Logic Of Computation

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The Cultural Logic of Computation

Author : David Golumbia
Publisher : Harvard University Press
ISBN 13 : 9780674032927
Total Pages : 276 pages
Book Rating : 4.0/5 (329 download)

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Book Synopsis The Cultural Logic of Computation by : David Golumbia

Download or read book The Cultural Logic of Computation written by David Golumbia and published by Harvard University Press. This book was released on 2009-04-30 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advocates of computers make sweeping claims for their inherently transformative power: new and different from previous technologies, they are sure to resolve many of our existing social problems, and perhaps even to cause a positive political revolution. In The Cultural Logic of Computation, David Golumbia, who worked as a software designer for more than ten years, confronts this orthodoxy, arguing instead that computers are cultural “all the way down”—that there is no part of the apparent technological transformation that is not shaped by historical and cultural processes, or that escapes existing cultural politics. From the perspective of transnational corporations and governments, computers benefit existing power much more fully than they provide means to distribute or contest it. Despite this, our thinking about computers has developed into a nearly invisible ideology Golumbia dubs “computationalism”—an ideology that informs our thinking not just about computers, but about economic and social trends as sweeping as globalization. Driven by a programmer’s knowledge of computers as well as by a deep engagement with contemporary literary and cultural studies and poststructuralist theory, The Cultural Logic of Computation provides a needed corrective to the uncritical enthusiasm for computers common today in many parts of our culture.

Fundamentals of Logic and Computation

Author : Zhe Hou
Publisher : Springer
ISBN 13 : 9783030878849
Total Pages : 0 pages
Book Rating : 4.8/5 (788 download)

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Book Synopsis Fundamentals of Logic and Computation by : Zhe Hou

Download or read book Fundamentals of Logic and Computation written by Zhe Hou and published by Springer. This book was released on 2022-12-05 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook aims to help the reader develop an in-depth understanding of logical reasoning and gain knowledge of the theory of computation. The book combines theoretical teaching and practical exercises; the latter is realised in Isabelle/HOL, a modern theorem prover, and PAT, an industry-scale model checker. I also give entry-level tutorials on the two software to help the reader get started. By the end of the book, the reader should be proficient in both software. Content-wise, this book focuses on the syntax, semantics and proof theory of various logics; automata theory, formal languages, computability and complexity. The final chapter closes the gap with a discussion on the insight that links logic with computation. This book is written for a high-level undergraduate course or a Master's course. The hybrid skill set of practical theorem proving and model checking should be helpful for the future of readers should they pursue a research career or engineering in formal methods.

Sets, Logic, Computation

Author : Richard Zach
Publisher :
ISBN 13 :
Total Pages : 418 pages
Book Rating : 4.5/5 (363 download)

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Book Synopsis Sets, Logic, Computation by : Richard Zach

Download or read book Sets, Logic, Computation written by Richard Zach and published by . This book was released on 2021-07-13 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook on the semantics, proof theory, and metatheory of first-order logic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and of first-order logic. It is based on the Open Logic project, and available for free download at slc.openlogicproject.org.

A Computational Logic

Author : Robert S. Boyer
Publisher : Academic Press
ISBN 13 : 1483277887
Total Pages : 414 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis A Computational Logic by : Robert S. Boyer

Download or read book A Computational Logic written by Robert S. Boyer and published by Academic Press. This book was released on 2014-06-25 with total page 414 pages. Available in PDF, EPUB and Kindle. Book excerpt: ACM Monograph Series: A Computational Logic focuses on the use of induction in proving theorems, including the use of lemmas and axioms, free variables, equalities, and generalization. The publication first elaborates on a sketch of the theory and two simple examples, a precise definition of the theory, and correctness of a tautology-checker. Topics include mechanical proofs, informal development, formal specification of the problem, well-founded relations, natural numbers, and literal atoms. The book then examines the use of type information to simplify formulas, use of axioms and lemmas as rewrite rules, and the use of definitions. Topics include nonrecursive functions, computing values, free variables in hypothesis, infinite backwards chaining, infinite looping, computing type sets, and type prescriptions. The manuscript takes a look at rewriting terms and simplifying clauses, eliminating destructors and irrelevance, using equalities, and generalization. Concerns include reasons for eliminating isolated hypotheses, precise statement of the generalization heuristic, restricting generalizations, precise use of equalities, and multiple destructors and infinite looping. The publication is a vital source of data for researchers interested in computational logic.

