English

On the Complexity of the Tiden-Arnborg Algorithm for Unification modulo One-Sided Distributivity

Symbolic Computation 2010-12-23 v1 Logic in Computer Science

Abstract

We prove that the Tiden and Arnborg algorithm for equational unification modulo one-sided distributivity is not polynomial time bounded as previously thought. A set of counterexamples is developed that demonstrates that the algorithm goes through exponentially many steps.

Keywords

Cite

@article{arxiv.1012.4894,
  title  = {On the Complexity of the Tiden-Arnborg Algorithm for Unification modulo One-Sided Distributivity},
  author = {Paliath Narendran and Andrew Marshall and Bibhu Mahapatra},
  journal= {arXiv preprint arXiv:1012.4894},
  year   = {2010}
}

Comments

In Proceedings UNIF 2010, arXiv:1012.4554

R2 v1 2026-06-21T17:02:55.970Z