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On equational definability of function classes

Identifieur interne : 000695 ( Main/Exploration ); précédent : 000694; suivant : 000696

On equational definability of function classes

Auteurs : Miguel Couceiro [France] ; Erkko Lehtonen [Portugal] ; Tamas Waldhauser [Hongrie]

Source :

RBID : Hal:hal-01093668

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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