2015/01/23 by Marek Kosta, Kosta, Marek, Thomas Sturm +1
Computer Science · #FOS: Computer and information sciences #Logic in Computer Science (cs.LO) #Symbolic Computation (cs.SC) #cs.LO #cs.SC
paper · pdf · doi:10.48550/arxiv.1501.05826
arxiv created 2015/01/23 · arxiv updated 2015/01/26
We generalize the framework of virtual substitution for real quantifier elimination to arbitrary but bounded degrees. We make explicit the representation of test points in elimination sets using roots of parametric univariate polynomials described by Thom codes. Our approach follows an early suggestion by Weispfenning, which has never been carried out explicitly. Inspired by virtual substitution for linear formulas, we show how to systematically construct elimination sets containing only test points representing lower bounds.