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Integration of Quantifier Elimination with Constraint Logic Programming

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Abstract

We examine the potential of an extension of constraint logic programming, where the admissible constraints are arbitrary first-order formulas over some domain. Constraint solving is realized by effective quantifier elimination. The arithmetic is always exact. We describe the conceptual advantages of our approach and the capabilities of the current implementation clp(rl). Supported domains are currently ℝ, ℂ, and ℚp. For our discussion here we restrict to ℝ.

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References

  1. Andreas Dolzmann and Thomas Sturm. Redlog: Computer algebra meets computer logic. ACM SIGSAM Bulletin, 31(2):2–9, June 1997.

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  2. Andreas Dolzmann, Thomas Sturm, and Volker Weispfenning. Real quantifier elimination in practice. In B. H. Matzat, G.-M. Greuel, and G. Hiss, editors, Algorithmic Algebra and Number Theory, pages 221–247. Springer, Berlin, 1998.

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© 2002 Springer-Verlag Berlin Heidelberg

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Sturm, T. (2002). Integration of Quantifier Elimination with Constraint Logic Programming. In: Calmet, J., Benhamou, B., Caprotti, O., Henocque, L., Sorge, V. (eds) Artificial Intelligence, Automated Reasoning, and Symbolic Computation. AISC Calculemus 2002 2002. Lecture Notes in Computer Science(), vol 2385. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45470-5_4

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  • DOI: https://doi.org/10.1007/3-540-45470-5_4

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-43865-6

  • Online ISBN: 978-3-540-45470-0

  • eBook Packages: Springer Book Archive

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