Fast simplifications for Tarski formulas

Authors:
Christopher W. Brown
Affiliations:
United States Naval Academy, Annapolis, MD, USA
Venue:
Proceedings of the 2009 international symposium on Symbolic and algebraic computation
Year:
2009

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Abstract

We define the "combinatorial part" of a Tarski formula in which equalities and inequalities are in factored or partially-factored form. The combinatorial part of a formula contains only "monomial inequalities", which are sign conditions on monomials. We give efficient algorithms for answering some basic questions about conjunctions of monomial inequalities and prove the NP-Completeness/Hardness of some others.