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When does one k-automatic set define another?

Logic Seminar
April 2, 2024
1:50PM - 2:45PM
Enarson 318

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Add to Calendar 2024-04-02 13:50:00 2024-04-02 14:45:00 When does one k-automatic set define another?  Title:  When does one k-automatic set define another?Speaker:  Chris Schulz (University of Waterloo)Abstract:  The k-automatic sets are those subsets of N^d whose base-k representations form a regular language. Building on theorems of Büchi and Bès, we aim to characterize the partial preorder among k-automatic sets of definability over (N, +). We give a conjecture—that this preorder contains exactly three equivalence classes—and discuss our progress toward proving this conjecture. This talk is based on joint work with Alexi Block Gorman (OSU) and Jason Bell (Waterloo).URL associated with Seminar:  https://research.math.osu.edu/logicseminar/ Enarson 318 Department of Mathematics math@osu.edu America/New_York public

 Title:  When does one k-automatic set define another?

Speaker:  Chris Schulz (University of Waterloo)

Abstract:  The k-automatic sets are those subsets of N^d whose base-k representations form a regular language. Building on theorems of Büchi and Bès, we aim to characterize the partial preorder among k-automatic sets of definability over (N, +). We give a conjecture—that this preorder contains exactly three equivalence classes—and discuss our progress toward proving this conjecture. This talk is based on joint work with Alexi Block Gorman (OSU) and Jason Bell (Waterloo).

URL associated with Seminar:  https://research.math.osu.edu/logicseminar/

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