Minimal Partial Hyperclones on a Two-Element Set

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34th International Symposium on Multiple-Valued Logic (ISMVL'04)

University of Toronto, Toronto, Canada

May 19-May 22

ISBN: 0-7695-2130-4

	ASCII Text	x
	Jovanka Pantović, Gradimir Vojvodić, "Minimal Partial Hyperclones on a Two-Element Set," Multiple-Valued Logic, IEEE International Symposium on, pp. 115-119, 34th International Symposium on Multiple-Valued Logic (ISMVL'04), 2004.

	BibTex	x
	@article{ 10.1109/ISMVL.2004.1319929, author = {Jovanka Pantović and Gradimir Vojvodić}, title = {Minimal Partial Hyperclones on a Two-Element Set}, journal ={Multiple-Valued Logic, IEEE International Symposium on}, volume = {0}, year = {2004}, issn = {0195-623X}, pages = {115-119}, doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2004.1319929}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }

	RefWorks Procite/RefMan/Endnote	x
	TY - CONF JO - Multiple-Valued Logic, IEEE International Symposium on TI - Minimal Partial Hyperclones on a Two-Element Set SN - 0195-623X SP115 EP119 A1 - Jovanka Pantović, A1 - Gradimir Vojvodić, PY - 2004 KW - null VL - 0 JA - Multiple-Valued Logic, IEEE International Symposium on ER -

Jovanka Pantović, University of Novi Sad

Gradimir Vojvodić, University of Novi Sad

DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/ISMVL.2004.1319929

Let A be a two-element set. It has been proven by Machida that the lattice of hyperclones has continuum cardinality. The current paper first determines all the minimal partial hyperclones. Following this, the authors give all three-element subsets of minimal hyperoperations whose union generates the clone of all hyperoperations as well as all four minimal subsets of minimal partial hyperoperations whose union generates the clone of all partial hyperoperations.

Citation:

Jovanka Pantović, Gradimir Vojvodić, "Minimal Partial Hyperclones on a Two-Element Set," ismvl, pp.115-119, 34th International Symposium on Multiple-Valued Logic (ISMVL'04), 2004

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