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Detecting Redundancy Caused by Congruent Links in Clause Graphs

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Part of the book series: Informatik-Fachberichte ((2252,volume 216))

Abstract

In general, the result of a sequence of resolution steps depends on the order, in which the clauses are used. There are, however, situations, for which this order is irrelevant Performing all possible resolutions thus leads to the generation of identical clauses. Hyperresolution is an approach that overcomes part of this problem. Still, there are well known examples for the deduction of identical clauses by permuting the order of resolution steps, to which hyperresolution does not apply. In this paper, it is shown that the reduncancy in these examples is inherent not in the participating clauses but rather in so called congruent links. Furthermore, a solution to the problem with generating redundant clauses is proposed.

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© 1989 Springer-Verlag Berlin Heidelberg

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Socher-Ambrosius, R. (1989). Detecting Redundancy Caused by Congruent Links in Clause Graphs. In: Metzing, D. (eds) GWAI-89 13th German Workshop on Artificial Intelligence. Informatik-Fachberichte, vol 216. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-75100-4_9

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  • DOI: https://doi.org/10.1007/978-3-642-75100-4_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51743-6

  • Online ISBN: 978-3-642-75100-4

  • eBook Packages: Springer Book Archive

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