Complete generators in 3-valued logic and wrong Wheeler's results


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Authors

  • M. A. Malkov Russian Research Center for Artificial Intelligence, Russia

Keywords:

Multiple-valued logics, Sheffer functions

Abstract

One of central problems of $k$-valued logic is identification and construction of complete generators (Sheffer functions). This problem is solved in 3-valued logic but some important results getting by Wheeler are wrong. We discuss Martin's, Foxley's Wheeler's and Rousseau's results in 3-valued logic. We construct classes of functions with the same ranges and complete generators for these classes in 3-valued logic.

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Published

15-12-2014

How to Cite

M. A. Malkov. (2014). Complete generators in 3-valued logic and wrong Wheeler’s results. International Journal of Mathematics And Its Applications, 2(4), 33–36. Retrieved from https://ijmaa.in/index.php/ijmaa/article/view/316

Issue

Vol. 2 No. 4 (2014)

Section

Research Article

License

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.