English

The fork and its role in unification of closure algebras

Logic in Computer Science 2025-12-31 v6 Rings and Algebras

Abstract

We consider the two-pronged fork frame FF and the variety Eq(BF)\mathbf{Eq}(B_F) generated by its dual closure algebra BFB_F. We describe the finite projective algebras in Eq(BF)\mathbf{Eq}(B_F) and give a purely semantic proof that unification in Eq(BF)\mathbf{Eq}(B_F) is finitary and not unitary.

Keywords

Cite

@article{arxiv.2309.16824,
  title  = {The fork and its role in unification of closure algebras},
  author = {Ivo Düntsch and Wojciech Dzik},
  journal= {arXiv preprint arXiv:2309.16824},
  year   = {2025}
}