Christopher Hawthorne

most citedContributions to the theory of

F

-automatic sets

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.LO2020★ 2 cited

Contributions to the theory of $F$ -automatic sets

Christopher Hawthorne

Fix an abelian group $Γ$ and an injective endomorphism $F : Γ \to Γ$ . Improving on the results of Bell and Moosa, new characterizations are here obtained for the existence of s…

math.LO2020★ 2 cited

Automata and tame expansions of $(Z, +)$

Christopher D. C. Hawthorne

The problem of characterizing which automatic sets of integers are stable is here solved. Given a positive integer $d$ and a subset $A \subseteq Z$ whose set of representat…

math.LO2018

Remarks on recognizable subsets and local rank

Christopher D. C. Hawthorne

Given a monoid $(M, ε, \cdot)$ it is shown that a subset $A \subseteq M$ is recognizable in the sense of automata theory if and only if the $φ$ -rank of $x = x$ is zero in the…

Contributions to the theory of F-automatic sets

Automata and tame expansions of (Z,+)

Remarks on recognizable subsets and local rank

Contributions to the theory of $F$ -automatic sets

Automata and tame expansions of $(Z, +)$