Counting weak Heyting algebras on finite distributive lattices
Majid Alizadeh, N. Joharizadeh · Logic Journal of IGPL · 2014
Weak Heyting algebras (Celani and Jansana, 2005, Math. Log. Quart., 51, 219–246) encompass subvarieties of the variety of Heyting algebras and subvarieties of the variety of modal algebras, modulo an appropriate translation. In this article, we present an algorithm to construct and count all non-isomorphic weak Heyting algebras, weak Heyting algebras that are Visser algebras and Löb algebras on a given finite distributive lattice.