13 citations · 19 across the 3 of their papers we have counts for
3 papers
cs.LO2023★ 1 cited
A constructive proof of Skolem theorem for constructive logic
Gilles Dowek, Benjamin Werner
If the sequent (Gamma entails forall x exists y A) is provable in first order constructive natural deduction, then the theory (Gamma, forall x (f (x)/y)A), where f is a new functio…
cs.LO2014★ 13 cited
Formal Proofs for Nonlinear Optimization
Victor Magron, Xavier Allamigeon, Stéphane Gaubert +1
We present a formally verified global optimization framework. Given a semialgebraic or transcendental function and a compact semialgebraic domain , we use the nonlinear maxp…
math.OC2014★ 5 cited
Certification of Real Inequalities -- Templates and Sums of Squares
Xavier Allamigeon, Stéphane Gaubert, Victor Magron +1
We consider the problem of certifying lower bounds for real-valued multivariate transcendental functions. The functions we are dealing with are nonlinear and involve semialgebraic…