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A new presburger arithmetic decision procedure based on extended prolog execution

  • Laurent Fribourg
Logic Programming
Part of the Lecture Notes in Computer Science book series (LNCS, volume 456)

Abstract

In this paper we are concerned by the problem of determining validity of universal Presburger formulas. The original point here is that we do not use a specific algorithm but attempt to prove Presburger formulas by induction using Kanamori et al.’ verification systems of extended Prolog execution. This leads us to a new decision algorithm for which a proof of correctness is given.

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References

  1. Bledsoe, W.W. “A new method for proving certain Presburger formulas”, Advance Papers 4th Int. Joint Conf. on Artif. Intell., Tibilisi, 1975.Google Scholar
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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Laurent Fribourg
    • 1
  1. 1.L.I.E.N.S.ParisFrance

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