Query-to-communication lifting for PNP


We prove that the PNP-type query complexity (alternatively, decision list width) of any boolean function f is quadratically related to the PNP-type communication complexity of a lifted version of f. As an application, we show that a certain "product" lower bound method of Impagliazzo and Williams (CCC 2010) fails to capture PNP communication complexity up to polynomial factors, which answers a question of Papakonstantinou, Scheder, and Song (CCC 2014).

Publication Title

Leibniz International Proceedings in Informatics, LIPIcs