Title
Finding Efficient Circuits Using SAT-Solvers
Abstract
In this paper we report preliminary results of experiments with finding efficient circuits (over binary bases) using SAT-solvers. We present upper bounds for functions with constant number of inputs as well as general upper bounds that were found automatically. We focus mainly on MOD-functions. Besides theoretical interest, these functions are also interesting from a practical point of view as they are the core of the residue number system. In particular, we present a circuit of size 3n + c over the full binary basis computing ${\rm MOD}_3^n$.
Year
DOI
Venue
2009
10.1007/978-3-642-02777-2_5
SAT
Keywords
Field
DocType
efficient circuit,finding efficient,full binary basis computing,binary base,rm mod,general upper bound,constant number,preliminary result,practical point,residue number system,upper bound,sat solver
Boolean function,Discrete mathematics,Mod,Combinatorics,Circuit complexity,Computer science,Truth table,Residue number system,Electronic circuit,Binary number
Conference
Volume
ISSN
Citations 
5584
0302-9743
12
PageRank 
References 
Authors
0.84
12
3
Name
Order
Citations
PageRank
Arist Kojevnikov11027.43
Alexander S. Kulikov228025.63
Grigory Yaroslavtsev320917.36