Multiple-Valued Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Multiple-Valued Logic write by D. Michael Miller. This book was released on 2022-05-31. Multiple-Valued Logic available in PDF, EPUB and Kindle. 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
Many-Valued Logics 1
Many-Valued Logics 1 - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Many-Valued Logics 1 write by Leonard Bolc. This book was released on 2013-03-09. Many-Valued Logics 1 available in PDF, EPUB and Kindle. 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.
Many-valued Logic
Many-valued Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Many-valued Logic write by Nicholas Rescher. This book was released on 1969. Many-valued Logic available in PDF, EPUB and Kindle.
A Treatise on Many-valued Logics
A Treatise on Many-valued Logics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Treatise on Many-valued Logics write by Siegfried Gottwald. This book was released on 2001. A Treatise on Many-valued Logics available in PDF, EPUB and Kindle. A growing interest in many-valued logic has developed which to a large extent is based on applications, intended as well as already realised ones. These applications range from the field of computer science, e.g. in the areas of automated theorem proving, approximate reasoning, multi-agent systems, switching theory, and program verification, through the field of pure mathematics, e.g. in independence of consistency proofs, in generalized set theories, or in the theory of particular algebraic structures, into the fields of humanities, linguistics and philosophy.
Modern Uses of Multiple-Valued Logic
Modern Uses of Multiple-Valued Logic - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Modern Uses of Multiple-Valued Logic write by M. Dunn. This book was released on 2012-12-06. Modern Uses of Multiple-Valued Logic available in PDF, EPUB and Kindle. 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.
