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Graded Many-Valued Modal Logic and Its Graded Rough Truth [PDF]

open access: yesAxioms, 2022
Much attention is focused on the relationship between rough sets and many-valued modal logic to deal with approximate reasoning. This paper discusses the graded modal logic and puts forward the graded many-valued modal logic G(S5). Secondly, by employing
Jiansheng Li, Zengtai Gong
doaj   +4 more sources

Many-valued hybrid logic [PDF]

open access: yesJournal of Logic and Computation, 2015
In this paper we define a many-valued semantics for hybrid logic and we give a sound and complete tableau system which is proof theoretically well-behaved, in particular, it gives rise to a decision procedure for the logic. This shows that many-valued hybrid logics is a natural enterprise and opens up the way for future applications.
Jens Ulrik Hansen   +2 more
openaire   +9 more sources

Many-valued logic in manufacturing [PDF]

open access: yesAnnals of computer science and information systems, 2016
Tomasz Dziopa   +2 more
doaj   +2 more sources

Encoding many-valued logic in $\lambda$-calculus [PDF]

open access: yesLogical Methods in Computer Science, 2021
We will extend the well-known Church encoding of Boolean logic into $\lambda$-calculus to an encoding of McCarthy's $3$-valued logic into a suitable infinitary extension of $\lambda$-calculus that identifies all unsolvables by $\bot$, where $\bot$ is a ...
Fer-Jan de Vries
doaj   +1 more source

Finiteness of One-Valued Function Classes in Many-Valued Logic

open access: yesFractal and Fractional, 2023
This paper addresses the theoretical issues in k-valued logic, which are crucial for developing solutions in various fields of science and technology.
Elmira Yu. Kalimulina
doaj   +1 more source

GÖDEL ON MANY-VALUED LOGIC [PDF]

open access: yesThe Review of Symbolic Logic, 2021
AbstractThis paper collects and presents unpublished notes of Kurt Gödel concerning the field of many-valued logic. In order to get a picture as complete as possible, both formal and philosophical notes, transcribed from the Gabelsberger shorthand system, are included.
openaire   +1 more source

ON A NEW APPROACH TO PEIRCE’S THREE-VALUE PROPOSITIONAL LOGIC

open access: yesManuscrito, 2023
In 1909, Peirce recorded in a few pages of his logic notebook some experiments with matrices for three-valued propositional logic. These notes are today recognized as one of the first attempts to create non-classical formal systems.
JOSÉ RENATO SALATIEL
doaj   +1 more source

A Variant of Material Connexive Logic

open access: yesBulletin of the Section of Logic, 2021
The relationship between formal (standard) logic and informal (common-sense, everyday) reasoning has always been a hot topic. In this paper, we propose another possible way to bring it up inspired by connexive logic.
Alexander Belikov, Dmitry Zaitsev
doaj   +1 more source

Paraconsistentization and many-valued logics

open access: yesLogic Journal of the IGPL, 2022
Abstract This paper shows how to transform explosive many-valued systems into paraconsistent logics. We investigate mainly the case of three-valued systems exhibiting how non-explosive three-valued logics can be obtained from them.
Edelcio Gonçalves de Souza   +2 more
openaire   +2 more sources

Chisholm’s modal paradox: two approaches examined

open access: yesPerspectiva Filosófica, 2021
This paper is organized in the following way: the first section puts forward the version of Chisholm’s Modal Paradox that is going to be taken into consideration.
Fernando Fabricio Rodrigues Furtado
doaj   +1 more source

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