We formalize a multivariate quantifier elimination (QE) algorithm in the theorem prover Isabelle/HOL. Our algorithm is complete, in that it is able to reduce any quantified formula in the first-order logic of real arithmetic to a logically equivalent quantifier-free formula. The algorithm we formalize is a hybrid mixture of Tarski's original QE algorithm and the Ben-Or, Kozen, and Reif algorithm, and it is the first complete multivariate QE algorithm formalized in Isabelle/HOL
www.csd.uwo.ca/∼moreno Abstract. Quantifier elimination (QE) over real closed fields has found numer...
This paper presents a framework to derive instantiation-based decision procedures for satisfiability...
Quantum Hoare Logic (QHL) was introduced in Ying's work to specify and reason about quantum programs...
International audienceThis paper describes a formalization of discrete real closed fields in the Coq...
Abstract. We present a fully proof-producing implementation of a quantifier elimination procedure fo...
As verification efforts using interactive theorem proving grow, we are in need of certified algorith...
International audienceEffective quantifier elimination procedures for first-order theories provide a...
AbstractWe propose a decision procedure for algebraically closed fields based on a quantifier elimin...
International audienceWe study a variant of the real quantifier elimination problem (QE). The varian...
We propose a new quantifier elimination algorithm for the theory of linear real arithmetic. This alg...
AbstractWe describe an algorithm (VQE) for a variant of the real quantifier elimination problem (QE)...
Quantifier Elimination (QE) in the domain of an algebraically closed field is much simpler than that...
In this paper we give a new algorithm for quantifier elimination in the first order theory of real c...
AbstractIn this paper we obtain an effective algorithm for quantifier elimination over algebraically...
The final publication is available at www.springerlink.comInternational audienceWe prove formally th...
www.csd.uwo.ca/∼moreno Abstract. Quantifier elimination (QE) over real closed fields has found numer...
This paper presents a framework to derive instantiation-based decision procedures for satisfiability...
Quantum Hoare Logic (QHL) was introduced in Ying's work to specify and reason about quantum programs...
International audienceThis paper describes a formalization of discrete real closed fields in the Coq...
Abstract. We present a fully proof-producing implementation of a quantifier elimination procedure fo...
As verification efforts using interactive theorem proving grow, we are in need of certified algorith...
International audienceEffective quantifier elimination procedures for first-order theories provide a...
AbstractWe propose a decision procedure for algebraically closed fields based on a quantifier elimin...
International audienceWe study a variant of the real quantifier elimination problem (QE). The varian...
We propose a new quantifier elimination algorithm for the theory of linear real arithmetic. This alg...
AbstractWe describe an algorithm (VQE) for a variant of the real quantifier elimination problem (QE)...
Quantifier Elimination (QE) in the domain of an algebraically closed field is much simpler than that...
In this paper we give a new algorithm for quantifier elimination in the first order theory of real c...
AbstractIn this paper we obtain an effective algorithm for quantifier elimination over algebraically...
The final publication is available at www.springerlink.comInternational audienceWe prove formally th...
www.csd.uwo.ca/∼moreno Abstract. Quantifier elimination (QE) over real closed fields has found numer...
This paper presents a framework to derive instantiation-based decision procedures for satisfiability...
Quantum Hoare Logic (QHL) was introduced in Ying's work to specify and reason about quantum programs...