Domain Theory, Logic and Computation

Domain Theory, Logic and Computation PDF Author: Guo-Qiang Zhang
Publisher: Springer Science & Business Media
ISBN: 9401712913
Category : Philosophy
Languages : en
Pages : 204

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Book Description
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.

Domain Theory, Logic and Computation

Domain Theory, Logic and Computation PDF Author: Guo-Qiang Zhang
Publisher: Springer Science & Business Media
ISBN: 9401712913
Category : Philosophy
Languages : en
Pages : 204

Get Book Here

Book Description
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.

Domains and Lambda-Calculi

Domains and Lambda-Calculi PDF Author: Roberto M. Amadio
Publisher: Cambridge University Press
ISBN: 0521622778
Category : Computers
Languages : en
Pages : 504

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Book Description
Graduate text on mathematical foundations of programming languages, and operational and denotational semantics.

Mathematical Theory of Domains

Mathematical Theory of Domains PDF Author: V. Stoltenberg-Hansen
Publisher: Cambridge University Press
ISBN: 9780521383448
Category : Computers
Languages : en
Pages : 366

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Book Description
Introductory textbook/general reference in domain theory for professionals in computer science and logic.

Logic and Computation

Logic and Computation PDF Author: Lawrence C. Paulson
Publisher:
ISBN: 9780521346320
Category : Computers
Languages : en
Pages : 302

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Book Description
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.

Mathematical Aspects of Logic Programming Semantics

Mathematical Aspects of Logic Programming Semantics PDF Author: Pascal Hitzler
Publisher: CRC Press
ISBN: 1000218724
Category : Computers
Languages : en
Pages : 323

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Book Description
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.

Justification Logic

Justification Logic PDF Author: Sergei Artemov
Publisher: Cambridge University Press
ISBN: 1108424910
Category : Mathematics
Languages : en
Pages : 271

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Book Description
Develops a new logic paradigm which emphasizes evidence tracking, including theory, connections to other fields, and sample applications.

Semantics and Logics of Computation

Semantics and Logics of Computation PDF Author: Andrew M. Pitts
Publisher: Cambridge University Press
ISBN: 0521580579
Category : Computers
Languages : en
Pages : 375

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Book Description
The aim of this volume is to present modern developments in semantics and logics of computation in a way that is accessible to graduate students. The book is based on a summer school at the Isaac Newton Institute and consists of a sequence of linked lecture course by international authorities in the area. The whole set have been edited to form a coherent introduction to these topics, most of which have not been presented pedagogically before.

Logic, Computation and Rigorous Methods

Logic, Computation and Rigorous Methods PDF Author: Alexander Raschke
Publisher: Springer Nature
ISBN: 3030760200
Category : Computers
Languages : en
Pages : 367

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Book Description
This Festschrift was published in honor of Egon Börger on the occasion of his 75th birthday. It acknowledges Prof. Börger's inspiration as a scientist, author, mentor, and community organizer. Dedicated to a pioneer in the fields of logic and computer science, Egon Börger's research interests are unusual in scope, from programming languages to hardware architectures, software architectures, control systems, workflow and interaction patterns, business processes, web applications, and concurrent systems. The 18 invited contributions in this volume are by leading researchers in the areas of software engineering, programming languages, business information systems, and computer science logic.

Call-By-Push-Value

Call-By-Push-Value PDF Author: P.B. Levy
Publisher: Springer Science & Business Media
ISBN: 9400709544
Category : Computers
Languages : en
Pages : 381

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Book Description
Call-by-push-value is a programming language paradigm that, surprisingly, breaks down the call-by-value and call-by-name paradigms into simple primitives. This monograph, written for graduate students and researchers, exposes the call-by-push-value structure underlying a remarkable range of semantics, including operational semantics, domains, possible worlds, continuations and games.

Computational Logic and Set Theory

Computational Logic and Set Theory PDF Author: Jacob T. Schwartz
Publisher: Springer Science & Business Media
ISBN: 0857298089
Category : Computers
Languages : en
Pages : 426

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Book Description
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.