Logic Reference Book For Computer Scientists

Author : Uwe Schöning
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 42,6 Mb
Release : 2009-11-03
Category : Mathematics
ISBN : 9780817647636

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Logic for Computer Scientists by Uwe Schöning Pdf

This book introduces the notions and methods of formal logic from a computer science standpoint, covering propositional logic, predicate logic, and foundations of logic programming. The classic text is replete with illustrative examples and exercises. It presents applications and themes of computer science research such as resolution, automated deduction, and logic programming in a rigorous but readable way. The style and scope of the work, rounded out by the inclusion of exercises, make this an excellent textbook for an advanced undergraduate course in logic for computer scientists.

Author : Michael Huth,Mark Ryan
Publisher : Unknown
Page : 427 pages
File Size : 55,9 Mb
Release : 2004-08-26
Category : Computers
ISBN : 052154310X

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Logic in Computer Science by Michael Huth,Mark Ryan Pdf

Provides a sound basis in logic, and introduces logical frameworks used in modelling, specifying and verifying computer systems.

Author : Lech T. Polkowski
Publisher : Springer Nature
Page : 489 pages
File Size : 55,6 Mb
Release : 2023-11-04
Category : Computers
ISBN : 9783031420344

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Logic: Reference Book for Computer Scientists by Lech T. Polkowski Pdf

The book gives all interested in computer science, a deep review of relevant aspects of logic. In its scope are classical and non-classical logics. The content will be valid as well for those interested in linguistic, philosophy and many other areas of research both in humane and technical branches of science as logic permeates all genuine realms of science. The book contains a substantial part of classical results in logic like those by Gödel, Tarski, Church and Rosser as well as later developments like many-valued logics, logics for knowledge engineering, first-order logics plus inductive definitions. The exposition is rigorous yet without unnecessary abstractionism, so it should be accessible to readers from many disciplines of science. Each chapter contains a problem section, and problems are borrowed from research publications which allows for passing additional information, and it allows readers to test their skills. Extensive bibliography of 270 positions directs readers to research works of importance.

Author : Donald W. Loveland,Richard E. Hodel,S. G. Sterrett
Publisher : Princeton University Press
Page : 344 pages
File Size : 42,8 Mb
Release : 2014-01-26
Category : Mathematics
ISBN : 9781400848751

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Three Views of Logic by Donald W. Loveland,Richard E. Hodel,S. G. Sterrett Pdf

Demonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. The proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. Aimed at upper-level undergraduates of moderate analytical background, Three Views of Logic will be useful in a variety of classroom settings. Gives an exceptionally broad view of logic Treats traditional logic in a modern format Presents relevance logic with applications Provides an ideal text for a variety of one-semester upper-level undergraduate courses

Author : Zhongwan Lu
Publisher : World Scientific
Page : 276 pages
File Size : 42,7 Mb
Release : 1989
Category : Computers
ISBN : 9971502518

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Mathematical Logic for Computer Science by Zhongwan Lu Pdf

This book describes the aspects of mathematical logic related to computer sciences. The materials adopted in this book are intended to attend to both the peculiarities of logical systems and the requirements of computer science.

Author : Wolfgang Rautenberg
Publisher : Springer
Page : 337 pages
File Size : 49,5 Mb
Release : 2010-07-01
Category : Mathematics
ISBN : 9781441912213

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A Concise Introduction to Mathematical Logic by Wolfgang Rautenberg Pdf

Mathematical logic developed into a broad discipline with many applications in mathematics, informatics, linguistics and philosophy. This text introduces the fundamentals of this field, and this new edition has been thoroughly expanded and revised.

Author : Steven Vickers
Publisher : Cambridge University Press
Page : 224 pages
File Size : 46,6 Mb
Release : 1989
Category : Computers
ISBN : 0521576512

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Topology Via Logic by Steven Vickers Pdf

Now in paperback, Topology via Logic is an advanced textbook on topology for computer scientists. Based on a course given by the author to postgraduate students of computer science at Imperial College, it has three unusual features. First, the introduction is from the locale viewpoint, motivated by the logic of finite observations: this provides a more direct approach than the traditional one based on abstracting properties of open sets in the real line. Second, the methods of locale theory are freely exploited. Third, there is substantial discussion of some computer science applications. Although books on topology aimed at mathematics exist, no book has been written specifically for computer scientists. As computer scientists become more aware of the mathematical foundations of their discipline, it is appropriate that such topics are presented in a form of direct relevance and applicability. This book goes some way towards bridging the gap.

