Results 21 to 30 of about 12,692 (304)
Paraconsistentization and many-valued logics
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.
de Souza, Edelcio G. +2 more
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NONLINEAR NYBERG CONSTRUCTION TRANSFORMS OVER ISOMORPHIC REPRESENTATIONS OF FIELDS GALOIS
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
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Many-valued hybrid logic [PDF]
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
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Matrix- based logic for avoiding paradoxes and its paraconsistent alternative
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
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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
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An approach for linguistic multi-attribute decision making based on linguistic many-valued logic
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
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The Logic of Self-Organized Criticality
A consideration of non-classical logic in terms of classical one allows us to show a role of designated truth values. In this way we show that our version of non-classical many-valued logic can be based on the structure of genetic code.
Bakhtiyarov Kamil I.
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Many-Valued Logics and Translations
This work presents the concepts of translation and conservative translation between logics. By using algebraic semantics we introduce several conservative translations involving the classical propo...
D'Ottaviano, Ítala M. Loffredo +1 more
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Logical Determinacy versus Logical Contingency. The Case of Łukasiewicz’s Three-valued Logic
In constructing the three-valued logic, Jan Łukasiewicz was highly inspirited by the Aristotelian idea of logical contingency. Nevertheless, we can construct a four-valued logic for explicating the Stoic idea of logical determinacy.
Schumann Andrew
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On Jan Łukasiewicz’s many-valued logic and his criticism of determinism
The article deals with Jan Łukasiewicz’s thesis that the truth or falsity of some propositions about the future—future contingents—entails determinism.
Dariusz Łukasiewicz
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