Joey Lakerdas-Gayle

activity

20222026

collaborators

3 papers

math.LO2026

Weakly uniform computable categoricity and function composition

Joey Lakerdas-Gayle

We introduce the definition of a weakly $X$ -uniformly $Y$ -computably categorical structure, relativizing a definition of Kudinov (1996), and show that this relativized notion is cl…

math.LO2025

Isomorphism Spectra and Computably Composite Structures

Joey Lakerdas-Gayle

Adapting a result of Bazhenov, Kalimullin, and Yamaleev, we show that if a Turing degree $d$ is the degree of categoricity of a computable structure $M$ and is n…

math.CO2022

The lexicographically least square-free word with a given prefix

Siddharth Berera, Andrés Gómez-Colunga, Joey Lakerdas-Gayle +6

The lexicographically least square-free infinite word on the alphabet of non-negative integers with a given prefix $p$ is denoted $L (p)$ . When $p$ is the empty word, this word was…