Mathematical Logic For Computer Science

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Mathematical Logic for Computer Science

Mordechai Ben-Ari
Mathematical Logic for Computer Science Book PDF

Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
Page : 346 pages
File Size : 48,8 Mb
Release : 2012-06-16
Category : Mathematics
ISBN : 9781447141297

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Mathematical Logic for Computer Science by Mordechai Ben-Ari Pdf

Mathematical Logic for Computer Science is a mathematics textbook with theorems and proofs, but the choice of topics has been guided by the needs of students of computer science. The method of semantic tableaux provides an elegant way to teach logic that is both theoretically sound and easy to understand. The uniform use of tableaux-based techniques facilitates learning advanced logical systems based on what the student has learned from elementary systems. The logical systems presented are: propositional logic, first-order logic, resolution and its application to logic programming, Hoare logic for the verification of sequential programs, and linear temporal logic for the verification of concurrent programs. The third edition has been entirely rewritten and includes new chapters on central topics of modern computer science: SAT solvers and model checking.

Mathematical Logic for Computer Science

Mordechai Ben-Ari
Mathematical Logic for Computer Science Book PDF

Author : Mordechai Ben-Ari
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 53,5 Mb
Release : 2012-12-06
Category : Computers
ISBN : 9781447103356

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Mathematical Logic for Computer Science by Mordechai Ben-Ari Pdf

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.

Mathematical Logic for Computer Science

Zhongwan Lu
Mathematical Logic for Computer Science Book PDF

Author : Zhongwan Lu
Publisher : World Scientific
Page : 260 pages
File Size : 46,8 Mb
Release : 1998
Category : Mathematics
ISBN : 9810230915

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Mathematical Logic for Computer Science by Zhongwan Lu Pdf

Mathematical logic is essentially related to computer science. This book describes the aspects of mathematical logic that are closely related to each other, including classical logic, constructive logic, and modal logic. This book is intended to attend to both the peculiarities of logical systems and the requirements of computer science.In this edition, the revisions essentially involve rewriting the proofs, increasing the explanations, and adopting new terms and notations.

Mathematical Logic for Computer Science

M. Ben-Ari
Mathematical Logic for Computer Science Book PDF

Author : M. Ben-Ari
Publisher : Unknown
Page : 324 pages
File Size : 46,6 Mb
Release : 1993
Category : Computers
ISBN : STANFORD:36105017253860

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Mathematical Logic for Computer Science by M. Ben-Ari Pdf

Designed to provide a firm foundation in mathematical logic, this work aims to serve as an elementary textbook for both graduate study and for applications of logic, such as logic programming and format specification and verification.

Logic for Computer Scientists

Uwe Schöning
Logic for Computer Scientists Book PDF

Author : Uwe Schöning
Publisher : Springer Science & Business Media
Page : 173 pages
File Size : 47,8 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.

Essential Logic for Computer Science

Rex Page,Ruben Gamboa
Essential Logic for Computer Science Book PDF

Author : Rex Page,Ruben Gamboa
Publisher : MIT Press
Page : 305 pages
File Size : 40,9 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.

Mathematical Logic for Computer Science

Lu Zhongwan
Mathematical Logic for Computer Science Book PDF

Author : Lu Zhongwan
Publisher : World Scientific
Page : 256 pages
File Size : 45,8 Mb
Release : 1998-08-22
Category : Mathematics
ISBN : 9789814497565

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Mathematical Logic for Computer Science by Lu Zhongwan Pdf

Mathematical logic is essentially related to computer science. This book describes the aspects of mathematical logic that are closely related to each other, including classical logic, constructive logic, and modal logic. This book is intended to attend to both the peculiarities of logical systems and the requirements of computer science. In this edition, the revisions essentially involve rewriting the proofs, increasing the explanations, and adopting new terms and notations. Contents:Prerequisites:SetsInductive Definitions and ProofsNotationsClassical Propositional Logic:Propositions and ConnectivesPropositional LanguageStructure of FormulasSemanticsTautological ConsequenceFormal DeductionDisjunctive and Conjunctive Normal FormsAdequate Sets of ConnectivesClassical First-Order Logic:Proposition Functions and QuantifiersFirst-Order LanguageSemanticsLogical ConsequenceFormal DeductionPrenex Normal FormAxiomatic Deduction System:Axiomatic Deduction SystemRelation between the Two Deduction SystemsSoundness and Completeness:Satisfiability and ValiditySoundnessCompleteness of Propositional LogicCompleteness of First-Order LogicCompleteness of First-Order Logic with EqualityIndependenceCompactness, Löwenheim–Skolem, and Herbrand Theorems:CompactnessLöwenheim-Skolem's TheoremHerbrand's TheoremConstructive Logic:Constructivity of ProofsSemanticsFormal DeductionSoundnessCompletenessModal Propositional Logic:Modal Propositional LanguageSemanticsFormal DeductionSoundnessCompleteness of TCompleteness of S4, B, S5Modal First-Order Logic:Modal First-Order LanguageSemanticsFormal DeductionSoundnessCompletenessEquality Readership: Computer scientists. keywords:

