An Inference Rule for Hypothesis Generation

An Inference Rule for Hypothesis Generation
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假设生成的推理规则

DOI:
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发表时间:
1991
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影响因子:
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通讯作者:
L. F. D. Cerro
L. F. D. Cerro
中科院分区:
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文献类型:
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作者:
R. Demolombe;L. F. D. Cerro

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自动推理有许多新的应用领域,我们必须应用溯因推理。在这些应用中,我们必须产生具有某些适当性质的给定理论的结果。特别是,我们考虑的情况下,我们必须生成的条款包含一个给定的文字L的实例。在这样的子句中对其他文字的否定是允许导出L的假设。 在本文中,我们提出了一个推理规则,称为L-推理,这是为了推导出这些条款,和L-策略。L-推理规则是一种输入超分辨。本文的主要结果是证明了L-推理规则的可靠性和完备性。与L-推理规则相关联的L-策略是通过删除重言式和所包含的分句而达到的水平饱和。我们证明L策略也是完全的。
There are many new application fields for automated deduction where we have to apply abductive reasoning. In these applications we have to generate consequences of a given theory having some appropriate properties. In particular we consider the case where we have to generate the clauses containing instances of a given literal L. The negation of the other literals in such clauses are hypothesis allowing to derive L. In this paper we present an inference rule, called L-inference, which was designed in order to derive those clauses, and a L-strategy. The L-inference rule is a sort of Input Hyper-resolution. The main result of the paper is the proof of the soundness and completeness of the L-inference rule. The L-strategy associated to the L-inference rule, is a saturation by level with deletion of the tautologies and of the subsumed clauses. We show that the L-strategy is also complete.