21st Annual IEEE Conference on Computational Complexity (CCC'06)
Circuit Lower Bounds via Ehrenfeucht-Fraisse Games
Prague, Czech Republic
July 16-July 20
ISBN: 0-7695-2596-2
In this paper we prove that the class of functions expressible by first order formulas with only two variables coincides with the class of functions computable byAC0 circuits with a linear number of gates. We then investigate the feasibility of using Ehrenfeucht-Fraisse games to prove lower bounds for that class of circuits, as well as for general AC^0 circuits.
Citation:
Michal Koucky, Clemens Lautemann, Sebastian Poloczek, Denis Therien, "Circuit Lower Bounds via Ehrenfeucht-Fraisse Games," ccc, pp.190-201, 21st Annual IEEE Conference on Computational Complexity (CCC'06), 2006