5 citations · 16 across the 10 of their papers we have counts for
22 papers
On the -adic zeros of the Tribonacci sequence
Yuri Bilu, Florian Luca, Joris Nieuwveld +2
In this paper, we refute some conjectures of Marques and Lengyel concerning the -adic valuations of members of the Tribonacci sequence.
On the Complexity of the Escape Problem for Linear Dynamical Systems over Compact Semialgebraic Sets
Julian D'Costa, Engel Lefaucheux, Eike Neumann +2
We study the computational complexity of the Escape Problem for discrete-time linear dynamical systems over compact semialgebraic sets, or equivalently the Termination Problem for…
Porous Invariants
Engel Lefaucheux, Joël Ouaknine, David Purser +1
We introduce the notion of porous invariants for multipath (or branching/nondeterministic) affine loops over the integers; these invariants are not necessarily convex, and can in f…
The Orbit Problem for Parametric Linear Dynamical Systems
Christel Baier, Florian Funke, Simon Jantsch +7
We study a parametric version of the Kannan-Lipton Orbit Problem for linear dynamical systems. We show decidability in the case of one parameter and Skolem-hardness with two or mor…
Deciding -Regular Properties on Linear Recurrence Sequences
Shaull Almagor, Toghrul Karimov, Edon Kelmendi +2
We consider the problem of deciding -regular properties on infinite traces produced by linear loops. Here we think of a given loop as producing a single infinite trace that enco…
Reachability in Dynamical Systems with Rounding
Christel Baier, Florian Funke, Simon Jantsch +6
We consider reachability in dynamical systems with discrete linear updates, but with fixed digital precision, i.e., such that values of the system are rounded at each step. Given a…