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International Conference on Logic for Programming Artificial Intelligence and Reasoning

LPAR 2007: Logic for Programming, Artificial Intelligence, and Reasoning pp 47–61Cite as

Extending a Resolution Prover for Inequalities on Elementary Functions

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4790))

Abstract

Experiments show that many inequalities involving exponentials and logarithms can be proved automatically by combining a resolution theorem prover with a decision procedure for the theory of real closed fields (RCF). The method should be applicable to any functions for which polynomial upper and lower bounds are known. Most bounds only hold for specific argument ranges, but resolution can automatically perform the necessary case analyses. The system consists of a superposition prover (Metis) combined with John Harrison’s RCF solver and a small amount of code to simplify literals with respect to the RCF theory.

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Authors and Affiliations

  1. Computer Laboratory, University of Cambridge, England

    Behzad Akbarpour & Lawrence C. Paulson

Authors
  1. Behzad Akbarpour
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  2. Lawrence C. Paulson
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Nachum Dershowitz Andrei Voronkov

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© 2007 Springer-Verlag Berlin Heidelberg

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Akbarpour, B., Paulson, L.C. (2007). Extending a Resolution Prover for Inequalities on Elementary Functions. In: Dershowitz, N., Voronkov, A. (eds) Logic for Programming, Artificial Intelligence, and Reasoning. LPAR 2007. Lecture Notes in Computer Science(), vol 4790. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-75560-9_6

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  • DOI: https://doi.org/10.1007/978-3-540-75560-9_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-75558-6

  • Online ISBN: 978-3-540-75560-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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