ISBN 9780792360094 | 0792360095 Textbooks - "Algebraic Foundations of Many&Valued Reasoning Trends in Logic" by RL Cignoli IM dOttaviano Daniele Mundici Daniele Itala M dOttaviano Cignoli RL dOttaviano Itala M Mundici

Authors: R.L. Cignoli - I.M. d'Ottaviano - Daniele Mundici - Daniele - Itala M. d'Ottaviano - Cigno…
ISBN 10: 0792360095
ISBN 13: 9780792360094
Edition: 2000
Release: November 30, 1999
Format: Hardcover (242 pages)
List Price: $159.00
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List Price: $159.00

Tags: Computers & Internet, Computer Science, Artificial Intelligence,

Book Description:
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.

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Algebraic Foundations of Many-Valued Reasoning (Trends in Logic)

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