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math.GR2019★ 1 cited
Quasi-automatic semigroups
Benjamin Blanchette, Christian Choffrut, Christophe Reutenauer
A quasi-automatic semigroup is defined by a finite set of generators, a rational (regular) set of representatives, such that if a is a generator or neutral, then the graph of right…
math.GR2005★ 27 cited
Sturmian morphisms, the braid group B_4, Christoffel words and bases of F_2
Christian Kassel, Christophe Reutenauer
We give a presentation by generators and relations of a certain monoid generating a subgroup of index two in the group Aut(F_2) of automorphisms of the rank two free group F_2 and…