Skip to main content

GiNaCRA: A C++ Library for Real Algebraic Computations

  • Conference paper
NASA Formal Methods (NFM 2011)

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

Included in the following conference series:

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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/

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2011 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

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

Download citation

  • 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)

Publish with us

Policies and ethics