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Computation of Closures of Nonmonotonic Inference Relations Induced by Conditional Knowledge Bases

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Symbolic and Quantitative Approaches to Reasoning with Uncertainty (ECSQARU 2019)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 11726))

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Abstract

Conditionals of the form “If A, then usually B” are often used to define nonmonotonic inference relations. Many ways have been proposed to inductively complete a knowledge base consisting of a finite set of conditionals to a complete inference relation. Implementations of these semantics are usually used to answer specific queries on demand. However, for some applications it is necessary or advantageous to compute the closure of the inference relation induced by a knowledge base. In this paper, we propose an approach to computing complete inference relations using implementations of inference systems for single queries. Our approach exploits special characteristics of conditionals and inference properties like Right Weakening in order to reduce the amount of costly query answering to a minimum.

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Correspondence to Steven Kutsch .

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Kutsch, S., Beierle, C. (2019). Computation of Closures of Nonmonotonic Inference Relations Induced by Conditional Knowledge Bases. In: Kern-Isberner, G., Ognjanović, Z. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2019. Lecture Notes in Computer Science(), vol 11726. Springer, Cham. https://doi.org/10.1007/978-3-030-29765-7_19

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  • DOI: https://doi.org/10.1007/978-3-030-29765-7_19

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