Results 21 to 30 of about 25,501 (266)

‎Gautama and Almost Gautama Algebras and their associated logics [PDF]

open access: yesTransactions on Fuzzy Sets and Systems, 2023
‎Recently‎, ‎Gautama algebras were defined and investigated as a common generalization of the variety $\mathbb{RDBLS}\rm t$ of regular double Stone algebras and the variety $\mathbb{RKLS}\rm t$ of regular Kleene Stone algebras‎, ‎both of which are‎, ‎in ...
Juan M. Cornejo   +1 more
doaj   +1 more source

HH∗−intuitionistic heyting valued Ω-algebra and homomorphism [PDF]

open access: yesJournal of Hyperstructures, 2017
Intuitionistic Logic was introduced by L. E. J. Brouwer in[1] and Heyting algebra was defined by A. Heyting to formalize the Brouwer’s intuitionistic logic[4]. The concept of Heyting algebra has been accepted as the basis for intuitionistic propositional
Sinem Tarsuslu(Yılmaz)   +1 more
doaj   +1 more source

On Neutrosophic Vague Binary BZMZ^dM Sub-algebra of BZMZ^dM-algebra in Neutrosophic Vague Binary Sets [PDF]

open access: yesNeutrosophic Sets and Systems, 2021
In Model theory, common algebraic structures found are Lattices and Boolean Algebras. In the broad field of research, various algebraic structures can be introduced for a set. BCK, BCI, BCH, BH etc. are some of them.
P. B. Remya, A. Francina Shalini
doaj   +1 more source

Chinese Research on Mathematical Logic and the Foundations of Mathematics

open access: yesAsian Studies, 2022
This paper outlines the Chinese research on mathematical logic and the foundations of mathematics. Firstly, it presents the introduction and spread of mathematical logic in China, especially the teaching and translation of mathematical logic initiated ...
Hongguang Wang, Guoping Du
doaj   +1 more source

A Comparison between Lattice-Valued Propositional Logic LP(X) and Gradational Lattice-Valued Propositional Logic Lvpl [PDF]

open access: yesProceedings on Intelligent Systems and Knowledge Engineering (ISKE2007), 2007
In order to provide a logical foundation for uncertain information processing theory, especially for the fuzziness, the incomparability uncertain information in the reasoning, Xu presented the lattice implication algebra by combining lattice and implication algebra in 1993 [1].
Xiqing Long   +3 more
openaire   +1 more source

A Real-Valued Modal Logic [PDF]

open access: yesLogical Methods in Computer Science, 2018
A many-valued modal logic is introduced that combines the usual Kripke frame semantics of the modal logic K with connectives interpreted locally at worlds by lattice and group operations over the real numbers.
Denisa Diaconescu   +2 more
doaj   +1 more source

Skolemization and Herbrand theorems for lattice-valued logics [PDF]

open access: yesTheoretical Computer Science, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cintula, Petr   +2 more
openaire   +3 more sources

Lattice Structure of Some Closed Classes for Three-Valued Logic and Its Applications

open access: yesMathematics, 2021
This paper provides a brief overview of modern applications of nonbinary logic models, where the design of heterogeneous computing systems with small computing units based on three-valued logic produces a mathematically better and more effective solution
Elmira Yu. Kalimulina
doaj   +1 more source

Criterion of Completeness and Submaximal Ultraclones for Linear Hyperfunctions of Rank 2

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2023
In recent years, the direction associated with the study of maps from a finite set A to the set of all subsets of the set A, including the empty one, has been intensively developing. Such mappings are called multifunctions on A, as well as hyperfunctions
I.K. Sharankhaev
doaj   +1 more source

Four-valued expansions of Dunn-Belnap's logic (I): Basic characterizations

open access: yesBulletin of the Section of Logic, 2020
Basic results of the paper are that any four-valued expansion L4 of Dunn-Belnap's logic DB4 is de_ned by a unique (up to isomorphism) conjunctive matrix ℳ4 with exactly two distinguished values over an expansion 𝔄4 of a De Morgan non-Boolean four-valued ...
Alexej P. Pynko
doaj   +1 more source

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