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Titlebook: Algebraic Foundations of Many-Valued Reasoning; Roberto L. O. Cignoli,Itala M. L. D’Ottaviano,Dani Book 2000 Springer Science+Business Med

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1572-6126 Overview: 978-90-481-5336-7978-94-015-9480-6Series ISSN 1572-6126 Series E-ISSN 2212-7313
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https://doi.org/10.1007/978-81-322-2364-1s algebras, Chang’s MV-algebras. This book is for self-study: with the possible exception of Chapter 9 on advanced topics, the only prerequisite for the reader is some acquaintance with classical propositional logic, and elementary algebra and topology.
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https://doi.org/10.1007/978-81-322-2364-1quipped with truncated addition . = min(1, .) and negation 1 - .. We show that every MV-algebra contains a natural lattice-order. The chapter culminates with Chang’s Subdirect Representation Theorem, stating that if an equation holds in all totally ordered MV-algebras, then the equation holds in all MV-algebras.
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https://doi.org/10.1007/978-3-642-45686-2le interpretation is given by ., the variant of the game of Twenty Questions where . - 2 lies, or errors, are allowed in the answers. The case . = 2 corresponds to the traditional game without lies. The game is originally described by Ulam on page 281 of his book [235] as follows:
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