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20072026
most citedOn Reachability Problems for Low-Dimensional Matrix Semigroups

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

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cs.FL2026

An algebraic characterisation of Eve-positional languages

Thomas Colcombet, Olivier Idir

We present a new algebraic characterisation of Eve-positionality for -regular languages. It involves only a limited number of elementary local properties to be checked. An -r…

cs.FL2026

Expregular functions

Thomas Colcombet, Nathan Lhote, Pierre Ohlmann

Polyregular functions form a robust class of string-to-string functions with polynomial growth, as evidenced by Bojanczyk (2018). This class admits numerous descriptions and enjoys…

cs.FL2023

From Muller to Parity and Rabin Automata: Optimal Transformations Preserving (History) Determinism

Antonio Casares, Thomas Colcombet, Nathanaël Fijalkow +1

We study transformations of automata and games using Muller conditions into equivalent ones using parity or Rabin conditions. We present two transformations, one that turns a deter…

cs.FL2022

On the size of good-for-games Rabin automata and its link with the memory in Muller games

Antonio Casares, Thomas Colcombet, Karoliina Lehtinen

In this paper, we look at good-for-games Rabin automata that recognise a Muller language (a language that is entirely characterised by the set of letters that appear infinitely oft…

cs.FL2020

Learning automata and transducers: a categorical approach

Thomas Colcombet, Daniela Petrişan, Riccardo Stabile

In this paper, we present a categorical approach to learning automata over words, in the sense of the -algorithm of Angluin. This yields a new generic -like algorithm whi…

cs.FL2019

Unambiguous separators for tropical tree automata

Thomas Colcombet, Sylvain Lombardy

In this paper we show that given a max-plus automaton (over trees, and with real weights) computing a function and a min-plus automaton (similar) computing a function such…