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008 140127s2013 gw | s |||| 0|eng d
020 _a9783642350252
_9978-3-642-35025-2
024 7 _a10.1007/978-3-642-35025-2
_2doi
050 4 _aQA8.9-10.3
072 7 _aPBC
_2bicssc
072 7 _aPBCD
_2bicssc
072 7 _aMAT018000
_2bisacsh
082 0 4 _a511.3
_223
100 1 _aAndréka, Hajnal.
_eeditor.
245 1 0 _aCylindric-like Algebras and Algebraic Logic
_h[electronic resource] /
_cedited by Hajnal Andréka, Miklós Ferenczi, István Németi.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg :
_bImprint: Springer,
_c2013.
300 _a478 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aBolyai Society Mathematical Studies,
_x1217-4696 ;
_v22
505 0 _aIntroduction -- 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 _aAlgebraic 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 _aMathematics.
650 0 _aComputer science.
650 0 _aAlgebra.
650 0 _aCombinatorics.
650 0 _aLogic, Symbolic and mathematical.
650 1 4 _aMathematics.
650 2 4 _aMathematical Logic and Foundations.
650 2 4 _aAlgebra.
650 2 4 _aCombinatorics.
650 2 4 _aMathematical Logic and Formal Languages.
700 1 _aFerenczi, Miklós.
_eeditor.
700 1 _aNémeti, István.
_eeditor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783642350245
830 0 _aBolyai Society Mathematical Studies,
_x1217-4696 ;
_v22
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-642-35025-2
912 _aZDB-2-SMA
999 _c97590
_d97590