Results 11 to 20 of about 1,033,736 (302)

Two deductions systems for the Logic PM4N

open access: yesIntermaths, 2022
The logic PM4N was introduced by Jean-Yves Beziau as a modal and 4-valued system. In this introductory paper, the author presented the system from a matrix logic with four values disposed in a Boolean algebra with a modal operator for the notion of ...
Hércules de Araújo Feitosa   +2 more
doaj   +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

Normalisation for Some Quite Interesting Many-Valued Logics

open access: yesLogic and Logical Philosophy, 2021
In this paper, we consider a set of quite interesting threeand four-valued logics and prove normalisation theorem for their natural deduction formulations.
Nils Kürbis, Y. Petrukhin
semanticscholar   +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

Fractional-Valued Modal Logic and Soft Bilateralism

open access: yesBulletin of the Section of Logic, 2023
In a recent paper, under the auspices of an unorthodox variety of bilateralism, we introduced a new kind of proof-theoretic semantics for the base modal logic \(\mathbf{K}\), whose values lie in the closed interval \([0,1]\) of rational numbers [14].
Mario Piazza   +2 more
doaj   +1 more source

Characteristic Logics for Behavioural Hemimetrics via Fuzzy Lax Extensions [PDF]

open access: yesLogical Methods in Computer Science, 2022
In systems involving quantitative data, such as probabilistic, fuzzy, or metric systems, behavioural distances provide a more fine-grained comparison of states than two-valued notions of behavioural equivalence or behaviour inclusion.
Paul Wild, Lutz Schröder
doaj   +1 more source

MODULAR MANY-VALUED SEMANTICS FOR COMBINED LOGICS [PDF]

open access: yesJournal of Symbolic Logic (JSL), 2022
We obtain, for the first time, a modular many-valued semantics for combined logics, which is built directly from many-valued semantics for the logics being combined, by means of suitable universal operations over partial non-deterministic logical ...
C. Caleiro, Sérgio Marcelino
semanticscholar   +1 more source

A note on entropy of logic [PDF]

open access: yesYugoslav Journal of Operations Research, 2017
We propose an entropy based classification of propositional calculi. Our method can be applied to finite–valued propositional logics and then, extended asymptotically to infinite–valued logics.
Boričić Marija
doaj   +1 more source

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