Logics For Computer Science Second Edition

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Logic for Computer Science

Author : Jean H. Gallier
Publisher : Courier Dover Publications
ISBN 13 : 0486780821
Total Pages : 532 pages
Book Rating : 4.4/5 (867 download)

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Book Synopsis Logic for Computer Science by : Jean H. Gallier

Download or read book Logic for Computer Science written by Jean H. Gallier and published by Courier Dover Publications. This book was released on 2015-06-18 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: This advanced text for undergraduate and graduate students introduces mathematical logic with an emphasis on proof theory and procedures for algorithmic construction of formal proofs. The self-contained treatment is also useful for computer scientists and mathematically inclined readers interested in the formalization of proofs and basics of automatic theorem proving. Topics include propositional logic and its resolution, first-order logic, Gentzen's cut elimination theorem and applications, and Gentzen's sharpened Hauptsatz and Herbrand's theorem. Additional subjects include resolution in first-order logic; SLD-resolution, logic programming, and the foundations of PROLOG; and many-sorted first-order logic. Numerous problems appear throughout the book, and two Appendixes provide practical background information.

Logic in Computer Science

Author : Michael Huth
Publisher :
ISBN 13 : 9780521543101
Total Pages : 427 pages
Book Rating : 4.5/5 (431 download)

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Book Synopsis Logic in Computer Science by : Michael Huth

Download or read book Logic in Computer Science written by Michael Huth and published by . This book was released on 2004-08-26 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a sound basis in logic, and introduces logical frameworks used in modelling, specifying and verifying computer systems.

Mathematical Logic for Computer Science

Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
ISBN 13 : 1447103351
Total Pages : 311 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Mathematical Logic for Computer Science by : Mordechai Ben-Ari

Download or read book Mathematical Logic for Computer Science written by Mordechai Ben-Ari and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a mathematics textbook with theorems and proofs. The choice of topics has been guided by the needs of computer science students. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and yet sufficiently elementary for undergraduates. In order to provide a balanced treatment of logic, tableaux are related to deductive proof systems. The book presents various logical systems and contains exercises. Still further, Prolog source code is available on an accompanying Web site. The author is an Associate Professor at the Department of Science Teaching, Weizmann Institute of Science.

Logics for Computer Science

Author : Anita Wasilewska
Publisher : Springer
ISBN 13 : 3319925911
Total Pages : 540 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Logics for Computer Science by : Anita Wasilewska

Download or read book Logics for Computer Science written by Anita Wasilewska and published by Springer. This book was released on 2018-11-03 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: Providing an in-depth introduction to fundamental classical and non-classical logics, this textbook offers a comprehensive survey of logics for computer scientists. Logics for Computer Science contains intuitive introductory chapters explaining the need for logical investigations, motivations for different types of logics and some of their history. They are followed by strict formal approach chapters. All chapters contain many detailed examples explaining each of the introduced notions and definitions, well chosen sets of exercises with carefully written solutions, and sets of homework. While many logic books are available, they were written by logicians for logicians, not for computer scientists. They usually choose one particular way of presenting the material and use a specialized language. Logics for Computer Science discusses Gentzen as well as Hilbert formalizations, first order theories, the Hilbert Program, Godel's first and second incompleteness theorems and their proofs. It also introduces and discusses some many valued logics, modal logics and introduces algebraic models for classical, intuitionistic, and modal S4 and S5 logics. The theory of computation is based on concepts defined by logicians and mathematicians. Logic plays a fundamental role in computer science, and this book explains the basic theorems, as well as different techniques of proving them in classical and some non-classical logics. Important applications derived from concepts of logic for computer technology include Artificial Intelligence and Software Engineering. In addition to Computer Science, this book may also find an audience in mathematics and philosophy courses, and some of the chapters are also useful for a course in Artificial Intelligence.

Essential Logic for Computer Science

Author : Rex Page
Publisher : MIT Press
ISBN 13 : 0262039184
Total Pages : 305 pages
Book Rating : 4.2/5 (62 download)

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Book Synopsis Essential Logic for Computer Science by : Rex Page

Download or read book Essential Logic for Computer Science written by Rex Page and published by MIT Press. This book was released on 2019-01-08 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

LOGICS FOR COMPUTER SCIENCE, SECOND EDITION

Author : SINGH, ARINDAMA
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 9387472442
Total Pages : 432 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis LOGICS FOR COMPUTER SCIENCE, SECOND EDITION by : SINGH, ARINDAMA

