English

Hereditarily Structurally Complete Superintuitionistic Logics and Primitive Varieties of Heyting Algebras

Logic 2025-12-08 v1

Abstract

We give an algebraic proof of the criterion for hereditary structural completeness of an intermediate logic, or, equivalently, of the primitiveness of a variety of Heyting algebras.

Keywords

Cite

@article{arxiv.2512.05633,
  title  = {Hereditarily Structurally Complete Superintuitionistic Logics and Primitive Varieties of Heyting Algebras},
  author = {Alex Citkin},
  journal= {arXiv preprint arXiv:2512.05633},
  year   = {2025}
}