Fundamentals Of Logic And Computation

Author : Zhe Hou
Publisher : Springer
Page : 222 pages
File Size : 55,5 Mb
Release : 2021-12-28
Category : Computers
ISBN : 3030878813

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Fundamentals of Logic and Computation by Zhe Hou Pdf

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.

Author : Zhe Hou
Publisher : Springer
Page : 0 pages
File Size : 53,6 Mb
Release : 2022-12-05
Category : Computers
ISBN : 3030878848

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Fundamentals of Logic and Computation by Zhe Hou Pdf

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.

Author : Rex Page,Ruben Gamboa
Publisher : MIT Press
Page : 305 pages
File Size : 54,9 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 : Allen B. Tucker,Bradley W. James,Robert D. Cupper
Publisher : McGraw-Hill Companies
Page : 154 pages
File Size : 45,5 Mb
Release : 1991-11-01
Category : Pascal (Computer program language)
ISBN : 0070654514

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Fundamentals of Computing I by Allen B. Tucker,Bradley W. James,Robert D. Cupper Pdf

Author : Dov M. Gabbay,Jörg H. Siekmann,John Woods
Publisher : Newnes
Page : 736 pages
File Size : 50,8 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 : Richard Zach
Publisher : Unknown
Page : 418 pages
File Size : 41,5 Mb
Release : 2021-07-13
Category : Electronic
ISBN : 9798536395509

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Sets, Logic, Computation by Richard Zach Pdf

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.

Author : Lawrence C. Paulson
Publisher : Cambridge University Press
Page : 322 pages
File Size : 40,8 Mb
Release : 1987
Category : Computers
ISBN : 0521395607

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Logic and Computation by Lawrence C. Paulson Pdf

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.

Author : Vasco Brattka,Hannes Diener,Dieter Spreen
Publisher : Walter de Gruyter GmbH & Co KG
Page : 424 pages
File Size : 48,5 Mb
Release : 2014-09-04
Category : Philosophy
ISBN : 9781614518044

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Logic, Computation, Hierarchies by Vasco Brattka,Hannes Diener,Dieter Spreen Pdf

Published in honor of Victor L. Selivanov, the 17 articles collected in this volume inform on the latest developments in computability theory and its applications in computable analysis; descriptive set theory and topology; and the theory of omega-languages; as well as non-classical logics, such as temporal logic and paraconsistent logic. This volume will be of interest to mathematicians and logicians, as well as theoretical computer scientists.

Author : A. Sernadas,Cristina Sernadas
Publisher : Unknown
Page : 0 pages
File Size : 50,9 Mb
Release : 2008
Category : Computational complexity
ISBN : 1904987885

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Foundations of Logic and Theory of Computation by A. Sernadas,Cristina Sernadas Pdf

The book provides a self-contained introduction to mathematical logic and computability theory for students of mathematics or computer science. It is organized around the failures and successes of Hilbert's programme for the formalization of Mathematics. It is widely known that the programme failed with Gödel's incompleteness theorems and related negative results about arithmetic. Unfortunately, the positive outcomes of the programme are less well known, even among mathematicians. The book covers key successes, like Gödel's proof of the completeness of first-order logic, Gentzen's proof of its consistency by purely symbolic means, and the decidability of a couple of useful theories. The book also tries to convey the message that Hilbert's programme made a significant contribution to the advent of the computer as it is nowadays understood and, thus, to the latest industrial revolution. Part I of the book addresses Hilbert's programme and computability. Part II presents first-order logic, including Gödel's completeness theorem and Gentzen's consistency theorem. Part III is focused on arithmetic, representability of computable maps, Gödel's incompleteness theorems and decidability of Presburger arithmetic. Part IV provides detailed answers to selected exercises. The book can be used at late undergraduate level or early graduate level. An undergraduate course would concentrate on Parts I and II, leaving out the Gentzen calculus, and sketching the way to the 1st incompleteness theorem. A more advanced course might skip early material already known to the students and concentrate on the positive and negative results of Hilbert's programme, thus covering Gentzen's proof of consistency and Part III in full.