Download or read book LOGICS FOR COMPUTER SCIENCE, SECOND EDITION written by SINGH, ARINDAMA and published by PHI Learning Pvt. Ltd.. This book was released on 2018-06-01 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed primarily as an introductory text on logic for computer science, this well-organized book deals with almost all the basic concepts and techniques that are pertinent to the subject. It provides an excellent understanding of the logics used in computer science today. Starting with the logic of propositions, it gives a detailed coverage of first order logic and modal logics. It discusses various approaches to the proof theory of the logics, e.g. axiomatic systems, natural deduction systems, Gentzen systems, analytic tableau, and resolution. It deals with an important application of logic to computer science, namely, verification of programs. The book gives the flavour of logic engineering through computation tree logic, a logic of model checking. The book concludes with a fairly detailed discussion on nonstandard logics including intuitionistic logic, Lukasiewicz logics, default logic, autoepistemic logic, and fuzzy logic. The Second Edition includes applications of compactness theorem to many interesting problems relevant to mathematics and computer science. It also presents the undecidability of first order logic, inexpressibility of truth, and incompleteness of Peano's Arithmetic in a comprehensive and lively manner. Besides students of Computer Science, those offering courses in Mathematics and Philosophy would greatly benefit from this study. KEY FEATURES • Provides numerous worked-out examples which not only illustrate the concepts and theory developed, but also give a lead to the succeeding notions. • Exercises at the end of each section aim at reinforcing and mastering the techniques, raising issues and preparing background for further development of the subject. • Problems of theoretical nature, which are important for learning the subject, are included at the end of each chapter. • The reader is constantly provoked toworkout the details, promoting interactive learning.

Logics for Computer Science

Author : Arindama Singh
Publisher :
ISBN 13 : 9789387472433
Total Pages : 430 pages
Book Rating : 4.4/5 (724 download)

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Book Synopsis Logics for Computer Science by : Arindama Singh

Download or read book Logics for Computer Science written by Arindama Singh and published by . This book was released on 2020-11-30 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic for Applications

Author : Anil Nerode
Publisher : Springer Science & Business Media
ISBN 13 : 1468402110
Total Pages : 383 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Logic for Applications by : Anil Nerode

Download or read book Logic for Applications written by Anil Nerode and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 383 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Sets, Logic and Maths for Computing

Author : David Makinson
Publisher : Springer Science & Business Media
ISBN 13 : 1447125002
Total Pages : 302 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Sets, Logic and Maths for Computing by : David Makinson

Download or read book Sets, Logic and Maths for Computing written by David Makinson and published by Springer Science & Business Media. This book was released on 2012-02-27 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This easy-to-follow textbook introduces the mathematical language, knowledge and problem-solving skills that undergraduates need to study computing. The language is in part qualitative, with concepts such as set, relation, function and recursion/induction; but it is also partly quantitative, with principles of counting and finite probability. Entwined with both are the fundamental notions of logic and their use for representation and proof. Features: teaches finite math as a language for thinking, as much as knowledge and skills to be acquired; uses an intuitive approach with a focus on examples for all general concepts; brings out the interplay between the qualitative and the quantitative in all areas covered, particularly in the treatment of recursion and induction; balances carefully the abstract and concrete, principles and proofs, specific facts and general perspectives; includes highlight boxes that raise common queries and clear confusions; provides numerous exercises, with selected solutions.

Basic Proof Theory

Author : A. S. Troelstra
Publisher : Cambridge University Press
ISBN 13 : 9780521779111
Total Pages : 436 pages
Book Rating : 4.7/5 (791 download)

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Book Synopsis Basic Proof Theory by : A. S. Troelstra

Download or read book Basic Proof Theory written by A. S. Troelstra and published by Cambridge University Press. This book was released on 2000-07-27 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introduction to the basic ideas of structural proof theory contains a thorough discussion and comparison of various types of formalization of first-order logic. Examples are given of several areas of application, namely: the metamathematics of pure first-order logic (intuitionistic as well as classical); the theory of logic programming; category theory; modal logic; linear logic; first-order arithmetic and second-order logic. In each case the aim is to illustrate the methods in relatively simple situations and then apply them elsewhere in much more complex settings. There are numerous exercises throughout the text. In general, the only prerequisite is a standard course in first-order logic, making the book ideal for graduate students and beginning researchers in mathematical logic, theoretical computer science and artificial intelligence. For the new edition, many sections have been rewritten to improve clarity, new sections have been added on cut elimination, and solutions to selected exercises have been included.

