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Algebraic Foundations of Many-Valued Reasoning

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Published by Springer Netherlands in Dordrecht .
Written in English

Subjects:

  • Computational complexity,
  • Symbolic and mathematical Logic,
  • Algebra,
  • Philosophy (General),
  • Logic,
  • Artificial intelligence

Book details:

About the Edition

This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to adaptive error-correcting binary search. The book is suitable for self-study, making the basic tools of many-valued logic accessible to students and scientists with a basic mathematical knowledge who are interested in the mathematical treatment of uncertain information. Stressing the interplay between algebra and logic, the book contains material never before published, such as a simple proof of the completeness theorem and of the equivalence between Chang"s MV algebras and Abelian lattice-ordered groups with unit - a necessary prerequisite for the incorporation of a genuine addition operation into fuzzy logic. Readers interested in fuzzy control are provided with a rich deductive system in which one can define fuzzy partitions, just as Boolean partitions can be defined and computed in classical logic. Detailed bibliographic remarks at the end of each chapter and an extensive bibliography lead the reader on to further specialised topics.

Edition Notes

Statementby Roberto L. O. Cignoli, Itala M. L. D"Ottaviano, Daniele Mundici
SeriesTrends in Logic, Studia Logica Library -- 7, Trends in Logic, Studia Logica Library -- 7
ContributionsD"Ottaviano, Itala M. L., Mundici, Daniele
Classifications
LC ClassificationsBC1-199
The Physical Object
Format[electronic resource] /
Pagination1 online resource (ix, 233 p.)
Number of Pages233
ID Numbers
Open LibraryOL27015837M
ISBN 109048153360, 9401594805
ISBN 109789048153367, 9789401594806
OCLC/WorldCa851388205

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Roberto L. O. Cignoli, Itala M. L. D’Ottaviano, Daniele Mundici. Pages Chang completeness theorem. Get this from a library! Algebraic foundations of many-valued reasoning. [Roberto Cignoli; Itala M L D'Ottaviano; Daniele Mundici] -- "This unique textbook states and proves all the major theorems of many-valued propositional logic, and provides the reader with the most recent developments and trends including applications to. Algebraic Foundations of Many-Valued Reasoning It seems that you're in USA. We have a dedicated site for USA Algebraic Foundations of Many-Valued Reasoning. Authors: Cignoli, R.L., d'Ottaviano, Itala M., The present book develops these matters in detail, and gives a coherent presentation of the core results of the last 15 years or so. foundations of many valued reasoning, you can be wise to spend the time for reading other books. And here, after getting the soft fie of algebraic foundations of many valued reasoning and serving the link to provide, you can also.

(ebook) Algebraic Foundations of Many-Valued Reasoning () from Dymocks online store. We are open, in-store and online! Some orders may experience a . Printed book Hardcover ,99 € | £ | $ Algebraic Foundations of Many-Valued Reasoning Series: Trends in Logic, Vol. 7. Springer TRENDS IN LOGIC - STUDIA LOGICA LIBRARY Algebraic Foundations of Many-valued Reasoning by Roberto L.O. Cignoli, Itala M.L. D'Ottaviano and Daniele Mundici.   We investigate the property of strict coherence in the setting of many-valued logics. Our main results read as follows: (i) a map from an MV-algebra to [0,1] is strictly coherent if and only if it satisfies Carnap’s regularity condition, and (ii) a [0,1]-valued book on a finite set of many-valued events is strictly coherent if and only if it extends to a faithful state of an MV-algebra that. Foundations for Algebra 5 Reading Strategy: Use Your Book for Success Understanding how your textbook is organized will help you locate and use helpful information. Try This Use your textbook for the following problems. 1. Use the index to find the page where each term is defined: algebraic expressionlike terms,, ordered pair, real numbers. 2.

The 17 revised papers of this Festschrift volume - published in honour of Daniele Mundici on the occasion of his 60th birthday - include invited extended versions of the most interesting contributions to the International Conference on the Algebraic and Logical Foundations of Many-Valued Reasoning, held in Gargnano, Italy, in March Algebraic Foundations of Many-Valued Reasoning / Edition 1 available in Hardcover, Paperback. Add to Wishlist. ISBN ISBN Pub. Date: 12/02/ Publisher: Springer Netherlands. Algebraic Foundations of Many-Valued Reasoning / Edition 1. by R.L Stressing the interplay between algebra and logic, the book Price: $ Get this from a library! Algebraic Foundations of Many-Valued Reasoning. [Roberto L O Cignoli; Itala M L D'Ottaviano; Daniele Mundici] -- This unique textbook states and proves all the major theorems of many-valued propositional logic and provides the reader with the most recent developments and trends, including applications to. This book has been cited by the following publications. “ Algebraic Analysis of Many Valued Logics.” Transactions of the American Mathematical Soci pp. – Chang, Algebraic Foundations of Many-Valued Reasoning. Boston: Kluwer. Delong, Howard.