Computer Science And Multiple Valued Logic

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Computer Science and Multiple-Valued Logic

Author : David C. Rine
Publisher : Elsevier
ISBN 13 : 1483257924
Total Pages : 562 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Computer Science and Multiple-Valued Logic by : David C. Rine

Download or read book Computer Science and Multiple-Valued Logic written by David C. Rine and published by Elsevier. This book was released on 2014-05-12 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computer Science and Multiple-Valued Logic: Theory and Applications focuses on the processes, methodologies, and approaches involved in multiple-valued logic and its relationship to computer science. The selection first tackles an introduction to multiple-valued logic, lattice theory of post algebras, multiple-valued logic design and applications in binary computers, smallest many-valued logic for the treatment of complemented and uncomplemented error signals, and chain based lattices. Discussions focus on formulation, representation theory, theory and circuit design, logical tables, and unary operations. The text then examines multiple-valued signal processing with limiting, development of multiple-valued logic as related to computer science, p-algebras, and an algorithm for axiomatizing every finite logic. The book takes a look at completeness properties of multiple-valued logic algebras, computer simplification of multi-valued switching functions, and minimization of multivalued functions. Topics include generation of prime implicants, realizations, minimization algorithms, decomposition algorithm for multi-valued switching functions, and relation between the sum-of-products form and array of cubes. The selection is aimed at computer engineers, computer scientists, applied mathematicians, and physicists interested in multiple-valued logic as the discipline relates to computer engineering and computer science.

Multiple-Valued Logic Design

Author : G Epstein
Publisher : Routledge
ISBN 13 : 1351429612
Total Pages : 282 pages
Book Rating : 4.3/5 (514 download)

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Book Synopsis Multiple-Valued Logic Design by : G Epstein

Download or read book Multiple-Valued Logic Design written by G Epstein and published by Routledge. This book was released on 2017-09-29 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple-Valued Logic Design: An Introduction explains the theory and applications of this increasingly important subject. Written in a clear and understandable style, the author develops the material in a skillful way. Without using a huge mathematical apparatus, he introduces the subject in a general form that includes the well-known binary logic as a special case. The book is further enhanced by more 200 explanatory diagrams and circuits, hardware and software applications with supporting PASCAL programming, and comprehensive exercises with even-numbered answers for every chapter. Requiring introductory knowledge in Boolean algebra, 2-valued logic, or 2-valued switching theory, Multiple-Valued Logic Design: An Introduction is an ideal book for courses not only in logic design, but also in switching theory, nonclassical logic, and computer arithmetic. Computer scientists, mathematicians, and electronic engineers can also use the book as a basis for research into multiple-valued logic design.

Modern Uses of Multiple-Valued Logic

Author : M. Dunn
Publisher : Springer Science & Business Media
ISBN 13 : 9401011613
Total Pages : 341 pages
Book Rating : 4.4/5 (1 download)

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Book Synopsis Modern Uses of Multiple-Valued Logic by : M. Dunn

Download or read book Modern Uses of Multiple-Valued Logic written by M. Dunn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a collection of invited papers from the 1975 International Sym posium on Multiple-valued Logic. Also included is an extensive bib liography of works in the field of multiple-valued logic prior to 1975 - this supplements and extends an earlier bibliography of works prior to 1965, by Nicholas Rescher in his book Many-Valued Logic, McGraw-Hill, 1969. There are a number of possible reasons for interest in the present volume. First, the range of various uses covered in this collection of papers may be taken as indicative of a breadth which occurs in the field of multiple-valued logic as a whole - the papers here can do no more than cover a small sample: question-answering systems, analysis of computer hazards, algebraic structures relating to multiple-valued logic, algebra of computer programs, fuzzy sets. Second, a large part of the interest in such uses and applications has occurred in the last twenty, even ten years. It would be too much to expect this to be reflected in Rescher's 1969 book. Third, in the 1970's a series of annual symposia have been held on multiple-valued logic, which have brought much of this into a sharp focus. * The 1971 and 1972 symposia were held at the SUNY at Buffalo, the 1973 symposium at the Uni versity of Toronto, and the 1974 symposium at West Virginia Uni versity. Papers from these symposia are included in the bibliography which may be found in an appendix of this book.

