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Using failure to guide inductive proof

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Original languageEnglish
PublisherUniversity of Edinburgh, Department of Artificial Intelligence
Publication statusPublished - 1992


Lemma discovery and generalization are two of the ma jor hurdles in automating inductive proof. This paper addresses aspects of these related problems. We build upon rippling, a heuristic which plays a pivotal role in guiding inductive proof. Rippling provides a high-level explanation of how to control the search for a proof. We demonstrate how this high-level explanation can be exploited productively when a proof attempt fails. In particular we show how failure can be used to focus the search for lemmas and generalizations.

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ID: 15514913