A survey on the arity gap

Miguel Couceiro (1) , Erkko Lehtonen (2) , Tamas Waldhauser (3)

1 ORPAILLEUR - Knowledge representation, reasonning
2 Centro de Algebra da Universidade de Lisboa
3 University of Szeged [Szeged]

The arity gap of a function of several variables is defined as the minimum decrease in the number of essential variables when essential variables of the function are identified. We present a brief survey on the research done on the arity gap, from the first studies of this notion up to recent developments, and discuss some natural extensions and related problems.

Domaines: Mathématiques [math]

Miguel Couceiro, Erkko Lehtonen, Tamas Waldhauser. A survey on the arity gap. Journal of Multiple-Valued Logic and Soft Computing, 2015, 24 (1–4), pp.223-249. ⟨hal-01093666⟩