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Role of involutive criteria in computing Boolean Gröbner bases

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Publication:840090
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DOI10.1134/S0361768809020042zbMath1184.13078OpenAlexW2007031430MaRDI QIDQ840090

M. V. Zinin, Vladimir P. Gerdt

Publication date: 4 September 2009

Published in: Programming and Computer Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0361768809020042


Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10)


Related Items

Characteristic set algorithms for equation solving in finite fields



Cites Work

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  • Involutive method for computing Gröbner bases over \(\mathbb F_2\)
  • New developments in the theory of Gröbner bases and applications to formal verification
  • A new efficient algorithm for computing Gröbner bases \((F_4)\)
  • Involutive bases of polynomial ideals
  • A Gröbner approach to involutive bases
  • Effectiveness of involutive criteria in computation of polynomial Janet bases
  • Detecting unnecessary reductions in an involutive basis computation
  • On Connection Between Constructive Involutive Divisions and Monomial Orderings
  • Advances in Cryptology - CRYPTO 2003
  • Computer Algebra in Scientific Computing
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