Abstract
Trakhtenbrot theorem is shown to be valid for the three main fuzzy logics – Łukasiewicz, Gödel and product logic.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Hjek, P.: Metamathematics of fuzzy logic. Kluwer, Dordrecht (1998)
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)
Ebbinghaus, H.D., Flum, J.: Finite model theory. Springer, Heidelberg (1995)
Papadimitriu, C.H.: Computational Complexity. Addison-Wesley, Reading (1994)
Rogers Jr., H.: Theory of recursive functions and effective computability. McGraw- Hill, New York (1987)
Bosc, P., Kacprzyk, J. (eds.): Fuzines in Database Management Systems. Physica Verlag, Wien (1995)
Trakhtenbrot, B.A.: Impossibility of an algorithm for the decision problem on finite classes. Doklady Akademii Nauk SSSR 70, 509-572 (1950) (in Russian)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Hájek, P. (1999). Trakhtenbrot Theorem and Fuzzy Logic. In: Gottlob, G., Grandjean, E., Seyr, K. (eds) Computer Science Logic. CSL 1998. Lecture Notes in Computer Science, vol 1584. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10703163_1
Download citation
DOI: https://doi.org/10.1007/10703163_1
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-65922-8
Online ISBN: 978-3-540-48855-2
eBook Packages: Springer Book Archive