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An Automata-Theoretic Approach to

机译:自动机理论方法

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摘要

Translating computation tree logic formulas into Buchi tree automata has been proven to be an effective approach for implementing branching-time model checking. For a more generalized class of lattice-valued (L-valued, for short) computation tree logic formulas, the revelent study has not proceeded yet. We introduce the notion of L-valued alternating Buchi tree automata and achieve the goal of associating each L-valued computation tree logic formula with an L-valued Buchi tree automaton. We show that a satisfiability problem for an L-valued computation tree logic formula can be reduced to one for the language accepted by an L-valued Buchi tree automaton. L-valued alternating Buchi tree automata are the key to the automata-theoretic approach to L-valued computation tree logics, and we also study their expressive power and closure properties.
机译:将计算树逻辑公式转换为Buchi树自动机已被证明是实现分支时间模型检查的有效方法。对于更广义的一类晶格值(简称L值)计算树逻辑公式,尚未进行全面的研究。我们介绍了L值交替Buchi树自动机的概念,并实现了将每个L值计算树逻辑公式与L值Buchi树自动机相关联的目标。我们表明,对于L值Buchi树自动机接受的语言,L值计算树逻辑公式的可满足性问题可以简化为一个。 L值交替Buchi树自动机是L值计算树逻辑的自动机理论方法的关键,我们还研究了它们的表达能力和闭合性质。

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