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cs.FL2020★ 3 cited
Languages recognised by finite semigroups, and their generalisations to objects such as trees and graphs, with an emphasis on definability in monadic second-order logic
Mikołaj Bojańczyk
These are lecture notes on the algebraic approach to regular languages. The classical algebraic approach is for finite words; it uses semigroups instead of automata. However, the a…
cs.FL2020
Extensions of -Regular Languages
Mikołaj Bojańczyk, Edon Kelmendi, Rafał Stefański +1
We consider extensions of monadic second order logic over -words, which are obtained by adding one language that is not -regular. We show that if the added language has a…
cs.FL2020
First-order tree-to-tree functions
Mikołaj Bojańczyk, Amina Doumane
We study tree-to-tree transformations that can be defined in first-order logic or monadic second-order logic. We prove a decomposition theorem, which shows that every transformatio…