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Three Is a Crowd: SAT, SMT and CLP on a Chessboard

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Practical Aspects of Declarative Languages (PADL 2018)

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Abstract

Constraint solving technology for declarative formal models has made considerable progress in recent years, and has many applications such as animation of high-level specifications, test case generation, or symbolic model checking. In this article we evaluate the idea of using very high-level declarative models themselves to express constraint satisfaction problems. In particular, we study an old mathematical puzzle from 100 years ago, called the crowded chessboard. We study various high-level and low-level encodings and solutions, covering SAT, SMT and CLP-based solutions of the puzzle. Additionally, we present a new technique combining SAT-solving with CLP which is able to solve the puzzle efficiently.

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Notes

  1. 1.

    Some even argue that formal specifications should be non-executable [11].

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Authors and Affiliations

  1. Institut für Informatik, Universität Düsseldorf, Universitätsstr. 1, 40225, Düsseldorf, Germany

    Sebastian Krings, Michael Leuschel & Philipp Körner

  2. Department of Engineering, Aarhus University, Aarhus, Denmark

    Stefan Hallerstede & Miran Hasanagić

Authors
  1. Sebastian Krings
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  2. Michael Leuschel
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  3. Philipp Körner
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  4. Stefan Hallerstede
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  5. Miran Hasanagić
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Correspondence to Sebastian Krings .

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Editors and Affiliations

  1. Department of Mathematics and Computer Science, University of Calabria, Rende, Italy

    Francesco Calimeri

  2. Computer Science Department, University of Texas at Dallas, Richardson, Texas, USA

    Kevin Hamlen

  3. Department of Mathematics and Computer Science, University of Calabria, Rende, Italy

    Nicola Leone

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Krings, S., Leuschel, M., Körner, P., Hallerstede, S., Hasanagić, M. (2018). Three Is a Crowd: SAT, SMT and CLP on a Chessboard. In: Calimeri, F., Hamlen, K., Leone, N. (eds) Practical Aspects of Declarative Languages. PADL 2018. Lecture Notes in Computer Science(), vol 10702. Springer, Cham. https://doi.org/10.1007/978-3-319-73305-0_5

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  • DOI: https://doi.org/10.1007/978-3-319-73305-0_5

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