Many Valued Logics 2
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Many Valued Logics 2
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Author : Leonard Bolc
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-10-23
Many Valued Logics 2 written by Leonard Bolc and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-10-23 with Mathematics categories.
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.
Neutrality And Many Valued Logics
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Author : Andrew Schumann
language : en
Publisher: Infinite Study
Release Date : 2007
Neutrality And Many Valued Logics written by Andrew Schumann and has been published by Infinite Study this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.
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.
A Treatise On Many Valued Logics
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Author : Siegfried Gottwald
language : en
Publisher:
Release Date : 2001
A Treatise On Many Valued Logics written by Siegfried Gottwald and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.
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.
Quantified Representation Of Uncertainty And Imprecision
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Author : Dov M. Gabbay
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-10-31
Quantified Representation Of Uncertainty And Imprecision written by Dov M. Gabbay and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-10-31 with Philosophy categories.
We are happy to present the first volume of the Handbook of Defeasible Reasoning and Uncertainty Management Systems. Uncertainty pervades the real world and must therefore be addressed by every system that attempts to represent reality. The representation of uncertainty is a ma jor concern of philosophers, logicians, artificial intelligence researchers and com puter sciencists, psychologists, statisticians, economists and engineers. The present Handbook volumes provide frontline coverage of this area. This Handbook was produced in the style of previous handbook series like the Handbook of Philosoph ical Logic, the Handbook of Logic in Computer Science, the Handbook of Logic in Artificial Intelligence and Logic Programming, and can be seen as a companion to them in covering the wide applications of logic and reasoning. We hope it will answer the needs for adequate representations of uncertainty. This Handbook series grew out of the ESPRIT Basic Research Project DRUMS II, where the acronym is made out of the Handbook series title. This project was financially supported by the European Union and regroups 20 major European research teams working in the general domain of uncertainty. As a fringe benefit of the DRUMS project, the research community was able to create this Hand book series, relying on the DRUMS participants as the core of the authors for the Handbook together with external international experts.
The Twenty Third International Symposium On Multiple Valued Logic May 24 27 1993 Sacramento California
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Author : IEEE Computer Society
language : en
Publisher: Los Alamitos, Calif. : IEEE Computer Society Press
Release Date : 1993
The Twenty Third International Symposium On Multiple Valued Logic May 24 27 1993 Sacramento California written by IEEE Computer Society and has been published by Los Alamitos, Calif. : IEEE Computer Society Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1993 with Computers categories.
The proceedings of the symposium held in Sacramento, California, May 1993, include sessions on algebra, logic, circuits, logic minimization, fuzzy logic, testing, function decomposition, learning, reasoning, logic design, and special applications. In addition to 41 contributed papers, three invited
Beyond Two Theory And Applications Of Multiple Valued Logic
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Author : Melvin Fitting
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-01-09
Beyond Two Theory And Applications Of Multiple Valued Logic written by Melvin Fitting and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-01-09 with Mathematics categories.
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.
The Eighth International Symposium On Multiple Valued Logic
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Author :
language : en
Publisher:
Release Date : 1978
The Eighth International Symposium On Multiple Valued Logic written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Many-valued logic categories.
Lotze S System Of Philosophy Logic V 2 Metaphysic
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Author : Hermann Lotze
language : en
Publisher:
Release Date : 1887
Lotze S System Of Philosophy Logic V 2 Metaphysic written by Hermann Lotze and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1887 with categories.
Beyond Two Theory And Applications Of Multiple Valued Logic
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Author : Melvin Fitting
language : en
Publisher: Physica
Release Date : 2012-11-23
Beyond Two Theory And Applications Of Multiple Valued Logic written by Melvin Fitting and has been published by Physica this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-11-23 with Mathematics categories.
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.
The Journal Of Symbolic Logic
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Author : Alonzo Church
language : en
Publisher:
Release Date : 1980
The Journal Of Symbolic Logic written by Alonzo Church and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Electronic journals categories.
Includes lists of members.