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A machine independent characterisation of the rational string-to-string functions

Speaker(s)
Mikołaj Bojańczyk
Affiliation
University of Warsaw
Language of the talk
English
Date
June 10, 2026, 2:15 p.m.
Room
room 5440
Title in Polish
A machine independent characterisation of the rational string-to-string functions
Seminar
Seminar Automata Theory

This is a not-my-theorem talk. The subject is the rational string-to-string functions, which are those that can be computed by unambiguous automata with output. I will present a Myhill-Nerode style characterisation of these functions, which is due to Reutenauer and Schützenberger. The theorem is non-trivial, and one of the main difficulties is that there is no canonical device.