In this paper, we introduce the variety of algebras, which we call monadic kxj-rough Heyting algebras. These algebras constitute an extension of monadic Heyting algebras and in 3x2 case they coincide with monadic 3-valued ...

In this paper we introduce a logic that we name semi Heyting–Brouwer logic, SHB, in such a way that the variety of double semi-Heyting algebras is its algebraic counterpart. We prove that, up to equivalences by translations, ...

k-rough Heyting algebras were introduced by Eric San Juan as an algebraic formalism for reasoning on finite increasing sequences over Boolean algebras in general and on generalizations of rough set concepts in particular. ...

In this paper we investigate those subvarieties of the variety SH of semi-Heyting algebras which are term-equivalent to the variety LH of Gödel algebras (linear Heyting algebras). We prove that the only other subvarieties ...

An algebra A = ⟨A, ∨, ∧, →, 0, 1⟩ is a semi-Heyting algebra if ⟨A, ∨, ∧, 0, 1⟩ is a bounded lattice, and it satisfies the identities: x ∧ (x → y) ≈ x ∧ y, x ∧ (y → z) ≈ x ∧ [(x ∧ y) → (x ∧ z)], and x → x ≈ 1. ℋ denotes the ...

Presentamos ejemplos de álgebras de Heyting, co-Heyting y bi-Heyting y relaciones con las lógicas intuicionista, dual-intuicionista y bi-intuicionista. Estudiamos los operadores modales descritos en Reyes and Zolfaghari, ...

We determine the number of non-isomorphic semi-Heyting algebras on an n-element chain, where n is a positive integer, using a recursive method. We then prove that the numbers obtained agree with those determined in [1]. ...

Generalizing the well known and exploited relation between Heyting and Nelson algebras to semi-Heyting algebras, we introduce the variety of semi-Nelson algebras. The main tool for its study is the construction given by ...