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An Axiomatization of Quantified Propositional Gödel Logic Using the Takeuti-Titani Rule

Published online by Cambridge University Press:  31 March 2017

Matthias Baaz
Affiliation:
Technische Universität
Helmut Veith
Affiliation:
Technische Universität
Samuel R. Buss
Affiliation:
University of California, San Diego
Petr Hájek
Affiliation:
Academy of Sciences of the Czech Republic, Prague
Pavel Pudlák
Affiliation:
Academy of Sciences of the Czech Republic, Prague
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Logic Colloquium '98 , pp. 91 - 104
Publisher: Cambridge University Press
Print publication year: 2000

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References

1. Baaz, M.: Infinite-Valued Gödel Logics with 0-1-Projections and Relativizations. In Proceedings of Gödel 96-Kurt Gödel's Legacy, LNL 6, Springer Verlag, pp.23-33.
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10. Hájek, P.: Metamathematics of Fuzzy Logic. Kluwer, 1998.
11. Horn, A.: Logic with truth values in a linearly ordered Heyting algebra. J. Symbolic Logic, 27(1962), 159-170.Google Scholar
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13. Maksimova, L.: Craig's interpolation theorem and amalgamable varieties. Doklady Akademii Nauk SSSR, 237/6, 1281-1284, 1977.Google Scholar
14. Takano, M.: Another proof of the strong completeness of the intuitionistic fuzzy logic. Tsukuba J. Math. 11(1984), 851-866.Google Scholar
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16. Takeuti, G., Titani, T.: Intutionistic fuzzy logic and intutionistic fuzzy set theory. J.Symbolic Logic, 49(1984), 851-866.Google Scholar

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