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Many-valued coalgebraic logic over semi-primal varieties [PDF]

open access: yesLogical Methods in Computer Science
We study many-valued coalgebraic logics with semi-primal algebras of truth-degrees. We provide a systematic way to lift endofunctors defined on the variety of Boolean algebras to endofunctors on the variety generated by a semi-primal algebra.
Alexander Kurz   +2 more
doaj   +1 more source

Tableau method of proof for Peirce’s three-valued propositional logic

open access: yesFilosofia Unisinos, 2022
Peirce’s triadic logic has been under discussion since its discovery in the 1960s by Fisch and Turquette. The experiments with matrices of three-valued logic are recorded in a few pages of unpublished manuscripts dated 1909, a decade before similar ...
José Renato Salatiel
doaj   +1 more source

Many-Valued Logic in the Jewish Short Stories

open access: yesStudia Humana, 2015
Jewish short stories (parables, tales, jokes, etc.) are explained from the viewpoint of many-valued logic. On the basis of some examples, we show, how their contents may be logically interpreted.
Levin Vitaly I.
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AbstractThis paper collects and presents unpublished notes of Kurt Gödel concerning the field of many-valued logic.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

Truth Values in t-norm based Systems Many-valued FUZZY Logic [PDF]

open access: yes, 2014
In t-norm based systems many-valued logic, valuations of propositions form a non-countable set: interval [0,1]. In addition, we are given a set E of truth values p, subject to certain conditions, the valuation v is v=V(p), V reciprocal application of E ...
Nescolarde-Selva, Josué Antonio   +2 more
core   +2 more sources

NONLINEAR NYBERG CONSTRUCTION TRANSFORMS OVER ISOMORPHIC REPRESENTATIONS OF FIELDS GALOIS

open access: yesСистемный анализ и прикладная информатика, 2017
Further development of cryptographic algorithms based on the principles of many-valued logic requires more accurate research of non-binary cryptographic primitives – S-boxes.
A. V. Sokolov, O. N. Zhdanov
doaj   +1 more source

Proof Theory of Finite-valued Logics [PDF]

open access: yes, 1993
The proof theory of many-valued systems has not been investigated to an extent comparable to the work done on axiomatizatbility of many-valued logics. Proof theory requires appropriate formalisms, such as sequent calculus, natural deduction, and tableaux
Zach, Richard
core   +5 more sources

Matrix- based logic for avoiding paradoxes and its paraconsistent alternative

open access: yesManuscrito, 2011
The present article shows that there are consistent and decidable many- valued systems of propositional logic which satisfy two or all the three criteria for non- trivial inconsistent theories by da Costa (1974).
Paul Weingartner
doaj   +1 more source

Equality Logic

open access: yesBulletin of the Section of Logic, 2020
In this paper, we introduce and study a corresponding logic to equality-algebras and obtain some basic properties of this logic. We prove the soundness and completeness of this logic based on equality-algebras and local deduction theorem.
Shokoofeh Ghorbani
doaj   +1 more source

An approach for linguistic multi-attribute decision making based on linguistic many-valued logic

open access: yesIJAIN (International Journal of Advances in Intelligent Informatics), 2022
There are various types of multi-attribute decision-making (MADM) problems in our daily lives and decision-making problems under uncertain environments with vague and imprecise information involved.
Anh Phuong Le   +3 more
doaj   +1 more source

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