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International Joint Conference on Automated Reasoning

IJCAR 2012: Automated Reasoning pp 339–354Cite as

Solving Non-linear Arithmetic

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 7364))

Abstract

We present a new algorithm for deciding satisfiability of non-linear arithmetic constraints. The algorithm performs a Conflict-Driven Clause Learning (CDCL)-style search for a feasible assignment, while using projection operators adapted from cylindrical algebraic decomposition to guide the search away from the conflicting states.

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Author information

Authors and Affiliations

  1. New York University, USA

    Dejan Jovanović

  2. Microsoft Research, USA

    Leonardo de Moura

Authors
  1. Dejan Jovanović
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  2. Leonardo de Moura
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Editor information

Editors and Affiliations

  1. Fakultät für Informatik, Technische Universität Wien, Favoritenstr. 9, E185/2, 1040, Wien, Austria

    Bernhard Gramlich

  2. École Polytechnique, INRIA Saclay and Laboratoire d’Informatique, Route de Saclay, 91128, Palaiseau Cedex, France

    Dale Miller

  3. School of Computer Science, University of Manchester, Oxford Road, M13 9PL, Manchester, UK

    Uli Sattler

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Jovanović, D., de Moura, L. (2012). Solving Non-linear Arithmetic. In: Gramlich, B., Miller, D., Sattler, U. (eds) Automated Reasoning. IJCAR 2012. Lecture Notes in Computer Science(), vol 7364. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-31365-3_27

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  • DOI: https://doi.org/10.1007/978-3-642-31365-3_27

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-31364-6

  • Online ISBN: 978-3-642-31365-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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