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001 | 978-3-642-35025-2 | ||
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007 | cr nn 008mamaa | ||
008 | 140127s2013 gw | s |||| 0|eng d | ||
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_a9783642350252 _9978-3-642-35025-2 |
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_a10.1007/978-3-642-35025-2 _2doi |
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072 | 7 |
_aPBC _2bicssc |
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_aPBCD _2bicssc |
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_aMAT018000 _2bisacsh |
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082 | 0 | 4 |
_a511.3 _223 |
100 | 1 |
_aAndréka, Hajnal. _eeditor. |
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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. |
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300 |
_a478 p. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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_acomputer _bc _2rdamedia |
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_aonline resource _bcr _2rdacarrier |
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_atext file _bPDF _2rda |
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490 | 1 |
_aBolyai Society Mathematical Studies, _x1217-4696 ; _v22 |
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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. |
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700 | 1 |
_aNémeti, István. _eeditor. |
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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 |