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  3. Complexity of Infinite-Domain Constraint Satisfaction
  • Cited by 18
Publisher:
Cambridge University Press
Online publication date:
May 2021
Print publication year:
2021
Online ISBN:
9781107337534
DOI:
https://doi.org/10.1017/9781107337534
Subjects:
Mathematics, Algorithmics, Complexity, Computer Algebra, Computational Geometry, Logic, Categories and Sets, Computer Science, Programming Languages and Applied Logic
Series:
Lecture Notes in Logic (52)
Information

Book description

Constraint Satisfaction Problems (CSPs) are natural computational problems that appear in many areas of theoretical computer science. Exploring which CSPs are solvable in polynomial time and which are NP-hard reveals a surprising link with central questions in universal algebra. This monograph presents a self-contained introduction to the universal-algebraic approach to complexity classification, treating both finite and infinite-domain CSPs. It includes the required background from logic and combinatorics, particularly model theory and Ramsey theory, and explains the recently discovered link between Ramsey theory and topological dynamics and its implications for CSPs. The book will be of interest to graduate students and researchers in theoretical computer science and to mathematicians in logic, combinatorics, and dynamics who wish to learn about the applications of their work in complexity theory.

Reviews

‘… this book is essential reading for anyone with the vaguest interest in computational complexity, as well as for those curious about potential applications of model theory and universal algebra. It brings together decades of intense research by different research communities in a uniform format.’

Victor Lagerkvist Source: MathSciNet

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