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International Conference on Intelligent Computer Mathematics

CICM 2016: Intelligent Computer Mathematics pp 28–43Cite as

\(\mathsf {SC}^\mathsf{2} \): Satisfiability Checking Meets Symbolic Computation

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Part of the Lecture Notes in Computer Science book series (LNAI,volume 9791)

Abstract

Symbolic Computation and Satisfiability Checking are two research areas, both having their individual scientific focus but sharing also common interests in the development, implementation and application of decision procedures for arithmetic theories. Despite their commonalities, the two communities are rather weakly connected. The aim of our newly accepted \(\mathsf {SC}^\mathsf{2} \) project (H2020-FETOPEN-CSA) is to strengthen the connection between these communities by creating common platforms, initiating interaction and exchange, identifying common challenges, and developing a common roadmap from theory along the way to tools and (industrial) applications. In this paper we report on the aims and on the first activities of this project, and formalise some relevant challenges for the unified \(\mathsf {SC}^\mathsf{2} \) community.

Keywords

  • Logical problems
  • Symbolic computation
  • Computer algebra systems
  • Satisfiability checking
  • Satisfiability modulo theories

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Fig. 1.
Fig. 2.

Notes

  1. 1.

    It is usual in the SMT community to refer to these constraints as arithmetic. But, as they involve quantities as yet unknown, manipulating them is algebra. Hence both words occur, with essentially the same meaning, throughout this document.

  2. 2.

    http://www.dagstuhl.de/en/program/calendar/semhp/?semnr=15471.

  3. 3.

    Email contact: J.H.Davenport@bath.ac.uk.

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Acknowledgements

We thank the anonymous reviewers for their comments. We are grateful for support by the H2020-FETOPEN-2016-2017-CSA project \(\mathsf {SC}^\mathsf{2} \) (712689) and the ANR project ANR-13-IS02-0001-01 SMArT. Earlier work in this area was also supported by the EPSRC grant EP/J003247/1.

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Authors and Affiliations

  1. RWTH Aachen University, Aachen, Germany

    Erika Ábrahám

  2. Albert-Ludwigs-Universität, Freiburg, Germany

    Bernd Becker

  3. Università Degli Studi di Genova, Genova, Italy

    Anna M. Bigatti

  4. Johannes Kepler Universität, Linz, Austria

    Bruno Buchberger

  5. Fondazione Bruno Kessler, Trento, Italy

    Alessandro Cimatti & Alberto Griggio

  6. University of Bath, Bath, UK

    James H. Davenport

  7. Coventry University, Coventry, UK

    Matthew England

  8. CNRS, LORIA, Inria, Nancy, France

    Thomas Sturm

  9. LORIA, Inria, Université de Lorraine, Nancy, France

    Pascal Fontaine

  10. Maplesoft Europe Ltd., Aachen, Germany

    Stephen Forrest

  11. University of Oxford, Oxford, UK

    Martin Brain & Daniel Kroening

  12. Universität Kassel, Kassel, Germany

    John Abbott & Werner M. Seiler

  13. Max-Planck-Institut für Informatik, Saarbrücken, Germany

    Thomas Sturm

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  1. Erika Ábrahám
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Editors and Affiliations

  1. Jacobs University Bremen, Bremen, Germany

    Michael Kohlhase

  2. Chalmers University, Göteborg, Sweden

    Moa Johansson

  3. National Institute of Standards and Technology, Gaithersburg, Maryland, USA

    Bruce Miller

  4. Microsoft Research, Redmond, Washington, USA

    Leonardo de Moura

  5. University of Waterloo, Waterloo, Ontario, Canada

    Frank Tompa

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Ábrahám, E. et al. (2016). \(\mathsf {SC}^\mathsf{2} \): Satisfiability Checking Meets Symbolic Computation. In: Kohlhase, M., Johansson, M., Miller, B., de Moura, L., Tompa, F. (eds) Intelligent Computer Mathematics. CICM 2016. Lecture Notes in Computer Science(), vol 9791. Springer, Cham. https://doi.org/10.1007/978-3-319-42547-4_3

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