Author : Dov M. Gabbay,Jörg H. Siekmann,John Woods
Publisher : Newnes
Page : 737 pages
File Size : 48,7 Mb
Release : 2014-12-09
Category : Mathematics
ISBN : 9780080930671

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Computational Logic by Dov M. Gabbay,Jörg H. Siekmann,John Woods Pdf

Handbook of the History of Logic brings to the development of logic the best in modern techniques of historical and interpretative scholarship. Computational logic was born in the twentieth century and evolved in close symbiosis with the advent of the first electronic computers and the growing importance of computer science, informatics and artificial intelligence. With more than ten thousand people working in research and development of logic and logic-related methods, with several dozen international conferences and several times as many workshops addressing the growing richness and diversity of the field, and with the foundational role and importance these methods now assume in mathematics, computer science, artificial intelligence, cognitive science, linguistics, law and many engineering fields where logic-related techniques are used inter alia to state and settle correctness issues, the field has diversified in ways that even the pure logicians working in the early decades of the twentieth century could have hardly anticipated. Logical calculi, which capture an important aspect of human thought, are now amenable to investigation with mathematical rigour and computational support and fertilized the early dreams of mechanised reasoning: “Calculemus . The Dartmouth Conference in 1956 – generally considered as the birthplace of artificial intelligence – raised explicitly the hopes for the new possibilities that the advent of electronic computing machinery offered: logical statements could now be executed on a machine with all the far-reaching consequences that ultimately led to logic programming, deduction systems for mathematics and engineering, logical design and verification of computer software and hardware, deductive databases and software synthesis as well as logical techniques for analysis in the field of mechanical engineering. This volume covers some of the main subareas of computational logic and its applications. Chapters by leading authorities in the field Provides a forum where philosophers and scientists interact Comprehensive reference source on the history of logic

Author : Rex Page,Ruben Gamboa
Publisher : MIT Press
Page : 305 pages
File Size : 44,9 Mb
Release : 2019-01-08
Category : Computers
ISBN : 9780262039185

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Essential Logic for Computer Science by Rex Page,Ruben Gamboa Pdf

An introduction to applying predicate logic to testing and verification of software and digital circuits that focuses on applications rather than theory. Computer scientists use logic for testing and verification of software and digital circuits, but many computer science students study logic only in the context of traditional mathematics, encountering the subject in a few lectures and a handful of problem sets in a discrete math course. This book offers a more substantive and rigorous approach to logic that focuses on applications in computer science. Topics covered include predicate logic, equation-based software, automated testing and theorem proving, and large-scale computation. Formalism is emphasized, and the book employs three formal notations: traditional algebraic formulas of propositional and predicate logic; digital circuit diagrams; and the widely used partially automated theorem prover, ACL2, which provides an accessible introduction to mechanized formalism. For readers who want to see formalization in action, the text presents examples using Proof Pad, a lightweight ACL2 environment. Readers will not become ALC2 experts, but will learn how mechanized logic can benefit software and hardware engineers. In addition, 180 exercises, some of them extremely challenging, offer opportunities for problem solving. There are no prerequisites beyond high school algebra. Programming experience is not required to understand the book's equation-based approach. The book can be used in undergraduate courses in logic for computer science and introduction to computer science and in math courses for computer science students.

Author : Abramsky, Samson Abramsky,Dov M. Gabbay,Thomas S. E. Maibaum
Publisher : Unknown
Page : 128 pages
File Size : 47,6 Mb
Release : 1992
Category : Electronic
ISBN : OCLC:601406371

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Handbook of Logic in Computer Science by Abramsky, Samson Abramsky,Dov M. Gabbay,Thomas S. E. Maibaum Pdf

Author : Fred Kröger,Stephan Merz
Publisher : Springer Science & Business Media
Page : 440 pages
File Size : 51,7 Mb
Release : 2008-03-27
Category : Computers
ISBN : 9783540674016

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Temporal Logic and State Systems by Fred Kröger,Stephan Merz Pdf

Temporal logic has developed over the last 30 years into a powerful formal setting for the specification and verification of state-based systems. Based on university lectures given by the authors, this book is a comprehensive, concise, uniform, up-to-date presentation of the theory and applications of linear and branching time temporal logic; TLA (Temporal Logic of Actions); automata theoretical connections; model checking; and related theories. All theoretical details and numerous application examples are elaborated carefully and with full formal rigor, and the book will serve as a basic source and reference for lecturers, graduate students and researchers.