Representation of Multiple-valued Logic Functions

Author : Radomir S. Stanković
Publisher : Morgan & Claypool Publishers
ISBN 13 : 160845942X
Total Pages : 171 pages
Book Rating : 4.6/5 (84 download)

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Book Synopsis Representation of Multiple-valued Logic Functions by : Radomir S. Stanković

Download or read book Representation of Multiple-valued Logic Functions written by Radomir S. Stanković and published by Morgan & Claypool Publishers. This book was released on 2012 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compared to binary switching functions, the multiple-valued functions (MV) offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. This book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts (various related decision diagrams). Three-valued, or ternary functions, are traditionally used as the first extension from the binary case. They have a good feature that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favourable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easy coded by binary values and realized with two-stable state circuits. At the same time, there is much more considerable advent in design of four-valued logic circuits than for other $p$-valued functions. Therefore, this book is written using a hands-on approach such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quaternary functions that should provide an intuitive understanding of various representation methods and the interconnections among them.

Representations of Multiple-Valued Logic Functions

Author : Radomir S. Stankovic
Publisher : Springer Nature
ISBN 13 : 303179852X
Total Pages : 154 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Representations of Multiple-Valued Logic Functions by : Radomir S. Stankovic

Download or read book Representations of Multiple-Valued Logic Functions written by Radomir S. Stankovic and published by Springer Nature. This book was released on 2022-06-01 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Compared to binary switching functions, the multiple-valued functions (MV) offer more compact representations of the information content of signals modeled by logic functions and, therefore, their use fits very well in the general settings of data compression attempts and approaches. The first task in dealing with such signals is to provide mathematical methods for their representation in a way that will make their application in practice feasible. Representation of Multiple-Valued Logic Functions is aimed at providing an accessible introduction to these mathematical techniques that are necessary for application of related implementation methods and tools. This book presents in a uniform way different representations of multiple-valued logic functions, including functional expressions, spectral representations on finite Abelian groups, and their graphical counterparts (various related decision diagrams). Three-valued, or ternary functions, are traditionally used as the first extension from the binary case. They have a good feature that the ratio between the number of bits and the number of different values that can be encoded with the specified number of bits is favourable for ternary functions. Four-valued functions, also called quaternary functions, are particularly attractive, since in practical realization within today prevalent binary circuits environment, they may be easy coded by binary values and realized with two-stable state circuits. At the same time, there is much more considerable advent in design of four-valued logic circuits than for other $p$-valued functions. Therefore, this book is written using a hands-on approach such that after introducing the general and necessarily abstract background theory, the presentation is based on a large number of examples for ternary and quaternary functions that should provide an intuitive understanding of various representation methods and the interconnections among them. Table of Contents: Multiple-Valued Logic Functions / Functional Expressions for Multiple-Valued Functions / Spectral Representations of Multiple-Valued Functions / Decision Diagrams for Multiple-Valued Functions / Fast Calculation Algorithms

Multiple-Valued Logic

Author : D. Michael Miller
Publisher : Springer Nature
ISBN 13 : 3031797795
Total Pages : 135 pages
Book Rating : 4.0/5 (317 download)

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Book Synopsis Multiple-Valued Logic by : D. Michael Miller

Download or read book Multiple-Valued Logic written by D. Michael Miller and published by Springer Nature. This book was released on 2022-05-31 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Multiple Valued Logic: Concepts and Representations begins with a survey of the use ofmultiple-valued logic in several modern application areas including electronic design automation algorithms and circuit design. The mathematical basis and concepts of various algebras and systems of multiple valued logic are provided including comparisons among various systems and examples of their application. The book also provides an examination of alternative representations of multiple-valued logic suitable for implementation as data structures in automated computer applications. Decision diagram structures for multiple valued applications are described in detail with particular emphasis on the recently developed quantum multiple valued decision diagram. Table of Contents: Multiple Valued Logic Applications / MVL Concepts and Algebra / Functional Representations / Reversible andQuantum Circuits / Quantum Multiple-Valued Decision Diagrams / Summary / Bibliography

