Search Results: mathematical-theory-of-domains-cambridge-tracts-in-theoretical-computer-science

Mathematical Theory of Domains

Author: V. Stoltenberg-Hansen,I. Lindström,E. R. Griffor

Publisher: Cambridge University Press

ISBN: 9780521383448

Category: Computers

Page: 349

View: 1941

Domain theory is an established part of theoretical computer science, used in giving semantics to programming languages and logics. In mathematics and logic it has also proved to be useful in the study of algorithms. This book is devoted to providing a unified and self-contained treatment of the subject. The theory is presented in a mathematically precise manner which nevertheless is accessible to mathematicians and computer scientists alike. The authors begin with the basic theory including domain equations, various domain representations and universal domains. They then proceed to more specialized topics such as effective and power domains, models of lambda-calculus and so on. In particular, the connections with ultrametric spaces and the Kleene–Kreisel continuous functionals are made precise. Consequently the text will be useful as an introductory textbook (earlier versions have been class-tested in Uppsala, Gothenburg, Passau, Munich and Swansea), or as a general reference for professionals in computer science and logic.

Domains and Lambda-Calculi

Author: Roberto M. Amadio,Pierre-Louis Curien

Publisher: Cambridge University Press

ISBN: 9780521622776

Category: Computers

Page: 484

View: 7084

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

Topology Via Logic

Author: Steven Vickers

Publisher: Cambridge University Press

ISBN: 9780521576512

Category: Computers

Page: 200

View: 1855

This is an advanced textbook on topology for computer scientists. It is based on a course given by the author to postgraduate students of computer science at Imperial College.

Logic Colloquium 2005

Author: Costas Dimitracopoulos

Publisher: Cambridge University Press

ISBN: 052188425X

Category: Computers

Page: 272

View: 8481

This 2007 volume includes surveys, tutorials, and selected research papers on advances in logic.

Domain Theory, Logic and Computation

Proceedings of the 2nd International Symposium on Domain Theory, Sichuan, China, October 2001

Author: Guo-Qiang Zhang,J. Lawson,Ying Ming Liu,M.K. Luo

Publisher: Springer Science & Business Media

ISBN: 9401712913

Category: Philosophy

Page: 197

View: 9907

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.

Mathematical Aspects of Logic Programming Semantics

Author: Pascal Hitzler,Anthony Seda

Publisher: CRC Press

ISBN: 1439829624

Category: Computers

Page: 304

View: 4686

Covering the authors’ own state-of-the-art research results, Mathematical Aspects of Logic Programming Semantics 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 book covers topics spanning the period from the early days of logic programming to current times. It discusses applications to computational logic and potential applications to the integration of models of computation, knowledge representation and reasoning, and the Semantic Web. The authors develop well-known and important semantics in logic programming from a unified point of view using both order theory and new, nontraditional methods. They closely examine the interrelationships between various semantics as well as the integration of logic programming and connectionist systems/neural networks. For readers interested in the interface between mathematics and computer science, this book offers a detailed development of the mathematical techniques necessary for studying the semantics of logic programs. It illustrates the main semantics of logic programs and applies the methods in the context of neural-symbolic integration.

Logic Colloquium 2000

Author: René Cori,Alexander Razborov,Stevo Todorčević,Carol Wood

Publisher: Cambridge University Press

ISBN: 1108756034

Category: Mathematics

Page: N.A

View: 6084

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books in the series have been unavailable for years, but they are now in print once again. This volume, the nineteenth publication in the Lecture Notes in Logic series, collects the proceedings of the European Summer Meeting of the Association for Symbolic Logic, held in Paris, France in July 2000. This meeting marked the centennial anniversary of Hilbert's famous lecture and was held in the same hall at La Sorbonne where Hilbert presented his problems. Three long articles, based on tutorials given at the meeting, present accessible expositions of developing research in model theory, computability, and set theory. The eleven subsequent papers present work from the research frontier in all areas of mathematical logic.

