资源论文Probabilistic Satis?ability: Logic-Based Algorithms and Phase Transition?

Probabilistic Satis?ability: Logic-Based Algorithms and Phase Transition?

2019-11-12 | |  48 |   38 |   0
Abstract In this paper, we study algorithms for probabilistic satis?ability (PSAT), an NP-complete problem, and their empiric complexity distribution. We de?ne a PSAT normal form, based on which we propose two logic-based algorithms: a reduction of normal form PSAT instances to SAT, and a linearalgebraic algorithm with a logic-based column generation strategy. We conclude that both algorithms present a phase transition behaviour and that the latter has a much better performance.

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