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Many-Valued Modal Logic [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science
We combine the concepts of modal logics and many-valued logics in a general and comprehensive way. Namely, given any finite linearly ordered set of truth values and any set of propositional connectives defined by truth tables, we define the many-valued minimal normal modal logic, presented as a Gentzen-like sequent calculus, and prove its soundness and
Karniel, Amir, Kaminski, Michael
openaire   +3 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.
Hansen, Jens Ulrik   +2 more
openaire   +3 more sources

PROBABILISTIC VARIANTS OF RENYI-ULAM ´ GAME AND MANY-VALUED LOGIC

open access: greenTASK Quarterly, 2005
In this paper we discuss some generalizations of R´enyi-Ulam game with lies: some of them are simply probabilistic variants of it, some others differ from it by the presence of more than one number to guess.
CLAUDIO MARINI, FRANCO MONTAGNA
doaj   +1 more source

A Many-valued Logic for Lexicographic Preference Representation

open access: yesInternational Conference on Principles of Knowledge Representation and Reasoning, 2021
We introduce lexicographic logic, an extension of propositional logic that can represent a variety of preferences, most notably lexicographic ones. The proposed logic supports a simple new connective whose semantics can be defined in terms of finite ...
A. Charalambidis   +3 more
semanticscholar   +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

Graded Many-Valued Modal Logic and Its Graded Rough Truth

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   +1 more source

Classical Logic with n Truth Values as a Symmetric Many-Valued Logic

open access: yesFoundations of Science, 2020
We introduce Boolean-like algebras of dimension n ( $$n{\mathrm {BA}}$$ n BA s) having n constants $${{{\mathsf {e}}}}_1,\ldots ,{{{\mathsf {e}}}}_n$$ e 1 , … , e n , and an $$(n+1)$$ ( n + 1 ) -ary operation q (a “generalised if-then-else”) that induces
A. Salibra   +3 more
semanticscholar   +1 more source

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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