Title :
On the complexity of the monotonicity verification
Author :
Voronenko, Andrei A.
Author_Institution :
Dept. of Comput. Math. & Cybern., Moscow State Univ., Russia
Abstract :
We present a sequence {Sn} of circuits of functional elements that check the monotonicity of input discrete functions depending on n variables and represented as value column vectors. The complexity of circuits equals O(N√log log N). This is the lowest asymptotical current complexity
Keywords :
computational complexity; polynomials; asymptotical current complexity; complexity; functional elements; input discrete functions; monotonicity verification; value column vectors; Boolean functions; Cloning; Control systems; Decoding; Logic circuits; Organizations; Polynomials; Testing;
Conference_Titel :
Computational Complexity, 2000. Proceedings. 15th Annual IEEE Conference on
Conference_Location :
Florence
Print_ISBN :
0-7695-0674-7
DOI :
10.1109/CCC.2000.856754