Basic Simple Type Theory

Author: J. Roger Hindley

Publisher: Cambridge University Press

ISBN: 9780521465182

Category: Computers

Page: 186

View: 5208

Type theory is one of the most important tools in the design of higher-level programming languages, such as ML. This book introduces and teaches its techniques by focusing on one particularly neat system and studying it in detail. By concentrating on the principles that make the theory work in practice, the author covers all the key ideas without getting involved in the complications of more advanced systems. This book takes a type-assignment approach to type theory, and the system considered is the simplest polymorphic one. The author covers all the basic ideas, including the system's relation to propositional logic, and gives a careful treatment of the type-checking algorithm that lies at the heart of every such system. Also featured are two other interesting algorithms that until now have been buried in inaccessible technical literature. The mathematical presentation is rigorous but clear, making it the first book at this level that can be used as an introduction to type theory for computer scientists.

Logic and Computation

Interactive Proof with Cambridge LCF

Author: Lawrence C. Paulson

Publisher: Cambridge University Press

ISBN: 9780521395601

Category: Computers

Page: 320

View: 6071

Logic and Computation 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 methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of statements in a programming language. This book consists of two parts. Part I outlines the mathematical preliminaries: elementary logic and domain theory. They are explained at an intuitive level, giving references to more advanced reading. Part II provides enough 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.

Nominal Sets

Names and Symmetry in Computer Science

Author: Andrew M. Pitts

Publisher: Cambridge University Press

ISBN: 1107244684

Category: Computers

Page: N.A

View: 8730

Nominal sets provide a promising new mathematical analysis of names in formal languages based upon symmetry, with many applications to the syntax and semantics of programming language constructs that involve binding, or localising names. Part I provides an introduction to the basic theory of nominal sets. In Part II, the author surveys some of the applications that have developed in programming language semantics (both operational and denotational), functional programming and logic programming. As the first book to give a detailed account of the theory of nominal sets, it will be welcomed by researchers and graduate students in theoretical computer science.

Logic Colloquium '03

Lecture Notes in Logic 24

Author: Viggo Stoltenberg-Hansen,Jouko Väänänen

Publisher: A K Peters/CRC Press

ISBN: N.A

Category: Mathematics

Page: 408

View: 7029

This book is a compilation of papers resented at the 2003 European Summer Meeting of the Association for Symbolic Logic. It includes tutorials and research articles from some of the world's preeminent logicians. Of particular interest is a tutorial on finite model theory and query languages that lie between first-order and second-order logic. Other articles cover current research topics in all areas of mathematical logic, including Proof Theory, Set Theory, Model Theory, Computability Theory, and Philosophy.

Action Semantics

Author: Peter Mosses

Publisher: Cambridge University Press

ISBN: 9780521619332

Category: Computers

Page: 396

View: 5859

Action Semantics is a comprehensive introduction to the semantics of programming languages. It will be of use to graduates of computer science and mathematics.

Automata, Languages and Programming

30th International Colloquium, ICALP 2003, Eindhoven, The Netherlands, June 30 - July 4, 2003. Proceedings

Author: Jos C.M. Baeten

Publisher: Springer

ISBN: N.A

Category: Computers

Page: 1199

View: 5766

The refereed proceedings of the 30th International Colloquium on Automata, Languages and Programming, ICALP 2003, held in Eindhoven, The Netherlands in June/July 2003. The 84 revised full papers presented together with six invited papers were carefully reviewed and selected from 212 submissions. The papers are organized in topical sections on algorithms, process algebra, approximation algorithms, languages and programming, complexity, data structures, graph algorithms, automata, optimization and games, graphs and bisimulation, online problems, verification, the Internet, temporal logic and model checking, graph problems, logic and lambda-calculus, data structures and algorithms, types and categories, probabilistic systems, sampling and randomness, scheduling, and geometric problems.

