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Resolution with Merging

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Automation of Reasoning

Part of the book series: Symbolic Computation ((1064))

Abstract

A refinement of the resolution method for mechanical theorem proving is presented. A resolvent C of clauses A and B is called a merge if literals from A and B merge together to form some literal of C. It is shown that the resolution method remains complete if it is required that two noninitial clauses which are not merges never be resolved with one another. It is also shown that this strategy can be combined with the set-of-support strategy.

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Reference

  1. G.A. Wilson and J. Minker, “Resolution, Refinements, and Search Strategies: A Comparative Study”, IEEE Transactions on Computers C-25 (1976), 782–801.

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© 1968 Association for Computing Machinery, Inc.

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Andrews, P.B. (1968). Resolution with Merging. In: Siekmann, J.H., Wrightson, G. (eds) Automation of Reasoning. Symbolic Computation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-81955-1_6

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  • DOI: https://doi.org/10.1007/978-3-642-81955-1_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-81957-5

  • Online ISBN: 978-3-642-81955-1

  • eBook Packages: Springer Book Archive

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