Modern Uses of Multiple-Valued Logic

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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.

MODERN USES OF MULTIPLE VALUED LOGIC- INVITED PAPERS- 5TH INTERNATIONAL SYMPOSIUM ON MULTIPLE VALUED LOGIC.

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Book Synopsis MODERN USES OF MULTIPLE VALUED LOGIC- INVITED PAPERS- 5TH INTERNATIONAL SYMPOSIUM ON MULTIPLE VALUED LOGIC. by :

Download or read book MODERN USES OF MULTIPLE VALUED LOGIC- INVITED PAPERS- 5TH INTERNATIONAL SYMPOSIUM ON MULTIPLE VALUED LOGIC. written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Uses of multiple-valued logic

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Publisher :
ISBN 13 : 9789401011624
Total Pages : 348 pages
Book Rating : 4.0/5 (116 download)

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Book Synopsis Modern Uses of multiple-valued logic by : John Michael Dunn

Download or read book Modern Uses of multiple-valued logic written by John Michael Dunn and published by . This book was released on 1977 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Uses of Multiple-Valued Logic

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (472 download)

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

Download or read book Modern Uses of Multiple-Valued Logic written by Michael J. Dunn and published by . This book was released on 1975 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Multiple-Valued Logic

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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

Modern Uses of Multiple-valued Logic

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Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.:/5 (11 download)

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Book Synopsis Modern Uses of Multiple-valued Logic by : Jon Michael Dunn

Download or read book Modern Uses of Multiple-valued Logic written by Jon Michael Dunn and published by . This book was released on 1977 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Modern Uses of Multiple-valued Logic : Invited Papers, Bloomington, Ind., 1975

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Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.:/5 (989 download)

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Book Synopsis Modern Uses of Multiple-valued Logic : Invited Papers, Bloomington, Ind., 1975 by : J. Michael Dunn

Download or read book Modern Uses of Multiple-valued Logic : Invited Papers, Bloomington, Ind., 1975 written by J. Michael Dunn and published by . This book was released on with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Beyond Two: Theory and Applications of Multiple-Valued Logic

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Author :
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.

Modern Uses of Multiple-Valued Logic

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Publisher : Springer
ISBN 13 : 9789027707475
Total Pages : 340 pages
Book Rating : 4.7/5 (74 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. This book was released on 1977-11-30 with total page 340 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.

Modern Uses of Multiple-valued Logic

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)

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Book Synopsis Modern Uses of Multiple-valued Logic by :

Download or read book Modern Uses of Multiple-valued Logic written by and published by . This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

MODERN USES OF MULTIPLE VALUED LOGIC

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Publisher :
ISBN 13 :
Total Pages : 338 pages
Book Rating : 4.:/5 (18 download)

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Book Synopsis MODERN USES OF MULTIPLE VALUED LOGIC by :

Download or read book MODERN USES OF MULTIPLE VALUED LOGIC written by and published by . This book was released on 1977 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt:

ISMVL '98

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Publisher :
ISBN 13 :
Total Pages : 61 pages
Book Rating : 4.:/5 (437 download)

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Book Synopsis ISMVL '98 by : Tsutomu Sasao

Download or read book ISMVL '98 written by Tsutomu Sasao and published by . This book was released on 1999 with total page 61 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Many Valued and Nonmonotonic Turn in Logic

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Publisher : Elsevier
ISBN 13 : 008054939X
Total Pages : 691 pages
Book Rating : 4.0/5 (85 download)

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Book Synopsis The Many Valued and Nonmonotonic Turn in Logic by : Dov M. Gabbay

Download or read book The Many Valued and Nonmonotonic Turn in Logic written by Dov M. Gabbay and published by Elsevier. This book was released on 2007-08-13 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence.The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called “left non-monotonicity , it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called “right non-monotonicity , limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained.In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics allow certain selected sentences to have, as a third truth value, the classical values of truth and falsity together. So such logics also admit classically inconsistent inputs. A central task is to construct a right non-monotonic consequence relation that allows for these many-valued, and inconsistent, inputs.The Many Valued and Non-Monotonic Turn in Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas. Detailed and comprehensive chapters covering the entire range of modal logic. Contains the latest scholarly discoveries and interprative insights that answers many questions in the field of logic.

