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Model Theoretic Methods in Finite Combinatorics. (Record no. 68693)

MARC details
000 -LEADER
fixed length control field 04228nam a22004813i 4500
001 - CONTROL NUMBER
control field EBC3113159
003 - CONTROL NUMBER IDENTIFIER
control field MiAaPQ
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20240729124534.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS
fixed length control field m o d |
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr cnu||||||||
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 240724s2011 xx o ||||0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821882375
Qualifying information (electronic bk.)
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
Canceled/invalid ISBN 9780821849439
035 ## - SYSTEM CONTROL NUMBER
System control number (MiAaPQ)EBC3113159
035 ## - SYSTEM CONTROL NUMBER
System control number (Au-PeEL)EBL3113159
035 ## - SYSTEM CONTROL NUMBER
System control number (CaPaEBR)ebr10878614
035 ## - SYSTEM CONTROL NUMBER
System control number (OCoLC)922980761
040 ## - CATALOGING SOURCE
Original cataloging agency MiAaPQ
Language of cataloging eng
Description conventions rda
-- pn
Transcribing agency MiAaPQ
Modifying agency MiAaPQ
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA9.7 -- .M583 2011eb
082 0# - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.2
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Grohe, Martin.
245 10 - TITLE STATEMENT
Title Model Theoretic Methods in Finite Combinatorics.
250 ## - EDITION STATEMENT
Edition statement 1st ed.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Providence :
Name of producer, publisher, distributor, manufacturer American Mathematical Society,
Date of production, publication, distribution, manufacture, or copyright notice 2011.
264 #4 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Date of production, publication, distribution, manufacture, or copyright notice ©2011.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource (529 pages)
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
490 1# - SERIES STATEMENT
Series statement Contemporary Mathematics ;
Volume/sequential designation v.558
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Intro -- Contents -- Preface -- Application of Logic to Combinatorial Sequences and Their Recurrence Relations -- Part 1. Introduction and Synopsis -- 1. Sequences of integers and their combinatorial interpretations -- 2. Linear recurrences -- 3. Logical formalisms -- 4. Finiteness conditions -- 5. Logical interpretations of integer sequences -- Part 2. Guiding Examples -- 6. The classical recurrence relations -- 7. Functions, permutations and partitions -- 8. Trees and forests -- 9. Graph properties -- 10. Latin squares -- Part 3. C-Finite and Holonomic Sequences -- 11. C-Finite sequences -- 12. Holonomic sequences -- Part 4. Modular Recurrence Relations -- 13. DU-index and Specker index -- 14. The rôle of logic -- 15. Structures of bounded degree -- 16. Structures of unbounded degree -- References -- Spectra and Systems of Equations -- Compton's Method for Proving Logical Limit Laws -- Logical Complexity of Graphs: A Survey -- 1. Introduction -- 1.1. Basic notions and examples -- 1.2. Variations of logic -- 1.3. Outline of the survey -- 1.4. Other structures -- 2. Preliminaries -- 2.1. Notation: Arithmetic and graphs -- 2.2. A length-depth relation -- 2.3. Distinguishability vs. definability -- 3. Ehrenfeucht games -- 4. The Weisfeiler-Lehman algorithm -- 5. Worst case bounds -- 5.1. Classes of graphs -- 5.2. General case -- 6. Average case bounds -- Methods for Algorithmic Meta Theorems -- On Counting Generalized Colorings -- 1. Introduction -- 2. Prelude: two typical graph polynomials -- 3. Counting generalized colorings -- 4. SOL-polynomials and subset expansion -- 5. Standard vs FF vs Newton SOL-polynomials -- 6. Equivalence of counting φ-colorings and SOL-polynomials -- 7. MSOL-polynomials -- 8. Enter categoricity -- 9. Conclusions -- References -- Counting Homomorphisms and Partition Functions.
505 8# - FORMATTED CONTENTS NOTE
Formatted contents note Some Examples of Universal and Generic Partial Orders -- Two Problems on Homogeneous Structures, Revisited -- On Symmetric Indivisibility of Countable Structures -- Partitions and Permutation Groups -- (Un)countable and (Non)effective Versions of Ramsey's Theorem -- Reducts of Ramsey Structures -- 1. Introduction -- 2. Reducts -- 3. Ramsey Classes -- 4. Topological Dynamics -- 5. Minimal Functions -- 6. Decidability of Definability -- 7. Interpretability -- 8. Complexity of Constraint Satisfaction -- 9. Concluding Remarks and Further Directions -- References.
588 ## - SOURCE OF DESCRIPTION NOTE
Source of description note Description based on publisher supplied metadata and other sources.
590 ## - LOCAL NOTE (RLIN)
Local note Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Finite model theory -- Congresses.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element Combinatorial probabilities -- Congresses.
655 #4 - INDEX TERM--GENRE/FORM
Genre/form data or focus term Electronic books.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Makowsky, Johann A.
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Print version:
Main entry heading Grohe, Martin
Title Model Theoretic Methods in Finite Combinatorics
Place, publisher, and date of publication Providence : American Mathematical Society,c2011
International Standard Book Number 9780821849439
797 2# - LOCAL ADDED ENTRY--CORPORATE NAME (RLIN)
Corporate name or jurisdiction name as entry element ProQuest (Firm)
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Contemporary Mathematics
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113159">https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113159</a>
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