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.

Puzzles in Logic, Languages and Computation

Author : Dragomir Radev
Publisher : Springer Science & Business Media
ISBN 13 : 3642343724
Total Pages : 208 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Puzzles in Logic, Languages and Computation by : Dragomir Radev

Download or read book Puzzles in Logic, Languages and Computation written by Dragomir Radev and published by Springer Science & Business Media. This book was released on 2013-02-11 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a unique collection that brings together the best English-language problems created for students competing in the Computational Linguistics Olympiad. These problems are representative of the diverse areas presented in the competition and designed with three principles in mind: · To challenge the student analytically, without requiring any explicit knowledge or experience in linguistics or computer science; · To expose the student to the different kinds of reasoning required when encountering a new phenomenon in a language, both as a theoretical topic and as an applied problem; · To foster the natural curiosity students have about the workings of their own language, as well as to introduce them to the beauty and structure of other languages; · To learn about the models and techniques used by computers to understand human language. Aside from being a fun intellectual challenge, the Olympiad mimics the skills used by researchers and scholars in the field of computational linguistics. In an increasingly global economy where businesses operate across borders and languages, having a strong pool of computational linguists is a competitive advantage, and an important component to both security and growth in the 21st century. This collection of problems is a wonderful general introduction to the field of linguistics through the analytic problem solving technique. "A fantastic collection of problems for anyone who is curious about how human language works! These books take serious scientific questions and present them in a fun, accessible way. Readers exercise their logical thinking capabilities while learning about a wide range of human languages, linguistic phenomena, and computational models. " - Kevin Knight, USC Information Sciences Institute

Puzzles in Logic, Languages and Computation

Author : Dragomir Radev
Publisher : Springer Science & Business Media
ISBN 13 : 3642343783
Total Pages : 178 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Puzzles in Logic, Languages and Computation by : Dragomir Radev

Download or read book Puzzles in Logic, Languages and Computation written by Dragomir Radev and published by Springer Science & Business Media. This book was released on 2013-02-11 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first volume of a unique collection that brings together the best English-language problems created for students competing in the Computational Linguistics Olympiad. These problems are representative of the diverse areas presented in the competition and designed with three principles in mind: · To challenge the student analytically, without requiring any explicit knowledge or experience in linguistics or computer science; · To expose the student to the different kinds of reasoning required when encountering a new phenomenon in a language, both as a theoretical topic and as an applied problem; · To foster the natural curiosity students have about the workings of their own language, as well as to introduce them to the beauty and structure of other languages; · To learn about the models and techniques used by computers to understand human language. Aside from being a fun intellectual challenge, the Olympiad mimics the skills used by researchers and scholars in the field of computational linguistics. In an increasingly global economy where businesses operate across borders and languages, having a strong pool of computational linguists is a competitive advantage, and an important component to both security and growth in the 21st century. This collection of problems is a wonderful general introduction to the field of linguistics through the analytic problem solving technique. "A fantastic collection of problems for anyone who is curious about how human language works! These books take serious scientific questions and present them in a fun, accessible way. Readers exercise their logical thinking capabilities while learning about a wide range of human languages, linguistic phenomena, and computational models. " - Kevin Knight, USC Information Sciences Institute

Logic, Computation and Rigorous Methods

Author : Alexander Raschke
Publisher : Springer Nature
ISBN 13 : 3030760200
Total Pages : 367 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Logic, Computation and Rigorous Methods by : Alexander Raschke

Download or read book Logic, Computation and Rigorous Methods written by Alexander Raschke and published by Springer Nature. This book was released on 2021-06-04 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Festschrift was published in honor of Egon Börger on the occasion of his 75th birthday. It acknowledges Prof. Börger's inspiration as a scientist, author, mentor, and community organizer. Dedicated to a pioneer in the fields of logic and computer science, Egon Börger's research interests are unusual in scope, from programming languages to hardware architectures, software architectures, control systems, workflow and interaction patterns, business processes, web applications, and concurrent systems. The 18 invited contributions in this volume are by leading researchers in the areas of software engineering, programming languages, business information systems, and computer science logic.

