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arXiv 2610.04228cs.LO

Shininess 的两个推广

Two generalizations of shininess

Guilherme V. Toledo, Yoni Zohar

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中文总结 AI 辅助

本文提出 shininess 的两个无限族推广,分别涉及温和性与 shininess 之间的性质及去除可计算性和光滑性要求,并证明其尖锐性及与现有方法的比较。

中文摘要 AI 辅助

Shininess 是可满足性模理论中主要的理论组合方法之一。我们提出了它的两个无限族推广:一个涉及介于温和性与 shininess 之间的性质,这有助于我们将温和性本身视为 shininess 的一种变体;另一个则对较弱理论不再有进一步的可计算性要求,此外还去除了对光滑性的需求。我们证明了这些方法的尖锐性,并将其与现有方法进行了比较。

英文摘要

Shininess is one of the main theory combination methods in Satisfiability Modulo Theories. We present two infinite families of generalizations of it: one involving a property between gentleness and shininess, which helps us see gentleness itself as a variation of shininess; and another having no further computability requirements on the weaker theory, in addition dropping the need for smoothness. We prove these methods sharp, and compare them with existing methods.

发表机构

  • University of São Paulo(圣保罗大学)
  • Bar-Ilan University(巴伊兰大学)

机构由 AI 辅助整理,请以论文原文为准。

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