Automatic Sequences

Theory, Applications, Generalizations

Author: Jean-Paul Allouche,Jeffrey Shallit

Publisher: Cambridge University Press

ISBN: 9780521823326

Category: Computers

Page: 571

View: 5343

Uniting dozens of seemingly disparate results from different fields, this book combines concepts from mathematics and computer science to present the first integrated treatment of sequences generated by 'finite automata'. The authors apply the theory to the study of automatic sequences and their generalizations, such as Sturmian words and k-regular sequences. And further, they provide applications to number theory (particularly to formal power series and transcendence in finite characteristic), physics, computer graphics, and music. Starting from first principles wherever feasible, basic results from combinatorics on words, numeration systems, and models of computation are discussed. Thus this book is suitable for graduate students or advanced undergraduates, as well as for mature researchers wishing to know more about this fascinating subject. Results are presented from first principles wherever feasible, and the book is supplemented by a collection of 460 exercises, 85 open problems, and over 1600 citations to the literature.

Foundations of Software Science and Computation Structures

7th International Conference, FOSSACS 2004, Held as Part of the Joint European Conferences on Theory and Practice of Software, ETAPS 2004, Barcelona, Spain, March 29 - April 2, 2004, Proceedings

Author: Igor Walukiewicz

Publisher: Springer

ISBN: N.A

Category: Computer software

Page: 529

View: 493

This book constitutes the refereed proceedings of the 7th International Conference on Foundations of Software Science and Computation Structures, FOSSACS 2004, held in Barcelona, Spain in March/April 2004. The 34 revised full papers presented together with the abstracts of 2 invited talks were carefully reviewed and selected from over 130 submissions. Among the topics addressed are lambda calculus, cryptographic protocol analysis, graphs and grammar systems, decision theory, bisimulation, rewriting, normalization, specification, verification, process calculi, mobile code, automata, program semantics, dynamic logics, timed languages, security analysis, information-theoretical aspects.

Annales Societatis Mathematicae Polonae

Fundamenta informaticae

Author: Polskie Towarzystwo Matematyczne

Publisher: N.A

ISBN: N.A

Category: Artificial intelligence

Page: N.A

View: 4504

Proceedings

Author: N.A

Publisher: N.A

ISBN: 9781581130805

Category: Computer graphics

Page: 327

View: 4493

Foundational Theories of Classical and Constructive Mathematics

Author: Giovanni Sommaruga

Publisher: Springer Science & Business Media

ISBN: 9789400704312

Category: Mathematics

Page: 316

View: 9015

The book "Foundational Theories of Classical and Constructive Mathematics" is a book on the classical topic of foundations of mathematics. Its originality resides mainly in its treating at the same time foundations of classical and foundations of constructive mathematics. This confrontation of two kinds of foundations contributes to answering questions such as: Are foundations/foundational theories of classical mathematics of a different nature compared to those of constructive mathematics? Do they play the same role for the resp. mathematics? Are there connections between the two kinds of foundational theories? etc. The confrontation and comparison is often implicit and sometimes explicit. Its great advantage is to extend the traditional discussion of the foundations of mathematics and to render it at the same time more subtle and more differentiated. Another important aspect of the book is that some of its contributions are of a more philosophical, others of a more technical nature. This double face is emphasized, since foundations of mathematics is an eminent topic in the philosophy of mathematics: hence both sides of this discipline ought to be and are being paid due to.

Contributions to general algebra 16

proceedings of the 68th Workshop on General Algebra, "68. Arbeitstagung Allgemeine Algebra," University of Technology Dresden, June 10-13, 2004 and of the Summer School 2004 on General Algebra and Ordered Sets, Malá Morávka, September 5-11, 2004

Author: Ivan Chajda

Publisher: N.A

ISBN: 9783708401638

Category: Algebra

Page: 297

View: 9445

Nonmonotonic Reasoning

Logical Foundations of Commonsense

Author: Gerhard Brewka

Publisher: Cambridge University Press

ISBN: 9780521383943

Category: Computers

Page: 168

View: 7584

This 1991 book gives an overview of different areas of research in nonmonotonic reasoning. The guiding principles are: clarification of the different research activities in the area and appreciation of the fact that these research activities often represent different means to the same ends, namely sound theoretical foundations and efficient computation.

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