Beyond Two: Theory and Applications of Multiple-Valued Logic

Author : Melvin Fitting
Publisher : Physica
ISBN 13 : 3790817694
Total Pages : 374 pages
Book Rating : 4.7/5 (98 download)

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Book Synopsis Beyond Two: Theory and Applications of Multiple-Valued Logic by : Melvin Fitting

Download or read book Beyond Two: Theory and Applications of Multiple-Valued Logic written by Melvin Fitting and published by Physica. This book was released on 2013-06-05 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume represents the state of the art for much current research in many-valued logics. Primary researchers in the field are among the authors. Major methodological issues of many-valued logics are treated, as well as applications of many-valued logics to reasoning with fuzzy information. Areas covered include: Algebras of multiple valued logics and their applications, proof theory and automated deduction in multiple valued logics, fuzzy logics and their applications, and multiple valued logics for control theory and rational belief.

Claudio Moraga: A Passion for Multi-Valued Logic and Soft Computing

Author : Rudolf Seising
Publisher : Springer
ISBN 13 : 331948317X
Total Pages : 382 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Claudio Moraga: A Passion for Multi-Valued Logic and Soft Computing by : Rudolf Seising

Download or read book Claudio Moraga: A Passion for Multi-Valued Logic and Soft Computing written by Rudolf Seising and published by Springer. This book was released on 2016-10-20 with total page 382 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an authoritative collection of contributions by leading experts on the topics of fuzzy logic, multi-valued logic and neural network. Originally written as an homage to Claudio Moraga, seen by his colleagues as an example of concentration, discipline and passion for science, the book also represents a timely reference guide for advance students and researchers in the field of soft computing, and multiple-valued logic.

Multiple-Valued Logic

Author : Institute of Electrical and Electronics Engineers, Inc. Staff
Publisher :
ISBN 13 : 9780769501611
Total Pages : 300 pages
Book Rating : 4.5/5 (16 download)

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Book Synopsis Multiple-Valued Logic by : Institute of Electrical and Electronics Engineers, Inc. Staff

Download or read book Multiple-Valued Logic written by Institute of Electrical and Electronics Engineers, Inc. Staff and published by . This book was released on 1999 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers the 29th International Conference on Multi-Valued Logic, looking at computational mathematics and complexity theory. It is aimed at researchers, professors, practitioners, students and other computing professionals."

Logic Design of NanoICS

Author : Svetlana N. Yanushkevich
Publisher : CRC Press
ISBN 13 : 1351836323
Total Pages : 488 pages
Book Rating : 4.3/5 (518 download)

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Book Synopsis Logic Design of NanoICS by : Svetlana N. Yanushkevich

Download or read book Logic Design of NanoICS written by Svetlana N. Yanushkevich and published by CRC Press. This book was released on 2017-12-19 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: Today's engineers will confront the challenge of a new computing paradigm, relying on micro- and nanoscale devices. Logic Design of NanoICs builds a foundation for logic in nanodimensions and guides you in the design and analysis of nanoICs using CAD. The authors present data structures developed toward applications rather than a purely theoretical treatment. Requiring only basic logic and circuits background, Logic Design of NanoICs draws connections between traditional approaches to design and modern design in nanodimensions. The book begins with an introduction to the directions and basic methodology of logic design at the nanoscale, then proceeds to nanotechnologies and CAD, graphical representation of switching functions and networks, word-level and linear word-level data structures, 3-D topologies based on hypercubes, multilevel circuit design, and fault-tolerant computation in hypercube-like structures. The authors propose design solutions and techniques, going beyond the underlying technology to provide more applied knowledge. This design-oriented reference is written for engineers interested in developing the next generation of integrated circuitry, illustrating the discussion with approximately 250 figures and tables, 100 equations, 250 practical examples, and 100 problems. Each chapter concludes with a summary, references, and a suggested reading section.

