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diff-SAT -- A Software for Sampling and Probabilistic Reasoning for SAT and Answer Set Programming

2021-01-03 09:04:31
Matthias Nickles
arXiv_AI
     
Abstract

This paper describes diff-SAT, an Answer Set and SAT solver which combines regular solving with the capability to use probabilistic clauses, facts and rules, and to sample an optimal world-view (multiset of satisfying Boolean variable assignments or answer sets) subject to user-provided probabilistic constraints. The sampling process minimizes a user-defined differentiable objective function using a gradient descent based optimization method called Differentiable Satisfiability Solving ($\partial\mathrm{SAT}$) respectively Differentiable Answer Set Programming ($\partial\mathrm{ASP}$). Use cases are i.a. probabilistic logic programming (in form of Probabilistic Answer Set Programming), Probabilistic Boolean Satisfiability solving (PSAT), and distribution-aware sampling of model multisets (answer sets or Boolean interpretations).

Abstract (translated)

URL

https://arxiv.org/abs/2101.00589

PDF

https://arxiv.org/pdf/2101.00589.pdf

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