We develop an algebraic language theory based on the notion of an Eilenberg--Moore algebra. In comparison to previous such frameworks the main contribution is the support for algebras with infinitely many sorts and the connection to logic in form of so-called `definable algebras'.

@article{paperbot1324,
  title = {Algebraic Language Theory for Eilenberg--Moore Algebras},
  author = {Achim Blumensath},
  journal = {Logical Methods in Computer Science},
  volume = {Volume 17, Issue 2},
  year = {2021},
  doi = {10.23638/lmcs-17(2:6)2021}
}