Many-Valued Logics 2

Author : Leonard Bolc
Publisher : Springer Science & Business Media
ISBN 13 : 9783540645078
Total Pages : 328 pages
Book Rating : 4.6/5 (45 download)

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Book Synopsis Many-Valued Logics 2 by : Leonard Bolc

Download or read book Many-Valued Logics 2 written by Leonard Bolc and published by Springer Science & Business Media. This book was released on 2003-10-23 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many-valued logics are becoming increasingly important in all areas of computer science. This is the second volume of an authoritative two-volume handbook on many valued logics by two leading figures in the field. While the first volume was mainly concerned with theoretical foundations, this volume emphasizes automated reasoning, practical applications, and the latest developments in fuzzy logic and rough set theory. Among the applications presented are those in software specification and electronic circuit verification.

Logical Foundations of Computer Science

Author : Sergei Artemov
Publisher : Springer
ISBN 13 : 3540926879
Total Pages : 469 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Logical Foundations of Computer Science by : Sergei Artemov

Download or read book Logical Foundations of Computer Science written by Sergei Artemov and published by Springer. This book was released on 2009-02-11 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the International Symposium on Logical Foundations of Computer Science, LFCS 2009, held in Deerfield Beach, Florida, USA in January 2008. The volume presents 31 revised refereed papers carefully selected by the program committee. All current aspects of logic in computer science are addressed, including constructive mathematics and type theory, logical foundations of programming, logical aspects of computational complexity, logic programming and constraints, automated deduction and interactive theorem proving, logical methods in protocol and program verification and in program specification and extraction, domain theory logics, logical foundations of database theory, equational logic and term rewriting, lambda and combinatory calculi, categorical logic and topological semantics, linear logic, epistemic and temporal logics, intelligent and multiple agent system logics, logics of proof and justification, nonmonotonic reasoning, logic in game theory and social software, logic of hybrid systems, distributed system logics, system design logics, as well as other logics in computer science.

Computer Arithmetics for Nanoelectronics

Author : Vlad P. Shmerko
Publisher : CRC Press
ISBN 13 : 1420066234
Total Pages : 780 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Computer Arithmetics for Nanoelectronics by : Vlad P. Shmerko

Download or read book Computer Arithmetics for Nanoelectronics written by Vlad P. Shmerko and published by CRC Press. This book was released on 2018-10-03 with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt: Emphasizes the Basic Principles of Computational Arithmetic and Computational Structure Design Taking an interdisciplinary approach to the nanoscale generation of computer devices and systems, Computer Arithmetics for Nanoelectronics develops a consensus between computational properties provided by data structures and phenomenological properties of nano and molecular technology. Covers All Stages of the Design Cycle, from Task Formulation to Molecular-Based Implementation The book introduces the theoretical base and properties of various data structures, along with techniques for their manipulation, optimization, and implementation. It also assigns the computational properties of logic design data structures to 3D structures, furnishes information-theoretical measures and design aspects, and discusses the testability problem. The last chapter presents a nanoscale prospect for natural computing based on assorted computing paradigms from nature. Balanced Coverage of State-of-the-Art Concepts, Techniques, and Practices Up-to-date, comprehensive, and pragmatic in its approach, this text provides a unified overview of the relationship between the fundamentals of digital system design, computer architectures, and micro- and nanoelectronics.

The Computer Engineering Handbook

Author : Vojin G. Oklobdzija
Publisher : CRC Press
ISBN 13 : 1420041541
Total Pages : 1409 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis The Computer Engineering Handbook by : Vojin G. Oklobdzija

Download or read book The Computer Engineering Handbook written by Vojin G. Oklobdzija and published by CRC Press. This book was released on 2001-12-26 with total page 1409 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is arguably no field in greater need of a comprehensive handbook than computer engineering. The unparalleled rate of technological advancement, the explosion of computer applications, and the now-in-progress migration to a wireless world have made it difficult for engineers to keep up with all the developments in specialties outside their own

Multi-Valued Reasoning about Reactive Systems

Author : Orna Kupferman
Publisher :
ISBN 13 : 9781638281382
Total Pages : 0 pages
Book Rating : 4.2/5 (813 download)

