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Combining Multisets with Integers

  • Calogero G. Zarba
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 2392)

Abstract

We present a decision procedure for a constraint language combining multisets of ur-elements, the integers, and an arbitrary first-order theory T of the ur-elements. Our decision procedure is an extension of the Nelson-Oppen combination method specifically tailored to the combination domain of multisets, integers, and ur-elements.

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References

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    Greg Nelson and Derek C. Oppen. Simplification by cooperating decision procedures. ACM Transactions on Programming Languages and Systems, 1(2):245–257, 1979.zbMATHCrossRefGoogle Scholar
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    Christos H. Papadimitriou. On the complexity of integer programming. Journal of the Association for Computing Machinery, 28(4):765–768, 1981.zbMATHMathSciNetGoogle Scholar
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    Cesare Tinelli and Mehdi T. Harandi. A new correctness proof of the Nelson-Oppen combination procedure. In Franz Baader and Klaus U. Schulz, editors, Frontiers of Combining Systems, volume 3 of Applied Logic Series, pages 103–120. Kluwer Academic Publishers, 1996.Google Scholar
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    Calogero G. Zarba. Combining lists with integers. In Rajeev Goré, Alexander Leitsch, and Tobias Nipkow, editors, International Joint Conference on Automated Reasoning (Short Papers), Technical Report DII 11/01, pages 170–179. University of Siena, Italy, 2001.Google Scholar
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    Calogero G. Zarba. Combining sets with integers. In Alessandro Armando, editor, Frontiers of Combining Systems, volume 2309 of Lecture Notes in Artificial Intelligence, pages 103–116. Springer, 2002.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Calogero G. Zarba
    • 1
    • 2
  1. 1.Stanford UniversityUSA
  2. 2.University of CataniaItaly

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