activity
20032023
most citedOn the Sets of Real Numbers Recognized by Finite Automata in Multiple Bases

7 citations · 17 across the 8 of their papers we have counts for

collaborators

9 papers

cs.LO2023

First-Order Quantification over Automata

Bernard Boigelot, Pascal Fontaine, Baptiste Vergain

Deciding formulas mixing arithmetic and uninterpreted predicates is of practical interest, notably for applications in verification. Some decision procedures consist in building by…

cs.LO2023

Decidability of Difference Logic over the Reals with Uninterpreted Unary Predicates

Bernard Boigelot, Pascal Fontaine, Baptiste Vergain

First-order logic fragments mixing quantifiers, arithmetic, and uninterpreted predicates are often undecidable, as is, for instance, Presburger arithmetic extended with a single un…

cs.FL2017

An efficient algorithm to decide periodicity of b-recognisable sets using MSDF convention

Bernard Boigelot, Isabelle Mainz, Victor Marsault +1

Given an integer base , a set of integers is represented in base by a language over . The set is said to be -recognisable if its representation is a re…

cs.CG2016★ 2 cited

From Constrained Delaunay Triangulations to Roadmap Graphs with Arbitrary Clearance

Stéphane Lens, Bernard Boigelot

This work studies path planning in two-dimensional space, in the presence of polygonal obstacles. We specifically address the problem of building a roadmap graph, that is, an abstr…

cs.RO2015★ 1 cited

Efficient Path Interpolation and Speed Profile Computation for Nonholonomic Mobile Robots

Stéphane Lens, Bernard Boigelot

This paper studies path synthesis for nonholonomic mobile robots moving in two-dimensional space. We first address the problem of interpolating paths expressed as sequences of stra…

eess.SY2012

Min Max Generalization for Two-stage Deterministic Batch Mode Reinforcement Learning: Relaxation Schemes

Raphael Fonteneau, Damien Ernst, Bernard Boigelot +1

We study the minmax optimization problem introduced in [22] for computing policies for batch mode reinforcement learning in a deterministic setting. First, we show that this proble…