Multiple-Valued Logic Design

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Author :
Publisher : Routledge
ISBN 13 : 1351429620
Total Pages : 383 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 383 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.

The Implementation and Applications of Multiple-valued Logic

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (61 download)

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Book Synopsis The Implementation and Applications of Multiple-valued Logic by : Christopher Turrall Clarke

Download or read book The Implementation and Applications of Multiple-valued Logic written by Christopher Turrall Clarke and published by . This book was released on 1993 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Many-Valued Logics 1

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Publisher : Springer Science & Business Media
ISBN 13 : 3662084945
Total Pages : 296 pages
Book Rating : 4.6/5 (62 download)

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Book Synopsis Many-Valued Logics 1 by : Leonard Bolc

Download or read book Many-Valued Logics 1 written by Leonard Bolc and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many-valued logics were developed as an attempt to handle philosophical doubts about the "law of excluded middle" in classical logic. The first many-valued formal systems were developed by J. Lukasiewicz in Poland and E.Post in the U.S.A. in the 1920s, and since then the field has expanded dramatically as the applicability of the systems to other philosophical and semantic problems was recognized. Intuitionisticlogic, for example, arose from deep problems in the foundations of mathematics. Fuzzy logics, approximation logics, and probability logics all address questions that classical logic alone cannot answer. All these interpretations of many-valued calculi motivate specific formal systems thatallow detailed mathematical treatment. In this volume, the authors are concerned with finite-valued logics, and especially with three-valued logical calculi. Matrix constructions, axiomatizations of propositional and predicate calculi, syntax, semantic structures, and methodology are discussed. Separate chapters deal with intuitionistic logic, fuzzy logics, approximation logics, and probability logics. These systems all find application in practice, in automatic inference processes, which have been decisive for the intensive development of these logics. This volume acquaints the reader with theoretical fundamentals of many-valued logics. It is intended to be the first of a two-volume work. The second volume will deal with practical applications and methods of automated reasoning using many-valued logics.

Neutrality and Many-Valued Logics

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Publisher : Infinite Study
ISBN 13 : 159973026X
Total Pages : 123 pages
Book Rating : 4.5/5 (997 download)

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Book Synopsis Neutrality and Many-Valued Logics by : Andrew Schumann

Download or read book Neutrality and Many-Valued Logics written by Andrew Schumann and published by Infinite Study. This book was released on 2007 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we consider various many-valued logics: standard, linear, hyperbolic, parabolic, non-Archimedean, p-adic, interval, neutrosophic, etc. We survey also results which show the tree different proof-theoretic frameworks for many-valued logics, e.g. frameworks of the following deductive calculi: Hilbert's style, sequent, and hypersequent. Recall that hypersequents are a natural generalization of Gentzen's style sequents that was introduced independently by Avron and Pottinger. In particular, we consider Hilbert's style, sequent, and hypersequent calculi for infinite-valued logics based on the three fundamental continuous t-norms: Lukasiewicz's, Godel?s, and Product logics. We present a general way that allows to construct systematically analytic calculi for a large family of non-Archimedean many-valued logics: hyperrational-valued, hyperreal-valued, and p-adic valued logics characterized by a special format of semantics with an appropriate rejection of Archimedes' axiom. These logics are built as different extensions of standard many-valued logics (namely, Lukasiewicz's, Godel?s, Product, and Post's logics). The informal sense of Archimedes' axiom is that anything can be measured by a ruler. Also logical multiple-validity without Archimedes' axiom consists in that the set of truth values is infinite and it is not well-founded and well-ordered. We consider two cases of non-Archimedean multi-valued logics: the first with many-validity in the interval [0,1] of hypernumbers and the second with many-validity in the ring of p-adic integers. Notice that in the second case we set discrete infinite-valued logics. Logics investigated: 1. hyperrational valued Lukasiewicz's, Godel?s, and Product logics, 2. hyperreal valued Lukasiewicz's, Godel?s, and Product logics, 3. p-adic valued Lukasiewicz's, Godel?s, and Post's logics.