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Titlebook: Cylindric-like Algebras and Algebraic Logic; Hajnal Andréka,Miklós Ferenczi,István Németi Book 2013 Springer-Verlag Berlin Heidelberg 2013

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书目名称Cylindric-like Algebras and Algebraic Logic
编辑Hajnal Andréka,Miklós Ferenczi,István Németi
视频videohttp://file.papertrans.cn/243/242578/242578.mp4
概述A tribute to Tarski’s legacy, this volume gives an overview on how a central part of Tarskian algebraic logic developed in the last 30 years.Intends to be a continuation of the Henkin-Monk-Tarski mono
丛书名称Bolyai Society Mathematical Studies
图书封面Titlebook: Cylindric-like Algebras and Algebraic Logic;  Hajnal Andréka,Miklós Ferenczi,István Németi Book 2013 Springer-Verlag Berlin Heidelberg 2013
描述Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarski’s quest for finding structure in logic leads to cylindric-like algebras as studied in this book, they are among the main players in Tarskian algebraic logic. Cylindric algebra theory can be viewed in many ways:  as an algebraic form of definability theory, as a study of higher-dimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form (“cylindric” in the name refers to geometric aspects). Cylindric-like algebras have a wide range of applications, in, e.g., natural language theory, data-base theory, stochastics, and even in relativity theory. The present volume, consisting of 18 survey papers, intends to give an overview of the main achievements and new research directions in the past 30 years, since the publication of the Henkin-Monk-Tarski monographs. It is dedicated to the memory of Leon Henkin.​
出版日期Book 2013
关键词Algebraic Logic; Algebras of Relations; Cylindric Algebras; Foundation of Mathematics; Model Theory; Theo
版次1
doihttps://doi.org/10.1007/978-3-642-35025-2
isbn_softcover978-3-642-43799-1
isbn_ebook978-3-642-35025-2Series ISSN 1217-4696 Series E-ISSN 2947-9460
issn_series 1217-4696
copyrightSpringer-Verlag Berlin Heidelberg 2013
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Representable Cylindric Algebras and Many-Dimensional Modal LogicsThe equationally expressible properties of the cylindrifications and the diagonals in finite-dimensional representable cylindric algebras can be divided into two groups:
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Felicity A. Huntingford,Angela K. Turners as logic, mathematics, computer science, artificial intelligence, linguistics and even relativity theory. In some of the applications one has to transcend (a little) the original definition of CAs but .. For example, the emphasis shifted to relativized CAs and to adding extra operations such as, e
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Felicity A. Huntingford,Angela K. Turner theory of relation algebras (RA) corresponds to a logic without individual variables, in other words, to a propositional logic. This is why the title of the book [Tar-Giv,87] is “Formalizing set theory without variables”. Tarski got the surprising result that a propositional logic can be strong eno
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