000 04048nam a22006855i 4500
001 978-3-540-68804-4
003 DE-He213
005 20160614135735.0
007 cr nn 008mamaa
008 100301s2007 gw | s |||| 0|eng d
020 _a9783540688044
_9978-3-540-68804-4
024 7 _a10.1007/3-540-68804-8
_2doi
049 _aAlfaisal Main Library
050 4 _aQA75.5-76.95
072 7 _aUY
_2bicssc
072 7 _aUYA
_2bicssc
072 7 _aCOM014000
_2bisacsh
072 7 _aCOM031000
_2bisacsh
082 0 4 _a004.0151
_223
100 1 _aGrädel, Erich.
_eauthor.
245 1 0 _aFinite Model Theory and Its Applications
_h[electronic resource] /
_cby Erich Grädel, Phokion G. Kolaitis, Leonid Libkin, Maarten Marx, Joel Spencer, Moshe Y. Vardi, Yde Venema, Scott Weinstein.
264 1 _aBerlin, Heidelberg :
_bSpringer Berlin Heidelberg,
_c2007.
300 _aXI, 437 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts in Theoretical Computer Science an EATCS Series,
_x1862-4499
505 0 _aUnifying Themes in Finite Model Theory -- On the Expressive Power of Logics on Finite Models -- Finite Model Theory and Descriptive Complexity -- Logic and Random Structures -- Embedded Finite Models and Constraint Databases -- A Logical Approach to Constraint Satisfaction -- Local Variations on a Loose Theme: Modal Logic and Decidability.
520 _aThis book gives a broad overview of core topics of finite model theory: expressive power, descriptive complexity, and zero-one laws, together with selected applications to database theory and artificial intelligence, especially, constraint databases and constraint satisfaction problems. The final chapter provides a concise modern introduction to modal logic, which emphasizes the continuity in spirit and technique with finite model theory. This underlying spirit involves the use of various fragments of, and hierarchies within, first order, second order, fixed point, and infinitary logics to gain insight into phenomena in complexity theory and combinatorics. The book emphasizes the use of combinatorial games, such as extensions and refinements of the Ehrenfeucht-Fraissé pebble game, as a powerful technique for analyzing the expressive power of such logics, and illustrates how deep notions from model theory and combinatorics, such as o-minimality and tree-width, arise naturally in the application of finite model theory to database theory and AI. Students of logic and computer science will find here the tools necessary to embark on research in finite model theory, and all readers will experience the excitement of a vibrant area of application of logic to computer science.
650 0 _aComputer science.
650 0 _aSoftware engineering.
650 0 _aComputers.
650 0 _aComputer logic.
650 0 _aMathematical logic.
650 0 _aDatabase management.
650 1 4 _aComputer Science.
650 2 4 _aTheory of Computation.
650 2 4 _aMathematical Logic and Formal Languages.
650 2 4 _aSoftware Engineering.
650 2 4 _aComputation by Abstract Devices.
650 2 4 _aLogics and Meanings of Programs.
650 2 4 _aDatabase Management.
655 7 _aElectronic books.
_2local
700 1 _aKolaitis, Phokion G.
_eauthor.
700 1 _aLibkin, Leonid.
_eauthor.
700 1 _aMarx, Maarten.
_eauthor.
700 1 _aSpencer, Joel.
_eauthor.
700 1 _aVardi, Moshe Y.
_eauthor.
700 1 _aVenema, Yde.
_eauthor.
700 1 _aWeinstein, Scott.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783540004288
830 0 _aTexts in Theoretical Computer Science an EATCS Series,
_x1862-4499
856 4 0 _uhttp://ezproxy.alfaisal.edu/login?url=http://dx.doi.org/10.1007/3-540-68804-8
912 _aZDB-2-SCS
942 _2lcc
_cEBOOKS
999 _c251507
_d251507