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Logic and Random Structures
 
Edited by: Ravi B. Boppana New York University-Courant Institute of Mathematical Sciences, New York, NY
James F. Lynch Clarkson University, Potsdam, NY
A co-publication of the AMS and DIMACS
Logic and Random Structures
Hardcover ISBN:  978-0-8218-0578-7
Product Code:  DIMACS/33
List Price: $44.00
MAA Member Price: $39.60
AMS Member Price: $35.20
eBook ISBN:  978-1-4704-3991-0
Product Code:  DIMACS/33.E
List Price: $40.00
MAA Member Price: $36.00
AMS Member Price: $32.00
Hardcover ISBN:  978-0-8218-0578-7
eBook: ISBN:  978-1-4704-3991-0
Product Code:  DIMACS/33.B
List Price: $84.00 $64.00
MAA Member Price: $75.60 $57.60
AMS Member Price: $67.20 $51.20
Logic and Random Structures
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Logic and Random Structures
Edited by: Ravi B. Boppana New York University-Courant Institute of Mathematical Sciences, New York, NY
James F. Lynch Clarkson University, Potsdam, NY
A co-publication of the AMS and DIMACS
Hardcover ISBN:  978-0-8218-0578-7
Product Code:  DIMACS/33
List Price: $44.00
MAA Member Price: $39.60
AMS Member Price: $35.20
eBook ISBN:  978-1-4704-3991-0
Product Code:  DIMACS/33.E
List Price: $40.00
MAA Member Price: $36.00
AMS Member Price: $32.00
Hardcover ISBN:  978-0-8218-0578-7
eBook ISBN:  978-1-4704-3991-0
Product Code:  DIMACS/33.B
List Price: $84.00 $64.00
MAA Member Price: $75.60 $57.60
AMS Member Price: $67.20 $51.20
  • Book Details
     
     
    DIMACS - Series in Discrete Mathematics and Theoretical Computer Science
    Volume: 331997; 130 pp
    MSC: Primary 03; 05

    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.

    Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).

    Readership

    Graduate students and research mathematicians interested in combinatorics, computer science, logic, and probability.

  • Table of Contents
     
     
    • Chapters
    • Near model completeness and 0-1 laws
    • Smoothness laws for random ordered graphs
    • Spectrally determined first-order limit laws
    • The asymptotic behavior of ${L^k_{\infty ,\omega }}$ on sparse random graphs
    • $k$-universal finite graphs
    • Monadic second order probabilities in algebra. Directly representable varieties and groups
    • Approximating the structures accepted by a constant depth circuit or satisfying a sentence - a nonstandard approach
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Accessibility – to request an alternate format of an AMS title
Volume: 331997; 130 pp
MSC: Primary 03; 05

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.

Co-published with the Center for Discrete Mathematics and Theoretical Computer Science beginning with Volume 8. Volumes 1–7 were co-published with the Association for Computer Machinery (ACM).

Readership

Graduate students and research mathematicians interested in combinatorics, computer science, logic, and probability.

  • Chapters
  • Near model completeness and 0-1 laws
  • Smoothness laws for random ordered graphs
  • Spectrally determined first-order limit laws
  • The asymptotic behavior of ${L^k_{\infty ,\omega }}$ on sparse random graphs
  • $k$-universal finite graphs
  • Monadic second order probabilities in algebra. Directly representable varieties and groups
  • Approximating the structures accepted by a constant depth circuit or satisfying a sentence - a nonstandard approach
Review Copy – for publishers of book reviews
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.