Introduction to Computation

Author : Donald Sannella
Publisher : Springer Nature
ISBN 13 : 3030769089
Total Pages : 371 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Introduction to Computation by : Donald Sannella

Download or read book Introduction to Computation written by Donald Sannella and published by Springer Nature. This book was released on 2022-01-19 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computation, itself a form of calculation, incorporates steps that include arithmetical and non-arithmetical (logical) steps following a specific set of rules (an algorithm). This uniquely accessible textbook introduces students using a very distinctive approach, quite rapidly leading them into essential topics with sufficient depth, yet in a highly intuitive manner. From core elements like sets, types, Venn diagrams and logic, to patterns of reasoning, calculus, recursion and expression trees, the book spans the breadth of key concepts and methods that will enable students to readily progress with their studies in Computer Science.

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, Language and Computation

Author : Seiki Akama
Publisher : Springer Science & Business Media
ISBN 13 : 9780792343769
Total Pages : 272 pages
Book Rating : 4.3/5 (437 download)

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Book Synopsis Logic, Language and Computation by : Seiki Akama

Download or read book Logic, Language and Computation written by Seiki Akama and published by Springer Science & Business Media. This book was released on 1997-01-31 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: The editors of the Applied Logic Series are happy to present to the reader the fifth volume in the series, a collection of papers on Logic, Language and Computation. One very striking feature of the application of logic to language and to computation is that it requires the combination, the integration and the use of many diverse systems and methodologies - all in the same single application. The papers in this volume will give the reader a glimpse into the problems of this active frontier of logic. The Editors CONTENTS Preface IX 1. S. AKAMA Recent Issues in Logic, Language and Computation 1 2. M. J. CRESSWELL Restricted Quantification 27 3. B. H. SLATER The Epsilon Calculus' Problematic 39 4. K. VON HEUSINGER Definite Descriptions and Choice Functions 61 5. N. ASHER Spatio-Temporal Structure in Text 93 6. Y. NAKAYAMA DRT and Many-Valued Logics 131 7. S. AKAMA On Constructive Modality 143 8. H. W ANSING Displaying as Temporalizing: Sequent Systems for Subintuitionistic Logics 159 9. L. FARINAS DEL CERRO AND V. LUGARDON 179 Quantification and Dependence Logics 10. R. SYLVAN Relevant Conditionals, and Relevant Application Thereof 191 Index 245 Preface This is a collection of papers by distinguished researchers on Logic, Lin guistics, Philosophy and Computer Science. The aim of this book is to address a broad picture of the recent research on related areas. In particular, the contributions focus on natural language semantics and non-classical logics from different viewpoints.

Logic and Computation

Author : Lawrence C. Paulson
Publisher : Cambridge University Press
ISBN 13 : 9780521395601
Total Pages : 322 pages
Book Rating : 4.3/5 (956 download)

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Book Synopsis Logic and Computation by : Lawrence C. Paulson

Download or read book Logic and Computation written by Lawrence C. Paulson and published by Cambridge University Press. This book was released on 1987 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book 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 the methods of mathematical logic with domain theory, the basis of the denotational approach to specifying the meaning of program statements. Cambridge LCF is based on an earlier theorem-proving system, Edinburgh LCF, which introduced a design that gives the user flexibility to use and extend the system. A goal of this book is to explain the design, which has been adopted in several other systems. The book consists of two parts. Part I outlines the mathematical preliminaries, elementary logic and domain theory, and explains them at an intuitive level, giving reference to more advanced reading; Part II provides sufficient 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.

Computational Logic and Set Theory

Author : Jacob T. Schwartz
Publisher : Springer Science & Business Media
ISBN 13 : 0857298089
Total Pages : 426 pages
Book Rating : 4.8/5 (572 download)

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Book Synopsis Computational Logic and Set Theory by : Jacob T. Schwartz

Download or read book Computational Logic and Set Theory written by Jacob T. Schwartz and published by Springer Science & Business Media. This book was released on 2011-07-16 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This must-read text presents the pioneering work of the late Professor Jacob (Jack) T. Schwartz on computational logic and set theory and its application to proof verification techniques, culminating in the ÆtnaNova system, a prototype computer program designed to verify the correctness of mathematical proofs presented in the language of set theory. Topics and features: describes in depth how a specific first-order theory can be exploited to model and carry out reasoning in branches of computer science and mathematics; presents an unique system for automated proof verification in large-scale software systems; integrates important proof-engineering issues, reflecting the goals of large-scale verifiers; includes an appendix showing formalized proofs of ordinals, of various properties of the transitive closure operation, of finite and transfinite induction principles, and of Zorn’s lemma.

