Łukasiewicz–Moisil algebra

id: ukasiewicz-moisil-algebra-234-14583894
title: Łukasiewicz–Moisil algebra
text: Łukasiewicz–Moisil algebras were introduced in the 1940s by Grigore Moisil in the hope of giving algebraic semantics for the n-valued Łukasiewicz logic. However, in 1956 Alan Rose discovered that for n ≥ 5, the Łukasiewicz–Moisil algebra does not model the Łukasiewicz logic. A faithful model for the ℵ0-valued (infinitely-many-valued) Łukasiewicz–Tarski logic was provided by C. C. Chang's MV-algebra, introduced in 1958. For the axiomatically more complicated (finite) n-valued Łukasiewicz logics,
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original url: https://en.wikipedia.org/wiki/%C5%81ukasiewicz%E2%80%93Moisil_algebra
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date modified: 2024-04-14T07:02:32Z
main entity: {"identifier":"Q18385859","url":"https://www.wikidata.org/entity/Q18385859"}
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