English

A connection between concurrency and language theory

Logic in Computer Science 2013-04-16 v3 Formal Languages and Automata Theory

Abstract

We show that three fixed point structures equipped with (sequential) composition, a sum operation, and a fixed point operation share the same valid equations. These are the theories of (context-free) languages, (regular) tree languages, and simulation equivalence classes of (regular) synchronization trees (or processes). The results reveal a close relationship between classical language theory and process algebra.

Keywords

Cite

@article{arxiv.1303.0044,
  title  = {A connection between concurrency and language theory},
  author = {Zoltan Esik},
  journal= {arXiv preprint arXiv:1303.0044},
  year   = {2013}
}
R2 v1 2026-06-21T23:34:44.669Z