On Arithmetical Formulas Whose Jacobians Are Grr Obner Bases
نویسنده
چکیده
We exhibit classes of polynomials whose sets of kth partial derivatives form Gro bner bases for all k, with respect to all term orders. The classes are deened by syntactic constraints on arithmetical formulas deening the polynomials. Read-once formulas without constants have this property for all k, while those with constants have a weaker \Grr obner-bounding" property introduced here. For k = 1 the same properties hold even with arbitrary powering of subterms of the formulas.
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تاریخ انتشار 2000