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An implementation method of Boolean Gröbner bases and comprehensive Boolean Gröbner bases on general computer algebra systems. (English) Zbl 1434.13003
Hong, Hoon (ed.) et al., Mathematical software – ICMS 2014. 4th international congress, Seoul, South Korea, August 5–9, 2014. Proceedings. Berlin: Springer. Lect. Notes Comput. Sci. 8592, 531-536 (2014).
Summary: We study an implementation method to compute Boolean Gröbner bases introduced in our previous work [COE Lect. Note 22, 58–62 (2009; Zbl 1186.68581)] in more detail. We extend our method for computing comprehensive Boolean Gröbner bases with a technique introduced in [Y. Sato et al., Lect. Notes Comput. Sci. 5081, 334–348 (2008; Zbl 1166.13303)]. Our work has been implemented on the computer algebra system Risa/Asir. It enables us to do our recent work of a non-trivial application of Boolean Gröbner bases.
For the entire collection see [Zbl 1293.65003].
MSC:
13-04 Software, source code, etc. for problems pertaining to commutative algebra
13P10 Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases)
68W30 Symbolic computation and algebraic computation
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