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A constructive proof of McNaughton's theorem in infinite-valued logic
Journal of Symbolic Logic 59 (2):596-602 (1994)
Abstract
We give a constructive proof of McNaughton's theorem stating that every piecewise linear function with integral coefficients is representable by some sentence in the infinite-valued calculus of Lukasiewicz. For the proof we only use Minkowski's convex body theorem and the rudiments of piecewise linear topologyLinks
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Citations of this work
Averaging the truth-value in łukasiewicz logic.Daniele Mundici - 1995 - Studia Logica 55 (1):113 - 127.
Three characterizations of strict coherence on infinite-valued events.Tommaso Flaminio - 2020 - Review of Symbolic Logic 13 (3):593-610.
Finitely generated free MV-algebras and their automorphism groups.Antonio Di Nola, Revaz Grigolia & Giovanni Panti - 1998 - Studia Logica 61 (1):65-78.
The free n -generated BL-algebra.Stefano Aguzzoli & Simone Bova - 2010 - Annals of Pure and Applied Logic 161 (9):1144-1170.
Varieties of MV-algebras.Giovanni Panti - 1999 - Journal of Applied Non-Classical Logics 9 (1):141-157.
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