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