在Lukasiewicz逻辑中寻找可满足性的硬实例

2015 IEEE International Symposium on Multiple-Valued Logic Pub Date : 2015-05-18 DOI:10.1109/ISMVL.2015.10

Miquel Bofill, F. Manyà, Amanda Vidal, Mateu Villaret

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引用次数: 13

摘要

在多值逻辑中，特别是在Lukasiewicz逻辑中，研究得很少的一个方面是产生不同难度的实例来评估、比较和改进可满足性求解器。在本文中，我们提出了一类新的子句形式，称为Lukasiewicz (L-)子句形式，激发了它们的有用性，研究了它们的复杂性，并报告了一项实证调查，该调查显示了在测试L-子句形式的可满足性时的易-难-易模式和相变现象。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Finding Hard Instances of Satisfiability in Lukasiewicz Logics

One aspect that has been poorly studied in multiple-valued logics, and in particular in Lukasiewicz logics, is the generation of instances of varying difficulty for evaluating, comparing and improving satisfiability solvers. In this paper we present a new class of clausal forms, called Lukasiewicz (L-)clausal forms, motivate their usefulness, study their complexity, and report on an empirical investigation that shows an easy-hard-easy pattern and a phase transition phenomenon when testing the satisfiability of L-clausal forms.

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2015 IEEE International Symposium on Multiple-Valued Logic

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