A constructive proof of McNaughton's theorem in infinite-valued logic

Journal of Symbolic Logic 59 (2):596-602 (1994)
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 topology
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DOI 10.2307/2275410
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Stefano Aguzzoli & Simone Bova (2010). The Free N-Generated BL-Algebra. Annals of Pure and Applied Logic 161 (9):1144-1170.
Antonio Di Nola & Brunella Gerla (2001). A Discrete Free MV-Algebra Over One Generator. Journal of Applied Non-Classical Logics 11 (3-4):331-339.

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