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20140310151459.0 |
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020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783642350252 |
|
978-3-642-35025-2 |
050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
Classification number |
QA8.9-10.3 |
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
511.3 |
Edition number |
23 |
264 #1 - |
-- |
Berlin, Heidelberg : |
-- |
Springer Berlin Heidelberg : |
-- |
Imprint: Springer, |
-- |
2013. |
912 ## - |
-- |
ZDB-2-SMA |
100 1# - MAIN ENTRY--PERSONAL NAME |
Personal name |
Andréka, Hajnal. |
Relator term |
editor. |
245 10 - IMMEDIATE SOURCE OF ACQUISITION NOTE |
Title |
Cylindric-like Algebras and Algebraic Logic |
Medium |
[electronic resource] / |
Statement of responsibility, etc |
edited by Hajnal Andréka, Miklós Ferenczi, István Németi. |
300 ## - PHYSICAL DESCRIPTION |
Extent |
478 p. |
Other physical details |
online resource. |
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Bolyai Society Mathematical Studies, |
International Standard Serial Number |
1217-4696 ; |
Volume number/sequential designation |
22 |
505 0# - FORMATTED CONTENTS NOTE |
Formatted contents note |
Introduction -- H. Andréka and I. Németi: Reducing First-order Logic to Df3, Free Algebras -- N.Bezhanishvili: Varieties of Two-Dimensional Cylindric Algebras -- R. Hirsch and I. Hodkinson: Completions and Complete Representations -- J. Madarász 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 Cylindric-like Algebras by Relativized Set Algebras -- A. Simon: Representing all Cylindric Algebras by Twisting, On a Problem of Henkin -- A. Kurucz: Representable Cylindric Algebras and Many-Dimensional Modal Logics -- T. Sayed Ahmed: Completions, Complete Representations and Omitting Types -- G. Serény: 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. Sági: Polyadic Algebras. – I. Sain: Definability Issues in Universal Logic. – Bibliography. - Index. |
520 ## - SUMMARY, ETC. |
Summary, etc |
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. |
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
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Topical term or geographic name as entry element |
Computer science. |
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Topical term or geographic name as entry element |
Algebra. |
|
Topical term or geographic name as entry element |
Combinatorics. |
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Topical term or geographic name as entry element |
Logic, Symbolic and mathematical. |
|
Topical term or geographic name as entry element |
Mathematics. |
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Topical term or geographic name as entry element |
Mathematical Logic and Foundations. |
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Topical term or geographic name as entry element |
Algebra. |
|
Topical term or geographic name as entry element |
Combinatorics. |
|
Topical term or geographic name as entry element |
Mathematical Logic and Formal Languages. |
700 1# - ADDED ENTRY--PERSONAL NAME |
Personal name |
Ferenczi, Miklós. |
Relator term |
editor. |
|
Personal name |
Németi, István. |
Relator term |
editor. |
710 2# - ADDED ENTRY--CORPORATE NAME |
Corporate name or jurisdiction name as entry element |
SpringerLink (Online service) |
773 0# - HOST ITEM ENTRY |
Title |
Springer eBooks |
776 08 - ADDITIONAL PHYSICAL FORM ENTRY |
Display text |
Printed edition: |
International Standard Book Number |
9783642350245 |
856 40 - ELECTRONIC LOCATION AND ACCESS |
Uniform Resource Identifier |
http://dx.doi.org/10.1007/978-3-642-35025-2 |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
|
Item type |
E-Book |