61 citations · 109 across the 8 of their papers we have counts for
4 papers · 1 filter
Enhanced CAD-Based Quantifier Elimination With Multiple Equational Constraints
James H. Davenport, Matthew England, Scott McCallum
This paper presents two enhancements to cylindrical algebraic decomposition (CAD) based quantifier elimination (QE) for cases in which multiple equational constraints are present i…
Iterated Resultants and Rational Functions in Real Quantifier Elimination
James H. Davenport, Matthew England, Scott McCallum +1
This paper builds and extends on the authors' previous work related to the algorithmic tool, Cylindrical Algebraic Decomposition (CAD), and one of its core applications, Real Quant…
Truth Table Invariant Cylindrical Algebraic Decomposition
Russell Bradford, James H. Davenport, Matthew England +2
When using cylindrical algebraic decomposition (CAD) to solve a problem with respect to a set of polynomials, it is likely not the signs of those polynomials that are of paramount…
Cylindrical Algebraic Decompositions for Boolean Combinations
Russell Bradford, James H. Davenport, Matthew England +2
This article makes the key observation that when using cylindrical algebraic decomposition (CAD) to solve a problem with respect to a set of polynomials, it is not always the signs…