
| Genre | : Computers |
| ISBN | : 0521622778 |
Download Domains and Lambda-Calculi Book in PDF, ePub and Kindle
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.
| Author | : G. Zhang |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 264 |
| Release | : 2012-12-06 |
| Genre | : Computers |
| ISBN | : 1461204453 |
Download Logic of Domains Book in PDF, ePub and Kindle
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.
| Author | : V. Stoltenberg-Hansen |
| Publisher | : Cambridge University Press |
| Total Pages | : 366 |
| Release | : 1994-09-22 |
| Genre | : Computers |
| ISBN | : 9780521383448 |
Download Mathematical Theory of Domains Book in PDF, ePub and Kindle
Introductory textbook/general reference in domain theory for professionals in computer science and logic.
| Author | : Lawrence C. Paulson |
| Publisher | : Cambridge University Press |
| Total Pages | : 322 |
| Release | : 1987 |
| Genre | : Computers |
| ISBN | : 9780521395601 |
Download Logic and Computation Book in PDF, ePub and Kindle
This book is concerned with techniques for formal theorem-proving, with particular reference to Cambridge LCF (Logic for Computable Functions). Cambridge LCF is a computer program for reasoning about computation. It combines the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient detail to serve as a reference manual for Cambridge LCF. It will also be a useful guide for implementors of other programs based on the LCF approach.
| Author | : Klaus Keimel |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 283 |
| Release | : 2012-12-06 |
| Genre | : Philosophy |
| ISBN | : 9401006547 |
Download Domains and Processes Book in PDF, ePub and Kindle
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.
| Author | : Sergei Artemov |
| Publisher | : Cambridge University Press |
| Total Pages | : 271 |
| Release | : 2019-05-02 |
| Genre | : Mathematics |
| ISBN | : 1108424910 |
Download Justification Logic Book in PDF, ePub and Kindle
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.
| Author | : Jacob T. Schwartz |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 426 |
| Release | : 2011-07-16 |
| Genre | : Computers |
| ISBN | : 0857298089 |
Download Computational Logic and Set Theory Book in PDF, ePub and Kindle
This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.
| Author | : Benjamin C. Pierce |
| Publisher | : MIT Press |
| Total Pages | : 117 |
| Release | : 1991-08-07 |
| Genre | : Computers |
| ISBN | : 0262326450 |
Download Basic Category Theory for Computer Scientists Book in PDF, ePub and Kindle
Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Category theory is a branch of pure mathematics that is becoming an increasingly important tool in theoretical computer science, especially in programming language semantics, domain theory, and concurrency, where it is already a standard language of discourse. Assuming a minimum of mathematical preparation, Basic Category Theory for Computer Scientists provides a straightforward presentation of the basic constructions and terminology of category theory, including limits, functors, natural transformations, adjoints, and cartesian closed categories. Four case studies illustrate applications of category theory to programming language design, semantics, and the solution of recursive domain equations. A brief literature survey offers suggestions for further study in more advanced texts. Contents Tutorial • Applications • Further Reading
| Author | : Pascal Hitzler |
| Publisher | : CRC Press |
| Total Pages | : 307 |
| Release | : 2016-04-19 |
| Genre | : Computers |
| ISBN | : 1000218724 |
Download Mathematical Aspects of Logic Programming Semantics Book in PDF, ePub and Kindle
Covering the authors' own state-of-the-art research results, this book presents a rigorous, modern account of the mathematical methods and tools required for the semantic analysis of logic programs. It significantly extends the tools and methods from traditional order theory to include nonconventional methods from mathematical analysis that depend on topology, domain theory, generalized distance functions, and associated fixed-point theory. The authors closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks.