Logic for Computer Scientists

Author : Uwe Schöning
Publisher : Springer Science & Business Media
ISBN 13 : 0817647635
Total Pages : 173 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Logic for Computer Scientists by : Uwe Schöning

Download or read book Logic for Computer Scientists written by Uwe Schöning and published by Springer Science & Business Media. This book was released on 2009-11-03 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic And Language Models For Computer Science (Fourth Edition)

Author : Dana Richards
Publisher : World Scientific
ISBN 13 : 9811260680
Total Pages : 497 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Logic And Language Models For Computer Science (Fourth Edition) by : Dana Richards

Download or read book Logic And Language Models For Computer Science (Fourth Edition) written by Dana Richards and published by World Scientific. This book was released on 2023-01-19 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique compendium highlights the theory of computation, particularly logic and automata theory. Special emphasis is on computer science applications including loop invariants, program correctness, logic programming and algorithmic proof techniques.This innovative volume differs from standard textbooks, by building on concepts in a different order, using fewer theorems with simpler proofs. It has added many new examples, problems and answers. It can be used as an undergraduate text at most universities.

Logic for Mathematics and Computer Science

Author : Stanley Burris
Publisher : Upper Saddle River, N.J. : Prentice Hall
ISBN 13 :
Total Pages : 456 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Logic for Mathematics and Computer Science by : Stanley Burris

Download or read book Logic for Mathematics and Computer Science written by Stanley Burris and published by Upper Saddle River, N.J. : Prentice Hall. This book was released on 1998 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended for one semester courses in Logic, it can also be applied to a two semester course, in either Computer Science or Mathematics Departments. Unlike other texts on mathematical logic that are either too advanced, too sparse in examples or exercises, too traditional in coverage, or too philosophical in approach, this text provides an elementary "hands-on" presentation of important mathematical logic topics, new and old, that is readily accessible and relevant to all students of the mathematical sciences -- not just those in traditional pure mathematics.

Temporal Logic and State Systems

Author : Fred Kröger
Publisher : Springer Science & Business Media
ISBN 13 : 3540674012
Total Pages : 440 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Temporal Logic and State Systems by : Fred Kröger

Download or read book Temporal Logic and State Systems written by Fred Kröger and published by Springer Science & Business Media. This book was released on 2008-03-27 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic: The Basics

Author : Jc Beall
Publisher : Taylor & Francis
ISBN 13 : 1317528611
Total Pages : 314 pages
Book Rating : 4.3/5 (175 download)

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Book Synopsis Logic: The Basics by : Jc Beall

Download or read book Logic: The Basics written by Jc Beall and published by Taylor & Francis. This book was released on 2017-04-20 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic: The Basics is an accessible introduction to several core areas of logic. The first part of the book features a self-contained introduction to the standard topics in classical logic, such as: · mathematical preliminaries · propositional logic · quantified logic (first monadic, then polyadic) · English and standard ‘symbolic translations’ · tableau procedures. Alongside comprehensive coverage of the standard topics, this thoroughly revised second edition also introduces several philosophically important nonclassical logics, free logics, and modal logics, and gives the reader an idea of how they can take their knowledge further. With its wealth of exercises (solutions available in the encyclopedic online supplement), Logic: The Basics is a useful textbook for courses ranging from the introductory level to the early graduate level, and also as a reference for students and researchers in philosophical logic.

Logic for Computer Science and Artificial Intelligence

Author : Ricardo Caferra
Publisher : John Wiley & Sons
ISBN 13 : 1118604261
Total Pages : 378 pages
Book Rating : 4.1/5 (186 download)

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Book Synopsis Logic for Computer Science and Artificial Intelligence by : Ricardo Caferra

Download or read book Logic for Computer Science and Artificial Intelligence written by Ricardo Caferra and published by John Wiley & Sons. This book was released on 2013-02-04 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Friendly Introduction to Mathematical Logic

Author : Christopher C. Leary
Publisher : Lulu.com
ISBN 13 : 1942341075
Total Pages : 382 pages
Book Rating : 4.9/5 (423 download)

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Book Synopsis A Friendly Introduction to Mathematical Logic by : Christopher C. Leary

Download or read book A Friendly Introduction to Mathematical Logic written by Christopher C. Leary and published by Lulu.com. This book was released on 2015 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: At the intersection of mathematics, computer science, and philosophy, mathematical logic examines the power and limitations of formal mathematical thinking. In this expansion of Leary's user-friendly 1st edition, readers with no previous study in the field are introduced to the basics of model theory, proof theory, and computability theory. The text is designed to be used either in an upper division undergraduate classroom, or for self study. Updating the 1st Edition's treatment of languages, structures, and deductions, leading to rigorous proofs of Gödel's First and Second Incompleteness Theorems, the expanded 2nd Edition includes a new introduction to incompleteness through computability as well as solutions to selected exercises.