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A Technical Note on Splitting and Clausal Normal Form Algorithms

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Book cover GWAI-83

Part of the book series: Informatik-Fachberichte ((INFORMATIK,volume 76))

Abstract

A modification of the clausal normal form algorithm is presented that allows for a controlled splitting of problems into independent subproblems. This method enabled the Markgraf Karl theorem proving system to prove some rather difficult theorems that it could not solve otherwise.

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References

  1. W. Bledsoe: Splitting and Reduction Heuristics in Automatic Theorem Proving AI Journal 2, pp. 55–77, 1971

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  2. D. de Champeaux: Challenge Problem 1 without Search SIGART Newsletter 76, pp. 12–13, April 1981

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  3. G. Ernst The Utility of Independent Subgoals in Theorem Proving Information and Control 18, pp. 237–252, 1971

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  4. L. Henschen et al. Challenge Problem 1 SIGART Newsletter 72, pp. 30–31, July 1980

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  5. D. Loveland: Automated Theorem Proving: A Logical Basis North Holland, New York, 1978

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  6. Karl Mark G. Raph: The Markgraf Karl Refutation Procedure: Spring 1983 Internal Report, University of Karlsruhe, 1983

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  7. A. Nevins: A Relaxation Approach to Splitting in an Automatic Theorem Prover AI Journal 6, pp. 25–39, 1975

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© 1983 Springer-Verlag Berlin Heidelberg

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Eisinger, N., Weigele, M. (1983). A Technical Note on Splitting and Clausal Normal Form Algorithms. In: Neumann, B. (eds) GWAI-83. Informatik-Fachberichte, vol 76. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-69391-5_21

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  • DOI: https://doi.org/10.1007/978-3-642-69391-5_21

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-12871-7

  • Online ISBN: 978-3-642-69391-5

  • eBook Packages: Springer Book Archive

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