We prove that weighted monotone/antimonotone circuit satisfiability has no fixed-parameter tractable approximation algorithm with any approximation ratio function ρ, unless FPT...
The last decade has seen a revival of interest in pebble games in the context of proof complexity. Pebbling has proven to be a useful tool for studying resolution-based proof syst...
—In this paper we show that BPP is truth-table reducible to the set of Kolmogorov random strings RK . It was previously known that PSPACE, and hence BPP is Turingreducible to RK ...
—Raz’s parallel repetition theorem [21] together with improvements of Holenstein [12] shows that for any two-prover one-round game with value at most 1 − (for ≤ 1/2), the v...
Designing algorithms that use logarithmic space for graph reachability problems is fundamental to complexity theory. It is well known that for general directed graphs this problem...
Abstract—We consider two natural extensions of the communication complexity model that are inspired by distributed computing. In both models, two parties are equipped with synchr...
We give a “regularity lemma” for degree-d polynomial threshold functions (PTFs) over the Boolean cube {−1, 1}n . Roughly speaking, this result shows that every degree-d PTF ...
Ilias Diakonikolas, Rocco A. Servedio, Li-Yang Tan...