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The Logic of Quasi True

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Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 338))

Abstract

We introduce a new logic CL, which is an extension of the infinitely valued Łukasiewicz logic \(\L \), the language of which enriched by 0-ary connective \(\mathbf c \) that is interpreted as quasi false, the algebraic counterpart of which are algebras from a quasi variety of the variety generated by the perfect MV-algebras.

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Reference

  1. Chang, C.C.: Algebraic analysis of many-valued logics. Trans. Am. Math. Soc. 88, 467–490 (1958)

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Correspondence to Antonio Di Nola .

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© 2016 Springer International Publishing Switzerland

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Di Nola, A., Grigolia, R., Turunen, E. (2016). The Logic of Quasi True. In: Fuzzy Logic of Quasi-Truth: An Algebraic Treatment. Studies in Fuzziness and Soft Computing, vol 338. Springer, Cham. https://doi.org/10.1007/978-3-319-30406-9_10

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  • DOI: https://doi.org/10.1007/978-3-319-30406-9_10

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-30404-5

  • Online ISBN: 978-3-319-30406-9

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