模态mu微积分的一个表证明系统

HOWARD-60 Pub Date : 2014-02-12 DOI:10.29007/lwqm

C. Stirling

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引用次数: 18

摘要

Howard Barringer是研究不动点时间逻辑的先驱[1]。它们的加入增加了相当大的表现力。一个普遍的问题是如何为这样的逻辑定义证明系统。这里我们研究具有不动点的模态逻辑的证明系统。我们提出了一个表格证明系统，用于检查公式的有效性，该系统使用名称来跟踪[8]中设计的不动点变量的展开。

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A Tableau Proof System with Names for Modal Mu-calculus

Howard Barringer was a pioneer in the study of temporal logics with fixpoints [1]. Their addition adds considerable expressive power. One general issue is how to define proof systems for such logics. Here we examine proof systems for modal logic with fixpoints. We present a tableau proof system for checking validity of formulas which uses names to keep track of unfoldings of fixpoint variables as devised in [8].

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HOWARD-60

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