The category of MSO transductions
Logic in Computer Science
2023-05-30 v1
Abstract
MSO transductions are binary relations between structures which are defined using monadic second-order logic. MSO transductions form a category, since they are closed under composition. We show that many notions from language theory, such as recognizability or tree decompositions, can be defined in an abstract way that only refers to MSO transductions and their compositions.
Keywords
Cite
@article{arxiv.2305.18039,
title = {The category of MSO transductions},
author = {Mikołaj Bojańczyk},
journal= {arXiv preprint arXiv:2305.18039},
year = {2023}
}