The Resource Cylindric-like algebras and algebraic logic | Cylindric-like algebras and algebraic logic, Hajnal Andreka, Miklos Ferenczi, Istvan Nemeti (eds.)

Cylindric-like algebras and algebraic logic | Cylindric-like algebras and algebraic logic, Hajnal Andreka, Miklos Ferenczi, Istvan Nemeti (eds.)

Label
Cylindric-like algebras and algebraic logic
Title
Cylindric-like algebras and algebraic logic
Statement of responsibility
Hajnal Andreka, Miklos Ferenczi, Istvan Nemeti (eds.)
Contributor
Subject
Language
eng
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 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
Member of
Cataloging source
GW5XE
Illustrations
illustrations
Index
index present
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
Series statement
Bolyai society mathematical studies,
Series volume
22
Label
Cylindric-like algebras and algebraic logic | Cylindric-like algebras and algebraic logic, Hajnal Andreka, Miklos Ferenczi, Istvan Nemeti (eds.)
Authority link
http://www.worldcat.org/oclc/827925765
Link
http://dx.doi.org/10.1007/978-3-642-35025-2
Publication
Note
Print version
Antecedent source
unknown
Bibliography note
Includes bibliographical references and indexes
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
Introduction -- H. Andrka and I. Nmeti: 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. 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 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. 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
Control code
ocn869926093
Dimensions
unknown
Extent
1 online resource (478 pages)
File format
unknown
Form of item
online
Isbn
9783642350252
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-642-35025-2
Other physical details
illustrations.
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)869926093

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