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Boolean Gröbner bases - Theory, Algorithms and Applications

Michael Brickenstein

ISBN 978-3-8325-2597-2
160 pages, year of publication: 2010
price: 35.00 €
There exist very few concepts in computational algebra which are as central to theory and applications as Gröbner bases. This thesis describes theory, algorithms and applications for the special case of Boolean polynomials.

These parts form the mathematical foundations of the PolyBoRi framework (developed by the author together with Alexander Dreyer). The PolyBoRi framework has applications spread over a large number of domains ranging from formal verification, computational biology to cryptanalysis and many more. It is emerged to a worldwide audience by the Sage computational algebra system.

Keywords:
  • Boolean Gröbner bases
  • Satisfiability
  • Cryptanalysis
  • Formal Verification
  • Computational Biology

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