書誌事項

Logic and random structures : DIMACS workshop, November 5-7, 1995

Ravi B. Boppana, James F. Lynch, editors

(DIMACS series in discrete mathematics and theoretical computer science, v. 33)

American Mathematical Society, c1997

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注記

"NSF Science and Technology Center in Discrete Mathematics and Theoretical Computer Science, a consortium of Rutgers University, Princeton University, AT&T Labs, Bell Labs, and Bellcore."

Includes bibliographical references

内容説明・目次

内容説明

This volume contains selected papers from the DIMACS Workshop on Logic and Random Structures held in November 1995. The workshop was a major event of the DIMACS Special Year on Logic and Algorithms. The central theme was the relationship between logic and probabilistic techniques in the study of finite structures. In the last several years, this subject has developed into a very active area of mathematical logic with important connections to computer science. The DIMACS workshop was the first of its kind devoted to logic and random structures. Recent work of leaders in the field is contained in the volume, as well as new theoretical developments and applications to computer science.

目次

Near model completeness and 0-1 laws by J. T. Baldwin Smoothness laws for random ordered graphs by R. B. Boppana and J. H. Spencer Spectrally determined first-order limit laws by S. Burris The asymptotic behavior of $L^k_{\infty,\omega}$ on sparse random graphs by M. McArthur $k$-universal finite graphs by E. Rosen, S. Shelah, and S. Weinstein Monadic second order probabilities in algebra. Directly representable varieties and groups by P. M. Idziak and J. Tyszkiewicz Approximating the structures accepted by a constant depth circuit or satisfying a sentence--a nonstandard approach by A. R. Woods.

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