In this paper we classify several algorithmic problems in group theory in the classes PZK and SZK (problems with perfect/statistical zero-knowledge proofs respectively). Prior to ...
We give a short and simple proof of Hales and Hallgren's Fourier Sampling Theorem ["Quantum Fourier Sampling Simplified", Proceedings of the Thirty-First Annual ACM...
Our general goal is to provide better automation in interactive proof assistants such as Coq. We present an interpreter of proof traces in first-order multi-sorted logic with equal...
Abstract. We investigate the theories LA, LAP, LAP of linear algebra, which were originally defined to study the question of whether commutativity of matrix inverses has polysize F...
We shall discuss several situations in which it is possible to extract from a proof, be it a proof in a first-order theory or a propositional proof, some feasible computational inf...