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Clones of pivotally decomposable functions.

Miguel Couceiro 1 Bruno Teheux 2 
1 ORPAILLEUR - Knowledge representation, reasonning
Inria Nancy - Grand Est, LORIA - NLPKD - Department of Natural Language Processing & Knowledge Discovery
Abstract : This paper is a contribution to the understanding of the relation between pivotal decompositions of operations on a set A and clones on the same set. In this preliminary study we establish sufficient conditions on a pivotal operation Π so that the corresponding class of Π-decomposable functions constitutes a clone, and discuss the normal form representations that such pivotal operations induce. As a bi-product, we establish that clones of Π-decomposable functions are determined by the unary sections of their members. We also outline several open questions, providing directions for further research
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Submitted on : Saturday, July 11, 2015 - 6:08:22 PM
Last modification on : Thursday, August 4, 2022 - 5:18:45 PM


  • HAL Id : hal-01175698, version 1


Miguel Couceiro, Bruno Teheux. Clones of pivotally decomposable functions.. 45th IEEE International Symposium on Multiple-Valued Logic (ISMVL 2015), May 2015, Waterloo, Canada. ⟨hal-01175698⟩



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