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Reasoning with Forest Logic Programs Using Fully Enriched Automata

机译:使用完全丰富的自动机通过森林逻辑程序进行推理

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Forest Logic Programs (FoLP) are a decidable fragment of Open Answer Set Programming (OASP) which have the forest model property. OASP extends Answer Set Programming (ASP) with open domains-a feature which makes it possible for FoLPs to simulate reasoning with the description logic SHOQ. In the past, several tableau algorithms have been devised to reason with FoLPs, the most recent of which established a NExpTimb upper bound for reasoning with the fragment. While known to be ExpTime-hard, the exact complexity characterization of reasoning with FoLPs was still unknown. In this paper we settle this open question by a reduction of reasoning with FoLPs to emptiness checking of fully enriched automata which are known to be ExpTime-complete.
机译:森林逻辑程序(FoLP)是具有森林模型属性的开放式答案集编程(OASP)的可确定片段。 OASP扩展了具有开放域的答案集编程(ASP),此功能使FoLP可以使用描述逻辑SHOQ来模拟推理。过去,已经设计了几种表格算法来对FoLP进行推理,其中最近的算法为片段推理建立了NExpTimb上限。尽管已知它对ExpTime困难,但使用FoLP进行推理的确切复杂度表征仍然未知。在本文中,我们通过将FoLP的推理减少到对完全富集的自动机的空度检查(这是已知的ExpTime-complete)来解决这一悬而未决的问题。

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