Author : Jean H. Gallier
Publisher : Courier Dover Publications
Page : 532 pages
File Size : 47,9 Mb
Release : 2015-06-18
Category : Mathematics
ISBN : 9780486780825

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Logic for Computer Science by Jean H. Gallier Pdf

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.

Author : Jeremy Avigad
Publisher : Cambridge University Press
Page : 527 pages
File Size : 54,7 Mb
Release : 2022-09-30
Category : Computers
ISBN : 9781108478755

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Mathematical Logic and Computation by Jeremy Avigad Pdf

A thorough introduction to the fundamental methods and results in mathematical logic, and its foundational role in computer science.

Author : Michael Huth,Mark Ryan
Publisher : Cambridge University Press
Page : 366 pages
File Size : 54,6 Mb
Release : 2004-08-26
Category : Computers
ISBN : 9781139453059

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Logic in Computer Science by Michael Huth,Mark Ryan Pdf

Recent years have seen the development of powerful tools for verifying hardware and software systems, as companies worldwide realise the need for improved means of validating their products. There is increasing demand for training in basic methods in formal reasoning so that students can gain proficiency in logic-based verification methods. The second edition of this successful textbook addresses both those requirements, by continuing to provide a clear introduction to formal reasoning which is both relevant to the needs of modern computer science and rigorous enough for practical application. Improvements to the first edition have been made throughout, with extra and expanded sections on SAT solvers, existential/universal second-order logic, micro-models, programming by contract and total correctness. The coverage of model-checking has been substantially updated. Further exercises have been added. Internet support for the book includes worked solutions for all exercises for teachers, and model solutions to some exercises for students.

Author : Allen B. Tucker
Publisher : Unknown
Page : 497 pages
File Size : 48,5 Mb
Release : 1994
Category : Computer
ISBN : 007113705X

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Fundamentals of Computing by Allen B. Tucker Pdf

Author : Carol Critchlow,David Eck
Publisher : Unknown
Page : 128 pages
File Size : 54,7 Mb
Release : 2011
Category : Computer science
ISBN : OCLC:1148175537

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Foundations of Computation \ by Carol Critchlow,David Eck Pdf

Author : James M. Keller,Derong Liu,David B. Fogel
Publisher : John Wiley & Sons
Page : 378 pages
File Size : 40,8 Mb
Release : 2016-07-13
Category : Technology & Engineering
ISBN : 9781119214366

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Fundamentals of Computational Intelligence by James M. Keller,Derong Liu,David B. Fogel Pdf

Provides an in-depth and even treatment of the three pillars of computational intelligence and how they relate to one another This book covers the three fundamental topics that form the basis of computational intelligence: neural networks, fuzzy systems, and evolutionary computation. The text focuses on inspiration, design, theory, and practical aspects of implementing procedures to solve real-world problems. While other books in the three fields that comprise computational intelligence are written by specialists in one discipline, this book is co-written by current former Editor-in-Chief of IEEE Transactions on Neural Networks and Learning Systems, a former Editor-in-Chief of IEEE Transactions on Fuzzy Systems, and the founding Editor-in-Chief of IEEE Transactions on Evolutionary Computation. The coverage across the three topics is both uniform and consistent in style and notation. Discusses single-layer and multilayer neural networks, radial-basis function networks, and recurrent neural networks Covers fuzzy set theory, fuzzy relations, fuzzy logic interference, fuzzy clustering and classification, fuzzy measures and fuzzy integrals Examines evolutionary optimization, evolutionary learning and problem solving, and collective intelligence Includes end-of-chapter practice problems that will help readers apply methods and techniques to real-world problems Fundamentals of Computational intelligence is written for advanced undergraduates, graduate students, and practitioners in electrical and computer engineering, computer science, and other engineering disciplines.