[PDF][PDF] Modal operators on pseudo-BE algebras

LC Ciungu, A Borumand Saeid, A Rezaei - Iranian Journal of Fuzzy …, 2020 - ijfs.usb.ac.ir
In this paper, we define and study the modal operators on pseudo-BE algebras as special
cases of closure operators on these structures. We prove that the composition of two modal …

An alternative definition of tense operators on residuated lattices

I Calomino, G Pelaitay… - Journal of Logic and …, 2024 - academic.oup.com
In this paper, we introduce and study an alternative definition of tense operators on
residuated lattices. We give a categorical equivalence for the class of tense ICRDL …

An algebraic study of tense operators on Nelson algebras

AV Figallo, G Pelaitay, J Sarmiento - Studia Logica, 2021 - Springer
Ewald considered tense operators G, H, F and P on intuitionistic propositional calculus and
constructed an intuitionistic tense logic system called IKt. In 2014, Figallo and Pelaitay …

A categorical equivalence for tense Nelson algebras

AV Figallo, J Sermento, G Pelaitay - Studia Logica, 2022 - Springer
In this paper we present a category equivalent to that of tense Nelson algebras. The objects
in this new category are pairs consisting of an IKt-algebra and a Boolean IKt-congruence …

Tense distributive lattices: algebra, logic and topology

AV Figallo, J Sarmiento, M Figallo - arXiv preprint arXiv:2309.04771, 2023 - arxiv.org
Tense logic was introduced by Arthur Prior in the late 1950s as a result of his interest in the
relationship between tense and modality. Prior's idea was to add four primitive modal-like …

Tense operators on frameable equality algebras

S Ghorbani - Soft Computing, 2022 - Springer
In this paper, we introduce the frameable equality algebras and use the concept of tense
operators on them to define tense equality algebras. We investigate some algebraic …

A categorical equivalence for tense pseudocomplemented distributive lattice

GA Pelaitay, M Staronbisky - 2024 - ri.conicet.gov.ar
In this paper, we introduce the concept of tense operators on pseudocomplemented
distributive lattices. Specifically, we utilize the Kalman construction to establish a categorical …

[PDF][PDF] Strong tensor non-commutative residuated lattices

H Liu - IAENG Int J Appl Math, 2018 - iaeng.org
In this paper, we study the properties of tensor operators on non-commutative residuated
lattices. We give some equivalent conditions of (strict) strong tensor non-commutative …

[PDF][PDF] A Categorial Equivalence for Tense Nelson Algebras

G Pelaitay - researchgate.net
In this paper we present a category equivalent to that of tense Nelson algebras. The objects
in this new category are pairs consisting of an IKt-algebra and a Boolean IKt-congruence …

[PDF][PDF] An algebraic study of tense operators on Nelson algebras

J Sarmiento - researchgate.net
Ewald considered tense operators G, H, F and P on intuitionistic propositional calculus and
constructed an intuitionistic tense logic system called IKt. In 2014, Figallo and Pelaitay …