Counting the Number of Solutions to Constraints

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Authors Jian Zhang, Cunjing Ge, Feifei Ma arXiv ID 2012.14366 Category cs.AI: Artificial Intelligence Cross-listed cs.SE Citations 0 Venue arXiv.org Last Checked 4 months ago
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).
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