Essential Logic For Computer Science


Essential Logic For Computer Science
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Essential Logic For Computer Science


Essential Logic For Computer Science
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Author : Rex Page
language : en
Publisher: MIT Press
Release Date : 2019-01-08

Essential Logic For Computer Science written by Rex Page and has been published by MIT Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-08 with Computers categories.


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


Logics For Computer Science
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Author : Anita Wasilewska
language : en
Publisher: Springer
Release Date : 2018-11-03

Logics For Computer Science written by Anita Wasilewska and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-11-03 with Computers categories.


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.



Logic For Computer Scientists


Logic For Computer Scientists
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Author : Uwe Schöning
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-11-03

Logic For Computer Scientists written by Uwe Schöning and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-11-03 with Mathematics categories.


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.



Essentials Of Logic Programming


Essentials Of Logic Programming
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Author : Christopher John Hogger
language : en
Publisher: Oxford University Press, USA
Release Date : 1990

Essentials Of Logic Programming written by Christopher John Hogger and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.


Logic programming has developed into a broad discipline within computing science, contributing to such fields as artificial intelligence, new-generation computing, software engineering and deductive databases. This new book presents the fundamentals of logic programming from both practical and theoretical viewpoints. It also covers various extensions of the formalism, its relationship to Prolog, its formal semantics and its applications to program analysis and transformation. The text is illustrated throughout with numerous diagrams. The material is organized into sixty modular themes, permitting many kinds of course to be based upon it; and it includes nearly seventy pages of detailed answers to all of the exercises.



Mathematical Logic For Computer Science


Mathematical Logic For Computer Science
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Author : Zhongwan Lu
language : en
Publisher: World Scientific
Release Date : 1989

Mathematical Logic For Computer Science written by Zhongwan Lu and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Computers categories.


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 Computer Science


Logic For Computer Science
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Author : Steve Reeves
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1990

Logic For Computer Science written by Steve Reeves and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Computers categories.


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.



Introductory Logic And Sets For Computer Scientists


Introductory Logic And Sets For Computer Scientists
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Author : Nimal Nissanke
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1999

Introductory Logic And Sets For Computer Scientists written by Nimal Nissanke and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Computers categories.


This text provides a practical, modern approach to teaching logic and set theory, equipping students with the necessary mathematical understanding and skills required for the mathematical specification of software. It covers all the areas of mathematics that are considered essential to computer science including logic, set theory, modern algebra (group theory), graph theory and combinatorics, whilst taking into account the diverse mathematical background of the students taking the course. In line with current undergraduate curricula this book uses logic extensively, together with set theory, in mathematical specification of software. Languages such as Z and VDM are used for this purpose. Features Particular emphasis is placed on the application of logic in the fields of software engineering, artificial intelligence and natural language processing 0201179571B04062001



Logic For Computer Science


Logic For Computer Science
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Author : Jean H. Gallier
language : en
Publisher: Courier Dover Publications
Release Date : 2015-06-18

Logic For Computer Science written by Jean H. Gallier and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-18 with Mathematics categories.


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.



Applied Logic For Computer Scientists


Applied Logic For Computer Scientists
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Author : Mauricio Ayala-Rincón
language : en
Publisher: Springer
Release Date : 2017-02-04

Applied Logic For Computer Scientists written by Mauricio Ayala-Rincón and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-04 with Computers categories.


This book provides an introduction to logic and mathematical induction which are the basis of any deductive computational framework. A strong mathematical foundation of the logical engines available in modern proof assistants, such as the PVS verification system, is essential for computer scientists, mathematicians and engineers to increment their capabilities to provide formal proofs of theorems and to certify the robustness of software and hardware systems. The authors present a concise overview of the necessary computational and mathematical aspects of ‘logic’, placing emphasis on both natural deduction and sequent calculus. Differences between constructive and classical logic are highlighted through several examples and exercises. Without neglecting classical aspects of computational logic, the authors also highlight the connections between logical deduction rules and proof commands in proof assistants, presenting simple examples of formalizations of the correctness of algebraic functions and algorithms in PVS. Applied Logic for Computer Scientists will not only benefit students of computer science and mathematics but also software, hardware, automation, electrical and mechatronic engineers who are interested in the application of formal methods and the related computational tools to provide mathematical certificates of the quality and accuracy of their products and technologies.



Logic In Computer Science


Logic In Computer Science
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Author : Michael Huth
language : en
Publisher:
Release Date : 2004-08-26

Logic In Computer Science written by Michael Huth and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-08-26 with Computers categories.


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