A Generalized Framework for Virtual Substitution
Symbolic Computation
2015-01-26 v1 Logic in Computer Science
Abstract
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.
Keywords
Cite
@article{arxiv.1501.05826,
title = {A Generalized Framework for Virtual Substitution},
author = {Marek Kosta and Thomas Sturm},
journal= {arXiv preprint arXiv:1501.05826},
year = {2015}
}