Abstract
In completeness theories of multiple-valued logic, the characterization of Sheffer functions is an important problem, and the solution can be reduced to determining the minimal coverings of precomplete categories. It’fs well known that each precomplete set is a function set, T(G m ), preserving the relation G m , therefore, the categorizing of this relation has provided the determination of precomplete set’s minimal covering with more convenient ways. In this paper, simply separable relations in partial four-valued logic are categorized by similar relation.
This work is supported by the National and Hunan Province Natural Science Foundation of China ( 60083001,60375021, 60433020, 03JJY3099).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Sheffer, H.M.: A Set of Five Independent Postulates for Boolean Algebras with Application to Logical Constants. Trans. Am. Math. Soc. 14, 481–488 (1913)
Liu, R.: The Minimal Covering of Precomplete Sets in Partial Three-Valued Logic. Natur. Sci. J. Xiangtan Univ. 13(2), 158–165 (1991) MR92g:03035 03B50
Liu, R.: Some Results on the Decision for Sheffer Functions in Partial K-Valued Logic. Multiple Valued Logic-An International Journal 1, 253–269 (1996)
Liu, R.: Some Results on the Decision for Sheffer Functions in Partial K-Valued Logic. In: Proceedings of the 28th International Symposium on Multiple-Valued Logic (II), pp. 77–81 (1998)
Liu, R.: Research on the Similarity among Precomplete Sets Preserving m-ary Relations in Partial K-Valued Logic. In: Proceedings of the 29th International Symposium on Multiple-Valued Logic, pp. 77–81 (1999)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Liu, R., Gong, Z., Xu, F. (2005). On the Categorizing of Simply Separable Relations in Partial Four-Valued Logic . In: Wang, L., Chen, K., Ong, Y.S. (eds) Advances in Natural Computation. ICNC 2005. Lecture Notes in Computer Science, vol 3612. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11539902_159
Download citation
DOI: https://doi.org/10.1007/11539902_159
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-28320-1
Online ISBN: 978-3-540-31863-7
eBook Packages: Computer ScienceComputer Science (R0)