Cylindriclike algebras and algebraic logic
 Language
 English.
 Imprint
 Berlin : Springer ; Budapest : JBMS, Janos Bolyai Mathematical Society, 2012.
 Physical description
 478 p. : ill. ; 25 cm.
 Series
 Bolyai Society mathematical studies ; 22.
Access
Available online

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QA10 .C95 2012

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QA10 .C95 2012
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Contents/Summary
 Bibliography
 Includes bibliographical references and indexes.
 Contents

 Introduction. H. Andreka and I. Nemeti: Reducing Firstorder Logic to Df3, Free Algebras. N.Bezhanishvili: Varieties of TwoDimensional Cylindric Algebras. R. Hirsch and I. Hodkinson: Completions and Complete Representations. J. Madarasz and T. Sayed Ahmed: Amalgamation, Interpolation and Epimorphisms in Algebraic Logic. T. Sayed Ahmed: Neat Reducts and Neat Embeddings in Cylindric Algebras. M. Ferenczi: A New Representation Theory: Representing Cylindriclike Algebras by Relativized Set Algebras. A. Simon: Representing all Cylindric Algebras by Twisting, On a Problem of Henkin. A. Kurucz: Representable Cylindric Algebras and ManyDimensional Modal Logics. T. Sayed Ahmed: Completions, Complete Representations and Omitting Types. G. Sereny: Elements of Cylindric Algebraic Model Theory. Y. Venema: Cylindric Modal Logic. J. van Benthem: Crs and Guarded Logics: A Fruitful Contact. R. S. Dordevic and M. D. Raskovic: Cylindric Probability Algebras.I. Duentsch: Cylindric Algebras and Relational Databases.  M. Ferenczi: Probability Measures and Measurable Functions on Cylindric Algebras.  A. Mann: Cylindric Set Algebras and IF Logic.  G. Sagi: Polyadic Algebras.  I. Sain: Definability Issues in Universal Logic.  Bibliography.  Index.
 (source: Nielsen Book Data)
 Publisher's Summary
 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 cylindriclike 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 higherdimensional relations, as an enrichment of Boolean Algebra theory, or, as logic in geometric form ("cylindric" in the name refers to geometric aspects). Cylindriclike algebras have a wide range of applications, in, e.g., natural language theory, database 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 HenkinMonkTarski monographs. It is dedicated to the memory of Leon Henkin.
(source: Nielsen Book Data)
Bibliographic information
 Publication date
 2012
 Responsibility
 Hajnal Andreka, Miklos Ferenczi, Istvan Nemeti (eds.).
 Series
 Bolyai society mathematical studies, 12174696 ; 22
 ISBN
 9783642350245 (Springer : hd.bd.)
 3642350240 (Springer : hd.bd.)
 9789639453159 (Janos Bolyai Mathematical Society : hd.bd.)
 9639453153 (Janos Bolyai Mathematical Society : hd.bd.)