Interpolation in fuzzy logic |
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| Authors: | Matthias Baaz Helmut Veith |
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| Affiliation: | Institut für Algebra und Computermathematik, Technische Universit?t Wien, Wiedner Hauptstr. 8, A-1040 Wien, Austria (e-mail: baaz@logic.at), AT
Institut für Informationssysteme, Technische Universit?t Wien, Paniglgasse 16, A-1040 Wien, Austria (e-mail: veith@dbai.tuwien.ac.at), AT
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| Abstract: | We investigate interpolation properties of many-valued propositional logics related to continuous t-norms. In case of failure of interpolation, we characterize the minimal interpolating extensions of the languages. For finite-valued logics, we count the number of interpolating extensions by Fibonacci sequences. Received: 10 December 1997 |
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