Guest column-Reference-Cited by-同舟云学术

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Guest column

Published:2011-10-14 Issue:3 Volume:42 Page:54-76
ISSN:0163-5700
Container-title:ACM SIGACT News
language:en
Short-container-title:SIGACT News

Author:

Williams Ryan¹

Affiliation:

1. Stanford University, Stanford, CA

Abstract

I will discuss the recent proof that the complexity class NEXP (nondeterministic exponential time) lacks nonuniform ACC circuits of polynomial size. The proof will be described from the perspective of someone trying to discover it.

Publisher

Association for Computing Machinery (ACM)

Link

https://dl.acm.org/doi/pdf/10.1145/2034575.2034591

Reference44 articles.

1. Circuit complexity before the dawn of the new millennium. In Foundations of Software Technology and Theoretical Computer Science;Allender E.;Springer LNCS,1996

2. A Uniform Circuit Lower Bound for the Permanent

3. ∑11-Formulae on finite structures

4. Non-deterministic exponential time has two-prover interactive protocols

5. Bounded-width polynomial-size branching programs recognize exactly those languages in NC1

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1. A #SAT Algorithm for Small Constant-Depth Circuits with PTF gates;Algorithmica;2022-01-07

2. Deterministic APSP, Orthogonal Vectors, and More;ACM Transactions on Algorithms;2021-01-31

3. Average-Case Rigidity Lower Bounds;Computer Science – Theory and Applications;2021

4. Local reduction;Information and Computation;2018-08

5. Some ways of thinking algorithmically about impossibility;ACM SIGLOG News;2017-07-28

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