Results 11 to 20 of about 705,934 (125)

Revisiting the Adequacy Theorem for Fragments of Łukasiewicz Logic

open access: yesBulletin of the Section of Logic
A. V. Figallo introduced the 3-valued Super Łukasiewicz logic expanded with the Δ operator, denoted as C3↣,Δ, in 1990. This operator is used in the definition of 3-valued Łukasiewicz algebras, and it is not possible to recover Δ through implication and ...
Miguel Pérez-Gaspar   +2 more
doaj   +2 more sources

Reconstruction of the Stagirite argument against the fatalism of future events

open access: yesМультиверсум: Философский альманах, 2020
The question of free will and determinism is one of the most discussed in analytic philosophy. This is because interdisciplinary research has entered the field of studying the brain and consciousness – and often, consciousness is presented as an ...
Ruslan Myronenko
doaj   +1 more source

The Infinite-Valued Łukasiewicz Logic and Probability [PDF]

open access: yes, 2017
The paper concerns the algebraic structure of the set of cumulative distribution functions as well as the relationship between the resulting algebra and the infinite-valued Łukasiewicz algebra.
Janusz Czelakowski, Czelakowski, Janusz
core   +2 more sources

Many-Valued Logic and Zadeh’s Fuzzy Sets: A Stone Representation Theorem for Interval-Valued Łukasiewicz–Moisil Algebras

open access: yesJournal of Intelligent Systems, 2016
The aim of this article is to develop a representation theory of interval-valued Łukasiewicz–Moisil algebras; the concept of interval fuzzy sets involves the role that the notion of field of sets plays for the representation of Boolean algebras.
Amroune Abdelaziz   +2 more
doaj   +1 more source

Strong Tolerance and Strong Universality of Interval Eigenvectors in a Max-Łukasiewicz Algebra

open access: yesMathematics, 2020
The Łukasiewicz conjunction (sometimes also considered to be a logic of absolute comparison), which is used in multivalued logic and in fuzzy set theory, is one of the most important t-norms.
Martin Gavalec   +2 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

States in Łukasiewicz logic correspond to probabilities of rational polyhedra [PDF]

open access: yes, 2012
It will be shown that probabilities of infinite-valued events represented by formulas in Łukasiewicz propositional logic are in one-to-one correspondence with tight probability measures over rational polyhedra in the unit hypercube.
Tomáš Kroupa, Kroupa, Tomáš
core   +1 more source

On Metric Temporal Łukasiewicz Logic [PDF]

open access: yes, 2009
In this paper we present a logical framework to cope with temporal reasoning under vagueness. The calculus is obtained by extending that of bounded metric temporal logic over a dense time domain, by truth-values from the rational unit interval [0,1]∩Q ...
Flaminio, Tommaso, Tiezzi, Elisa B.P.
core   +1 more source

Finiteness in infinite-valued Łukasiewicz logic

open access: yes, 2000
In this paper we deepen Mundici's analysis on reducibility of the decision problem from infinite-valued Łukasiewicz logic L∞ to a suitable m-valued Łukasiewicz logic Lm, where m only depends on the length of the formulas to be proved.
Stefano Aguzzoli, Agata Ciabattoni
core   +1 more source

Classical and Fuzzy Two-Layered Modal Logics for Uncertainty: Translations and Proof-Theory

open access: yesInternational Journal of Computational Intelligence Systems, 2020
This paper is a contribution to the study of two distinct kinds of logics for modelling uncertainty. Both approaches use logics with a two-layered modal syntax, but while one employs classical logic on both levels and infinitely-many multimodal operators,
Paolo Baldi   +2 more
doaj   +1 more source

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