Author : Ricardo Caferra
Publisher : John Wiley & Sons
Page : 378 pages
File Size : 40,7 Mb
Release : 2013-02-04
Category : Technology & Engineering
ISBN : 9781118604267

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Logic for Computer Science and Artificial Intelligence by Ricardo Caferra Pdf

Logic and its components (propositional, first-order, non-classical) play a key role in Computer Science and Artificial Intelligence. While a large amount of information exists scattered throughout various media (books, journal articles, webpages, etc.), the diffuse nature of these sources is problematic and logic as a topic benefits from a unified approach. Logic for Computer Science and Artificial Intelligence utilizes this format, surveying the tableaux, resolution, Davis and Putnam methods, logic programming, as well as for example unification and subsumption. For non-classical logics, the translation method is detailed. Logic for Computer Science and Artificial Intelligence is the classroom-tested result of several years of teaching at Grenoble INP (Ensimag). It is conceived to allow self-instruction for a beginner with basic knowledge in Mathematics and Computer Science, but is also highly suitable for use in traditional courses. The reader is guided by clearly motivated concepts, introductions, historical remarks, side notes concerning connections with other disciplines, and numerous exercises, complete with detailed solutions, The title provides the reader with the tools needed to arrive naturally at practical implementations of the concepts and techniques discussed, allowing for the design of algorithms to solve problems.

Author : Mi Lu
Publisher : John Wiley & Sons
Page : 270 pages
File Size : 44,8 Mb
Release : 2005-03-04
Category : Computers
ISBN : 9780471726210

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Arithmetic and Logic in Computer Systems by Mi Lu Pdf

Arithmetic and Logic in Computer Systems provides a useful guide to a fundamental subject of computer science and engineering. Algorithms for performing operations like addition, subtraction, multiplication, and division in digital computer systems are presented, with the goal of explaining the concepts behind the algorithms, rather than addressing any direct applications. Alternative methods are examined, and explanations are supplied of the fundamental materials and reasoning behind theories and examples. No other current books deal with this subject, and the author is a leading authority in the field of computer arithmetic. The text introduces the Conventional Radix Number System and the Signed-Digit Number System, as well as Residue Number System and Logarithmic Number System. This book serves as an essential, up-to-date guide for students of electrical engineering and computer and mathematical sciences, as well as practicing engineers and computer scientists involved in the design, application, and development of computer arithmetic units.

Author : Anil Nerode,Richard A. Shore
Publisher : Springer Science & Business Media
Page : 383 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781468402117

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Logic for Applications by Anil Nerode,Richard A. Shore Pdf

In writing this book, our goal was to produce a text suitable for a first course in mathematical logic more attuned than the traditional textbooks to the recent dramatic growth in the applications of logic to computer science. Thus our choice of topics has been heavily influenced by such applications. Of course, we cover the basic traditional topics - syntax, semantics, soundness, completeness and compactness - as well as a few more advanced results such as the theorems of Skolem-Lowenheim and Herbrand. Much of our book, however, deals with other less traditional topics. Resolution theorem proving plays a major role in our treatment of logic, especially in its application to Logic Programming and PROLOG. We deal extensively with the mathematical foundations of all three of these subjects. In addition, we include two chapters on nonclassical logic- modal and intuitionistic - that are becoming increasingly important in computer science. We develop the basic material on the syntax and se mantics (via Kripke frames) for each of these logics. In both cases, our approach to formal proofs, soundness and completeness uses modifications of the same tableau method introduced for classical logic. We indicate how it can easily be adapted to various other special types of modal log ics. A number of more advanced topics (including nonmonotonic logic) are also briefly introduced both in the nonclassical logic chapters and in the material on Logic Programming and PROLOG.

Author : Steve Reeves,Michael Clarke
Publisher : Addison Wesley Publishing Company
Page : 280 pages
File Size : 44,6 Mb
Release : 1990
Category : Computers
ISBN : UOM:39015018522071

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Logic for Computer Science by Steve Reeves,Michael Clarke Pdf

An understanding of logic is essential to computer science. This book provides a highly accessible account of the logical basis required for reasoning about computer programs and applying logic in fields like artificial intelligence. The text contains extended examples, algorithms, and programs written in Standard ML and Prolog. No prior knowledge of either language is required. The book contains a clear account of classical first-order logic, one of the basic tools for program verification, as well as an introductory survey of modal and temporal logics and possible world semantics. An introduction to intuitionistic logic as a basis for an important style of program specification is also featured in the book.