44 search results - page 1 / 9 » A New Rank Technique for Formula Size Lower Bounds |
STACS
2007
Springer
13 years 10 months ago
2007
Springer
We exactly determine the formula size of the parity function. If n = 2 + k, where 0 ≤ k < 2 , then the formula size of parity on n bits is 2 (2 + 3k) = n2 + k2 − k2 . Khrap...
STACS
2009
Springer
13 years 11 months ago
2009
Springer
We introduce a new technique proving formula size lower bounds based on the linear programming bound originally introduced by Karchmer, Kushilevitz and Nisan [11] and the theory of...
MFCS
2010
Springer
13 years 3 months ago
2010
Springer
Karchmer, Kushilevitz and Nisan formulated the formula size problem as an integer programming problem called the rectangle bound and introduced a technique called the LP bound, whi...
COCO
2005
Springer
13 years 10 months ago
2005
Springer
We introduce two new complexity measures for Boolean functions, which we name sumPI and maxPI. The quantity sumPI has been emerging through a line of research on quantum query com...
ECCC
2002
13 years 4 months ago
2002
We shall give simpler proofs of some lower bounds on monotone computations. We describe a simple condition on combinatorial structures, such that the rank of the matrix associated...