activity
20142024
most citedTermination of Linear Loops over the Integers

14 citations · 24 across the 4 of their papers we have counts for

collaborators

5 papers

cs.LG2024★ 2 cited

Tight Verification of Probabilistic Robustness in Bayesian Neural Networks

Ben Batten, Mehran Hosseini, Alessio Lomuscio

We introduce two algorithms for computing tight guarantees on the probabilistic robustness of Bayesian Neural Networks (BNNs). Computing robustness guarantees for BNNs is a signifi…

cs.FL2019★ 14 cited

Termination of Linear Loops over the Integers

Mehran Hosseini, Joël Ouaknine, James Worrell

We consider the problem of deciding termination of single-path while loops with integer variables, affine updates, and affine guard conditions. The question is whether such a loop…

cs.CC2018★ 8 cited

Effective Divergence Analysis for Linear Recurrence Sequences

Shaull Almagor, Brynmor Chapman, Mehran Hosseini +2

We study the growth behaviour of rational linear recurrence sequences. We show that for low-order sequences, divergence is decidable in polynomial time. We also exhibit a polynomia…

math.AG2015

Isomorphism classes of Doche-Icart-Kohel Curves over finite fields

Reza Rezaeian Farashahi, Mehran Hosseini

We give explicit formulas for the number of distinct elliptic curves over a finite field, up to isomorphism, in two families of curves introduced by C.~Doche, T.~Icart and D.~R. Ko…

cs.CC2014

On Termination of Integer Linear Loops

Joël Ouaknine, João Sousa Pinto, James Worrell

A fundamental problem in program verification concerns the termination of simple linear loops of the form x := u ; while Bx >= b do {x := Ax + a} where x is a vector of variables,…