Description 
1 online resource (478 pages) : illustrations 
Series 
Bolyai society mathematical studies, 12174696 ; 22 

Bolyai Society mathematical studies ; 22

Contents 
Introduction  H. Andrka and I. Nmeti: Reducing Firstorder Logic to Df3, Free Algebras  N. Bezhanishvili: Varieties of TwoDimensional Cylindric Algebras  R. Hirsch and I. Hodkinson: Completions and Complete Representations  J. Madarsz 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. Serny: 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. Sgi: Polyadic Algebras. I. Sain: Definability Issues in Universal Logic 
Summary 
Algebraic logic is a subject in the interface between logic, algebra and geometry, it has strong connections with category theory and combinatorics. Tarskis 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 
Bibliography 
Includes bibliographical references and indexes 
Notes 
Print version record 
Subject 
Cylindric algebras.


Algebraic logic.


Mathematical Concepts.

Form 
Electronic book

Author 
Andréka, H., editor


Ferenczi, M. (Miklós), 1947 editor


Németi, I., editor

ISBN 
3642350259 (electronic bk.) 

9783642350252 (electronic bk.) 

(Springer ;) (hd. bd.) 

(Janos Bolyai Mathematical Society ;) (hd. bd.) 