Mathematical Logic For Computer Science

Zhongwan Lu
Mathematical Logic For Computer Science Book PDF

Author : Zhongwan Lu
Publisher : World Scientific
Page : 250 pages
File Size : 51,9 Mb
Release : 1989-07-01
Category : Computers
ISBN : 9789814603546

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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.

Logic for Mathematics and Computer Science

Stanley Burris
Logic for Mathematics and Computer Science Book PDF

Author : Stanley Burris
Publisher : Upper Saddle River, N.J. : Prentice Hall
Page : 456 pages
File Size : 52,6 Mb
Release : 1998
Category : Computers
ISBN : UOM:39015040561261

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Logic for Mathematics and Computer Science by Stanley Burris Pdf

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.

Sets, Logic and Maths for Computing

David Makinson
Sets Logic and Maths for Computing Book PDF

Author : David Makinson
Publisher : Springer Science & Business Media
Page : 283 pages
File Size : 43,9 Mb
Release : 2012-02-27
Category : Computers
ISBN : 9781447125006

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Sets, Logic and Maths for Computing by David Makinson Pdf

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.

Three Views of Logic

Donald W. Loveland,Richard E. Hodel,S. G. Sterrett
Three Views of Logic Book PDF

Author : Donald W. Loveland,Richard E. Hodel,S. G. Sterrett
Publisher : Princeton University Press
Page : 344 pages
File Size : 46,7 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

Mathematics for Computer Science

Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Mathematics for Computer Science Book PDF

Author : Eric Lehman,F. Thomson Leighton,Albert R. Meyer
Publisher : Unknown
Page : 988 pages
File Size : 51,5 Mb
Release : 2017-03-08
Category : Business & Economics
ISBN : 9888407066

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Mathematics for Computer Science by Eric Lehman,F. Thomson Leighton,Albert R. Meyer Pdf

This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.

LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science

Andrea Iacona
LOGIC Lecture Notes for Philosophy Mathematics and Computer Science Book PDF

Author : Andrea Iacona
Publisher : Springer Nature
Page : 228 pages
File Size : 48,8 Mb
Release : 2021-05-10
Category : Philosophy
ISBN : 9783030648114

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LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science by Andrea Iacona Pdf

This textbook is a logic manual which includes an elementary course and an advanced course. It covers more than most introductory logic textbooks, while maintaining a comfortable pace that students can follow. The technical exposition is clear, precise and follows a paced increase in complexity, allowing the reader to get comfortable with previous definitions and procedures before facing more difficult material. The book also presents an interesting overall balance between formal and philosophical discussion, making it suitable for both philosophy and more formal/science oriented students. This textbook is of great use to undergraduate philosophy students, graduate philosophy students, logic teachers, undergraduates and graduates in mathematics, computer science or related fields in which logic is required.

Logic for Computer Science

Steve Reeves,Michael Clarke
Logic for Computer Science Book PDF

Author : Steve Reeves,Michael Clarke
Publisher : Addison Wesley Publishing Company
Page : 280 pages
File Size : 46,5 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.

Foundations of Logic and Mathematics

Yves Nievergelt
Foundations of Logic and Mathematics Book PDF

Author : Yves Nievergelt
Publisher : Springer Science & Business Media
Page : 425 pages
File Size : 47,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461201250

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Foundations of Logic and Mathematics by Yves Nievergelt Pdf

This modern introduction to the foundations of logic and mathematics not only takes theory into account, but also treats in some detail applications that have a substantial impact on everyday life (loans and mortgages, bar codes, public-key cryptography). A first college-level introduction to logic, proofs, sets, number theory, and graph theory, and an excellent self-study reference and resource for instructors.