2008/03/31 by Spalek, Robert
#Computational Complexity (cs.CC) #F.1.2 #FOS: Computer and information sciences
paper · doi:10.48550/arxiv.0803.4516
We reprove that the approximate degree of the OR function on n bits is Omega(sqrt(n)). We consider a linear program which is feasible if and only if there is an approximate polynomial for a given function, and apply the duality theory. The duality theory says that the primal program has no solution if and only if its dual has a solution. Therefore one can prove the nonexistence of an approximate polynomial by exhibiting a dual solution, coined the dual polynomial. We construct such a polynomial.