English

Weak Kleene Algebra is Sound and (Possibly) Complete for Simulation

Logic in Computer Science 2009-10-07 v1 Programming Languages

Abstract

We show that the axioms of Weak Kleene Algebra (WKA) are sound and complete for the theory of regular expressions modulo simulation equivalence, assuming their completeness for monodic trees (as conjectured by Takai and Furusawa).

Cite

@article{arxiv.0910.1028,
  title  = {Weak Kleene Algebra is Sound and (Possibly) Complete for Simulation},
  author = {Ernie Cohen},
  journal= {arXiv preprint arXiv:0910.1028},
  year   = {2009}
}

Comments

12 pages, 9 references

R2 v1 2026-06-21T13:54:45.870Z