English

Counting the Number of Solutions to Constraints

Artificial Intelligence 2020-12-29 v1 Software Engineering

Abstract

Compared with constraint satisfaction problems, counting problems have received less attention. In this paper, we survey research works on the problems of counting the number of solutions to constraints. The constraints may take various forms, including, formulas in the propositional logic, linear inequalities over the reals or integers, Boolean combination of linear constraints. We describe some techniques and tools for solving the counting problems, as well as some applications (e.g., applications to automated reasoning, program analysis, formal verification and information security).

Keywords

Cite

@article{arxiv.2012.14366,
  title  = {Counting the Number of Solutions to Constraints},
  author = {Jian Zhang and Cunjing Ge and Feifei Ma},
  journal= {arXiv preprint arXiv:2012.14366},
  year   = {2020}
}