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cs.FL2025
Languages of Words of Low Automatic Complexity Are Hard to Compute
Joey Chen, Bjørn Kjos-Hanssen, Ivan Koswara +2
The automatic complexity of a finite word (string) is an analogue for finite automata of Sipser's distinguishing complexity (1983) and was introduced by Shallit and Wang (2001). Fo…
math.LO2025
All Borel Group Extensions of Finite-Dimensional Real Space Are Trivial
Linus Richter
For , we study the structure of definable abelian group extensions of the additive group by countable abelian (Borel) groups . Given an extension $H…