Abstract
We construct a class of Łukasiewicz formulae whose associated McNaughton functions constitute a family of Schauder hats having special properties. Our technique is inspired by the well-known algorithm of Brun [3,4,2] for simultaneous diopanthine approximations. As a first application of Brun hats we construct normal forms for co-atomic Łukasiewicz logics. We also show how to combine Brun hats to obtain normal forms for all finite-valued Łukasiewicz logics.
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© 2005 Springer-Verlag Berlin Heidelberg
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Aguzzoli, S., D’Antona, O.M., Marra, V. (2005). Brun Normal Forms for Co-atomic Łukasiewicz Logics. In: Godo, L. (eds) Symbolic and Quantitative Approaches to Reasoning with Uncertainty. ECSQARU 2005. Lecture Notes in Computer Science(), vol 3571. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11518655_55
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DOI: https://doi.org/10.1007/11518655_55
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