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Loop Formulas for Splitable Temporal Logic Programs

机译:可分类时间逻辑程序的循环公式

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摘要

In this paper, we study a method for computing temporal equilibrium models, a generalisation of stable models for logic programs with temporal operators, as in Linear Temporal Logic (LTL). To this aim, we focus on a syntactic subclass of these temporal logic programs called splitable and whose main property is satisfying a kind of "fu ture projected" dependence present in most dynamic scenarios in An swer Set Programming (ASP). Informally speaking, this property can be expressed as "past does not depend on the future." We show that for this syntactic class, temporal equilibrium models can be captured by an LTL formula, that results from the combination of two well-known techniques in ASP: splitting and loop formulas. As a result, an LTL model checker can be used to obtain the temporal equilibrium models of the program.
机译:在本文中,我们研究了用于计算时间均衡模型的方法,具有时间运算符的逻辑程序的稳定模型的概括,如线性时间逻辑(LTL)。为此目的,我们专注于称为可转换的这些时间逻辑程序的句法子类,其主要属性符合一种在摇摆SET编程(ASP)中的大多数动态方案中存在的“FU Ture投影”依赖。非正式地说,这个属性可以表示为“过去不依赖未来”。我们表明,对于这种句法等级,可以通过LTL公式捕获时间平衡模型,这是由ASP中的两个众所周知的技术的组合来捕获:分裂和环形公式。结果,LTL模型检查器可用于获得程序的时间平衡模型。

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