On equational definability of function classes
Identifieur interne : 000695 ( Main/Exploration ); précédent : 000694; suivant : 000696On equational definability of function classes
Auteurs : Miguel Couceiro [France] ; Erkko Lehtonen [Portugal] ; Tamas Waldhauser [Hongrie]Source :
- Journal of Multiple-Valued Logic and Soft Computing [ 1542-3980 ] ; 2015.
Abstract
We propose a notion of functional equation for functions of a fixed arity, which is based on a pair of clones. We present necessary conditions for aclass of functions to be definable by such equations, and show that for certain choices of clones these conditions are also sufficient.
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