Time & Logic

Author : Leonard Bolc
Publisher : Routledge
ISBN 13 : 1000507319
Total Pages : 207 pages
Book Rating : 4.0/5 (5 download)

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Book Synopsis Time & Logic by : Leonard Bolc

Download or read book Time & Logic written by Leonard Bolc and published by Routledge. This book was released on 2019-10-24 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1995 Time and Logic examines understanding and application of temporal logic, presented in computational terms. The emphasis in the book is on presenting a broad range of approaches to computational applications. The techniques used will also be applicable in many cases to formalisms beyond temporal logic alone, and it is hoped that adaptation to many different logics of program will be facilitated. Throughout, the authors have kept implementation-orientated solutions in mind. The book begins with an introduction to the basic ideas of temporal logic. Successive chapters examine particular aspects of the temporal theoretical computing domain, relating their applications to familiar areas of research, such as stochastic process theory, automata theory, established proof systems, model checking, relational logic and classical predicate logic. This is an essential addition to the library of all theoretical computer scientists. It is an authoritative work which will meet the needs both of those familiar with the field and newcomers to it.

The Cultural Logic of Computation

Author : David Golumbia
Publisher : Harvard University Press
ISBN 13 : 0674032926
Total Pages : 268 pages
Book Rating : 4.6/5 (74 download)

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Book Synopsis The Cultural Logic of Computation by : David Golumbia

Download or read book The Cultural Logic of Computation written by David Golumbia and published by Harvard University Press. This book was released on 2009-04-30 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Golumbia, who worked as a software designer for more than ten years, argues that computers are cultural “all the way down”—that there is no part of the apparent technological transformation that is not shaped by historical and cultural processes, or that escapes existing cultural politics.

The Calculus of Computation

Author : Aaron R. Bradley
Publisher : Springer Science & Business Media
ISBN 13 : 3540741135
Total Pages : 375 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis The Calculus of Computation by : Aaron R. Bradley

Download or read book The Calculus of Computation written by Aaron R. Bradley and published by Springer Science & Business Media. This book was released on 2007-09-18 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written with graduate and advanced undergraduate students in mind, this textbook introduces computational logic from the foundations of first-order logic to state-of-the-art decision procedures for arithmetic, data structures, and combination theories. The textbook also presents a logical approach to engineering correct software. Verification exercises are given to develop the reader's facility in specifying and verifying software using logic. The treatment of verification concludes with an introduction to the static analysis of software, an important component of modern verification systems. The final chapter outlines courses of further study.

Introduction to the Theory of Computation

Author : Michael Sipser
Publisher : Cengage Learning
ISBN 13 : 9781133187790
Total Pages : 0 pages
Book Rating : 4.1/5 (877 download)

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Book Synopsis Introduction to the Theory of Computation by : Michael Sipser

Download or read book Introduction to the Theory of Computation written by Michael Sipser and published by Cengage Learning. This book was released on 2012-06-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now you can clearly present even the most complex computational theory topics to your students with Sipser’s distinct, market-leading INTRODUCTION TO THE THEORY OF COMPUTATION, 3E. The number one choice for today’s computational theory course, this highly anticipated revision retains the unmatched clarity and thorough coverage that make it a leading text for upper-level undergraduate and introductory graduate students. This edition continues author Michael Sipser’s well-known, approachable style with timely revisions, additional exercises, and more memorable examples in key areas. A new first-of-its-kind theoretical treatment of deterministic context-free languages is ideal for a better understanding of parsing and LR(k) grammars. This edition’s refined presentation ensures a trusted accuracy and clarity that make the challenging study of computational theory accessible and intuitive to students while maintaining the subject’s rigor and formalism. Readers gain a solid understanding of the fundamental mathematical properties of computer hardware, software, and applications with a blend of practical and philosophical coverage and mathematical treatments, including advanced theorems and proofs. INTRODUCTION TO THE THEORY OF COMPUTATION, 3E’s comprehensive coverage makes this an ideal ongoing reference tool for those studying theoretical computing. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.