A Hilbert triple (𝐶, 𝐷, 𝑓 ) consists of Hilbert algebras 𝐶, 𝐷 and a certain mapping 𝑓 from 𝐶 to the endomorphism monoid of 𝐷. Every modal algebra determines a ...
A modal Hilbert algebra is a Hilbert algebra equipped with a so called modal operator2a unary operation π which can be characterized by the.
Abstract: A modal Hilbert algebra is a Hilbert algebra equipped with a so called modal operator--a unary operation n which can be characterized by the ...
(PDF) Modal Hilbert Algebras and their Triple Representation | Jānis ...
typeset.io › Paper Directory
Modal Hilbert Algebras and their Triple Representation ... About: The article focuses on the topics: Computer science. Show Related Papers ...
PDF | We show that the notions of quasi-decomposition, Glivenko operator and triple construction can be succesfully introduced and applied in the theory.
Oct 23, 2020 · In section 3, we introduce and study the class of modal 3-valued Hilbert algebra with supremum and also, as application of our algebraic work, ...
Dec 17, 2024 · The aim of the present article is to obtain an algebraic characterization of the Hilbert algebras HK(X) for all structures (X, ≤, K) defined by ...
In this paper we generalize to Hilbert algebras the general theory of square-integrable representations of unimodular locally compact groups.
A b s t r a c t. We introduce the variety of Hilbert algebras with a modal operator D, called HD-algebras. The variety of HD-alge-.
Abstract. In this paper, some implicational fragments of trivalent Łukasiewicz logic are studied and the propositional and first-order logic are presented.