Partial Clones Determined by Concatenated Relations

University of Calgary, Canada May 19-May 21

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http://doi.ieeecomputersociety.org/10.1109/ISMVL.2005.36

35th International Symposium on Multi ...

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	ASCII Text	x
	L. Haddad, I. G. Rosenberg, "Partial Clones Determined by Concatenated Relations," Multiple-Valued Logic, IEEE International Symposium on, pp. 101-106, 35th International Symposium on Multiple-Valued Logic (ISMVL'05), 2005.

	BibTex	x
	@article{ 10.1109/ISMVL.2005.36, author = {L. Haddad and I. G. Rosenberg}, title = {Partial Clones Determined by Concatenated Relations}, journal ={Multiple-Valued Logic, IEEE International Symposium on}, volume = {0}, year = {2005}, issn = {0195-623X}, pages = {101-106}, doi = {http://doi.ieeecomputersociety.org/10.1109/ISMVL.2005.36}, 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 - Partial Clones Determined by Concatenated Relations SN - 0195-623X SP101 EP106 A1 - L. Haddad, A1 - I. G. Rosenberg, PY - 2005 KW - null VL - 0 JA - Multiple-Valued Logic, IEEE International Symposium on ER -

L. Haddad, Coll?ge militaire royal du Canada, Canada

I. G. Rosenberg, Universit? de Montr?al, Canada

Let k ≥ 2, k be a k-element set, p₁ and p₂ two relations on k and let p₁ ⊗ p₂ be the concatenation of p₁ and p₂. We study the link between the partial clones opPol p₁ ∩ pPol p₂ and pPol (p₁ ⊗ p₂). Using results arising from this study we address the following problem: Given two maximal partial clones M₁ and M₂ over k, under what conditions is the partial clone M₁ ∩ M₂ covered by M₁ or by M₂?

Citation:

L. Haddad, I. G. Rosenberg, "Partial Clones Determined by Concatenated Relations," ismvl, pp.101-106, 35th International Symposium on Multiple-Valued Logic (ISMVL'05), 2005

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