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Trakhtenbrot Theorem and Fuzzy Logic

  • Petr Hájek
Part of the Lecture Notes in Computer Science book series (LNCS, volume 1584)

Abstract

Trakhtenbrot theorem is shown to be valid for the three main fuzzy logics – Łukasiewicz, Gödel and product logic.

Keywords

Fuzzy Logic Turing Machine Recursive Function Atomic Formula Truth Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    Hjek, P.: Metamathematics of fuzzy logic. Kluwer, Dordrecht (1998)Google Scholar
  2. 2.
    Hjek, P.: Fuzzy logic from the logical point of view. In: Bartosek, M., Staudek, J., Wiedermann, J. (eds.) SOFSEM 1995. LNCS, vol. 1012, pp. 31–49. Springer, Heidelberg (1995)Google Scholar
  3. 3.
    Ebbinghaus, H.D., Flum, J.: Finite model theory. Springer, Heidelberg (1995)zbMATHGoogle Scholar
  4. 4.
    Papadimitriu, C.H.: Computational Complexity. Addison-Wesley, Reading (1994)Google Scholar
  5. 5.
    Rogers Jr., H.: Theory of recursive functions and effective computability. McGraw- Hill, New York (1987)Google Scholar
  6. 6.
    Bosc, P., Kacprzyk, J. (eds.): Fuzines in Database Management Systems. Physica Verlag, Wien (1995)Google Scholar
  7. 7.
    Trakhtenbrot, B.A.: Impossibility of an algorithm for the decision problem on finite classes. Doklady Akademii Nauk SSSR 70, 509-572 (1950) (in Russian)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • Petr Hájek
    • 1
  1. 1.Institute of Computer ScienceAcademy of SciencesPragueCzech Republic

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