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The Expressive Power of Binary Linear Programming

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Principles and Practice of Constraint Programming — CP 2001 (CP 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2239))

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Abstract

Very efficient solvers for Integer Programming exist, when the constraints and the objective function are linear. In this paper we tackle a fundamental question: what is the expressive power of Integer Linear Programming? We are able to prove that ILP, more precisely Binary LP, expresses the complexity class NP. As a consequence, in principle all specifications of combinatorial problems in NP formulated in constraint languages can be translated as BLP models.

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Author information

Authors and Affiliations

  1. Dipartimento di Informatica e Sistemistica, Universitá di Roma “La Sapienza”, Via Salaria 113, I-00198, Roma, Italy

    Marco Cadoli

Authors
  1. Marco Cadoli
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Editor information

Editors and Affiliations

  1. Department of Computer Science, The University of York, YO10 5DD, Heslington, York, UK

    Toby Walsh

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© 2001 Springer-Verlag Berlin Heidelberg

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Cadoli, M. (2001). The Expressive Power of Binary Linear Programming. In: Walsh, T. (eds) Principles and Practice of Constraint Programming — CP 2001. CP 2001. Lecture Notes in Computer Science, vol 2239. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45578-7_41

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  • DOI: https://doi.org/10.1007/3-540-45578-7_41

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42863-3

  • Online ISBN: 978-3-540-45578-3

  • eBook Packages: Springer Book Archive

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