Algebraic Foundations of Many-Valued Reasoning (Trends in Logic - Studia Logica Library)
Language: English
Published by Kluwer Academic, 2000
Series: Book 3 of 53 - Trends in Logic
- First Edition
- Hardcover
- Used
Seller: killarneybooks, Inagh, Clare, Irelandkillarneybooks
AbeBooks seller since April 20, 2017
Condition: Used - Good
£ 57.86
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Add to basketItem description from seller
Oversized hardcover, ix + 231 pages, NOT ex-library. Missing one of the front blank endpapers. Sparse pencil underlining on 2 pages, pencil notations on 7 pages; no more than a few words underlined in red pen on 3 pages. Book remains in nice shape with little wear, clean and bright, free of stamps, firmly bound. Issued without a dust jacket. -- Contents: Introduction; 1. Basic notions; 2. Chang completeness theorem; 3. Free MV-algebras; 4. Lukasiewicz [infinity]-valued calculus; 5. Ulam's game; 6. Lattice-theoretical properties; 7. MV-algebras and l-groups; 8. Varieties of MV-algebras; 9. Advanced topics; 10. Further Readings; Bibliography; Index -- "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.".…
Seller Inventory # 011088
- Title
- Algebraic Foundations of Many-Valued Reasoning (Trends in Logic - Studia Logica Library)
- Author
- Roberto L.O.Cignoli; Itala M.L. D'Ottaviano; Daniele Mundici
- Publisher
- Kluwer Academic
- Publication year
- 2000
- Condition
- Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 0792360095
- ISBN 13
- 9780792360094
- Edition
- 1st Edition
- Series
- Book 3 of 53: Trends in Logic
"Synopsis" may belong to another edition of this title.
Review
Mathematical Reviews, 2001
"About the title" may belong to another edition of this title.
killarneybooks
Inagh, Clare, Ireland
AbeBooks seller since April 20, 2017
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All U.S.-bound orders are now shipped with UPS for reliable delivery. Additional customs or import fees are highly unlikely; however, please note buyers remain responsible for any duties or taxes that U.S. Customs may assess. -- Killarneybooks is a family-run bookshop based in the Republic of Ireland. We take pride in accurate listings, careful packaging, and prompt service - most orders ship within 24 hours. All books listed are in stock and ready for immediate dispatch - we are not dropshippers. Inquiries always welcome.…
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