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Prime Implicates and Reduced Implicate Tries

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 5722))

Abstract

The reduced implicate trie (ri-trie) is a data structure that was introduced as a target language for knowledge compilation. It has the property that, even when large, it guarantees fast response to queries. It also has the property that each prime implicate of the formula it represents corresponds to a branch. In this paper, those prime branches are characterized, and a technique is developed for marking nodes to identify branches that correspond to non-prime implicates. This marking technique is enhanced to allow discovery of prime implicate subsets of queries that are answered affirmatively.

This research was supported in part by the National Science Foundation under grants IIS-0712849 and IIS-0712752.

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Murray, N.V., Rosenthal, E. (2009). Prime Implicates and Reduced Implicate Tries . In: Rauch, J., Raś, Z.W., Berka, P., Elomaa, T. (eds) Foundations of Intelligent Systems. ISMIS 2009. Lecture Notes in Computer Science(), vol 5722. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04125-9_22

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  • DOI: https://doi.org/10.1007/978-3-642-04125-9_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-04124-2

  • Online ISBN: 978-3-642-04125-9

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