Title :
A Survey on the Arity Gap
Author :
Couceiro, Miguel ; Lehtonen, Erkko ; Waldhauser, Tamás
Author_Institution :
Fac. of Sci., Technol. & Commun., Univ. of Luxembourg, Luxemburg City, Luxembourg
Abstract :
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.
Keywords :
Boolean functions; set theory; arity gap; essential variables; Boolean functions; Cloning; Lattices; Polynomials; System-on-a-chip; Upper bound;
Conference_Titel :
Multiple-Valued Logic (ISMVL), 2011 41st IEEE International Symposium on
Conference_Location :
Tuusula
Print_ISBN :
978-1-4577-0112-2
Electronic_ISBN :
0195-623X
DOI :
10.1109/ISMVL.2011.20