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Book Synopsis Multi-Valued Reasoning about Reactive Systems by : Orna Kupferman

Download or read book Multi-Valued Reasoning about Reactive Systems written by Orna Kupferman and published by . This book was released on 2022-12 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Traditionally computer science has been Boolean in nature giving rise to systems based on proving correctness. Correctness is binary, but many questions we want to ask about systems are multi-valued. In modern computing systems this is becoming increasingly insufficient. In particular, beyond checking whether a system satisfies its specification, we may want to evaluate the quality in which the specification is satisfied. This has led to a shift from Boolean specification formalisms to multi-valued ones, which involves a development of multi-valued temporal logics as well as algorithms and tools for reasoning about such logics. This timely in-depth review describes the basics of specification and verification of reactive systems, and the automata-theoretic approach for them: by translating temporal-logic formulas to automata. As introductory material, the author describes the Boolean setting in which the formalisms specify infinite computations. This begins with linear temporal logic, and then focusses on automata on infinite words and their theoretical properties. The author then shows how to refine the Boolean correctness query by a quantitative one in two multi-valued settings. The formalisms introduced are such that the satisfaction value of a temporal-logic formula in a computation, or the membership value of a word in the language of an automaton, are multi valued, and classical decision problems become search problems. Multi-Valued Reasoning about Reactive Systems is a concise source for all researchers and students wishing to understand quickly the theory behind the topic and the context it has within the wider active research branch.

Computer Science Logic

Author : Egon Börger
Publisher : Springer Science & Business Media
ISBN 13 : 9783540557890
Total Pages : 444 pages
Book Rating : 4.5/5 (578 download)

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Book Synopsis Computer Science Logic by : Egon Börger

Download or read book Computer Science Logic written by Egon Börger and published by Springer Science & Business Media. This book was released on 1992-09-10 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents the proceedings of the workshop CSL '91 (Computer Science Logic) held at the University of Berne, Switzerland, October 7-11, 1991. This was the fifth in a series of annual workshops on computer sciencelogic (the first four are recorded in LNCS volumes 329, 385, 440, and 533). The volume contains 33 invited and selected papers on a variety of logical topics in computer science, including abstract datatypes, bounded theories, complexity results, cut elimination, denotational semantics, infinitary queries, Kleene algebra with recursion, minimal proofs, normal forms in infinite-valued logic, ordinal processes, persistent Petri nets, plausibility logic, program synthesis systems, quantifier hierarchies, semantics of modularization, stable logic, term rewriting systems, termination of logic programs, transitive closure logic, variants of resolution, and many others.

Handbook of Philosophical Logic

Author : Dov M. Gabbay
Publisher : Springer Science & Business Media
ISBN 13 : 940170452X
Total Pages : 417 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Handbook of Philosophical Logic by : Dov M. Gabbay

Download or read book Handbook of Philosophical Logic written by Dov M. Gabbay and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is with great pleasure that we are presenting to the community the second edition of this extraordinary handbook. It has been over 15 years since the publication of the first edition and there have been great changes in the landscape of philosophical logic since then. The first edition has proved invaluable to generations of students and researchers in formal philosophy and language, as weIl as to consumers of logic in many applied areas. The main logic artiele in the Encyelopaedia Britannica 1999 has described the first edition as 'the best starting point for exploring any of the topics in logic'. We are confident that the second edition will prove to be just as good. ! The first edition was the second handbook published for the logic commu nity. It followed the North Holland one volume Handbook 0/ Mathematical Logic, published in 1977, edited by the late Jon Barwise. The four volume Handbook 0/ Philosophical Logic, published 1983-1989 came at a fortunate at the evolution of logic. This was the time when logic temporal junction was gaining ground in computer science and artificial intelligence cireles. These areas were under increasing commercial pressure to provide devices which help andjor replace the human in his daily activity. This pressure required the use of logic in the modelling of human activity and organisa tion on the one hand and to provide the theoretical basis for the computer program constructs on the other.