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GiNaCRA: A C++ Library for Real Algebraic Computations

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NASA Formal Methods (NFM 2011)

Part of the book series: Lecture Notes in Computer Science ((LNPSE,volume 6617))

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Abstract

We present the growing C++ library GiNaCRA, which provides efficient and easy-to-integrate data structures and methods for real algebra. It is based on the C++ library GiNaC, supporting the symbolic representation and manipulation of polynomials. In contrast to other similar tools, our open source library aids exact, real algebraic computations based on an appropriate data type representing real zeros of polynomials. The only non-standard library GiNaCRA depends on is GiNaC, which makes the installation and usage of our library simple. Our long-term goal is to integrate decision procedures for real algebra within the Satisfiability-Modulo-Theories (SMT) context and thereby provide tool support for many applied formal methods.

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References

  1. http://www.ginac.de/

  2. http://ljk.imag.fr/CASYS/LOGICIELS/givaro/

  3. http://www-sop.inria.fr/galaad/logiciels/synaps/

  4. http://www.math.tu-berlin.de/~kant/kash.html

  5. http://www.maplesoft.com/

  6. http://www.mathworks.de/

  7. http://www.wolfram.com/

  8. Abbott, J., Bigatti, A.: CoCoALib: a c++ library for doing Computations in Commutative Algebra, http://cocoa.dima.unige.it/cocoalib/

  9. Barrett, C., Stump, A., Tinelli, C.: The Satisfiability Modulo Theories Library, SMT-LIB (2010), http://www.SMT-LIB.org

  10. Basu, S., Pollack, R., Roy, M.: Algorithms in real algebraic geometry, 2nd edn., vol. 10. Springer, Heidelberg (2010)

    MATH  Google Scholar 

  11. Brown, C.W.: QEPCAD B: a program for computing with semi-algebraic sets using CADs. SIGSAM Bulletin 37(4), 97–108 (2003)

    Article  MATH  Google Scholar 

  12. Decker, W., Greuel, G.M., Pfister, G., Schönemann, H.: Singular 3-1-2 — A computer algebra system for polynomial computations (2010), http://www.singular.uni-kl.de

  13. Dolzmann, A., Sturm, T.: REDLOG: Computer algebra meets computer logic. SIGSAM Bulletin 31(2), 2–9 (1997)

    Article  Google Scholar 

  14. Mishra, B.: Algorithmic Algebra. Texts and Monographs in Computer Science. Springer, New York (1993)

    Book  MATH  Google Scholar 

  15. The PARI Group, Bordeaux: PARI/GP, version 2.3.5 (2008), http://pari.math.u-bordeaux.fr/

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Author information

Authors and Affiliations

  1. RWTH Aachen University, Germany

    Ulrich Loup & Erika Ábrahám

Authors
  1. Ulrich Loup
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  2. Erika Ábrahám
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Editors and Affiliations

  1. NASA Jet Propulsion Laboratory, 4800 Oak Grove Drive, M/S 301-285, 91109, Pasadena, CA, USA

    Mihaela Bobaru , Klaus Havelund , Gerard J. Holzmann  & Rajeev Joshi , ,  & 

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© 2011 Springer-Verlag Berlin Heidelberg

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Loup, U., Ábrahám, E. (2011). GiNaCRA: A C++ Library for Real Algebraic Computations. In: Bobaru, M., Havelund, K., Holzmann, G.J., Joshi, R. (eds) NASA Formal Methods. NFM 2011. Lecture Notes in Computer Science, vol 6617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-20398-5_41

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  • DOI: https://doi.org/10.1007/978-3-642-20398-5_41

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-20397-8

  • Online ISBN: 978-3-642-20398-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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