Abstract. We analyze Hmelevskii's theorem, which states that the general solutions of constant-free equations on three unknowns are expressible by a finite collection of formu...
We present a family of tools for program development and verification, comprising the transformation system TAS and the theorem proving interface IsaWin. Both are based on the theo...
We prove two versions of Stickelberger’s Theorem for positive dimensions and use them to compute the connected and irreducible components of a complex algebraic variety. If the ...
We describe here a formal proof in the Coq system of the structure theorem for subresultants, which allows to prove formally the correctness of our implementation of the subresulta...
Abstract. We address the general problem of automatically proving safety properties of reactive systems within the UNITY model. We take up a relational and set-based approach, and ...