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Model Theoretic Methods in Finite Combinatorics Book PDF Summary

This volume contains the proceedings of the AMS-ASL Special Session on Model Theoretic Methods in Finite Combinatorics, held January 5-8, 2009, in Washington, DC. Over the last 20 years, various new connections between model theory and finite combinatorics emerged. The best known of these are in the area of 0-1 laws, but in recent years other very promising interactions between model theory and combinatorics have been developed in areas such as extremal combinatorics and graph limits, graph polynomials, homomorphism functions and related counting functions, and discrete algorithms, touching the boundaries of computer science and statistical physics. This volume highlights some of the main results, techniques, and research directions of the area. Topics covered in this volume include recent developments on 0-1 laws and their variations, counting functions defined by homomorphisms and graph polynomials and their relation to logic, recurrences and spectra, the logical complexity of graphs, algorithmic meta theorems based on logic, universal and homogeneous structures, and logical aspects of Ramsey theory.

Detail Book of Model Theoretic Methods in Finite Combinatorics PDF

Model Theoretic Methods in Finite Combinatorics
  • Author : Martin Grohe
  • Release : 28 November 2011
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821849439
  • Genre : Mathematics
  • Total Page : 529 pages
  • Language : English
  • PDF File Size : 13,5 Mb

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