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Nondeterministic Circuit Lower Bounds from Mildly De-randomizing Arthur-Merlin Games

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/11685654_12openalex-snapshot
On Promise Problems: A Survey
inferredcites →https://doi.org/10.1007/978-3-030-43662-9_4openalex-snapshot
Two Comments on Targeted Canonical Derandomizers
inferredcites →https://doi.org/10.1007/978-3-540-85238-4_18openalex-snapshot
Arthur and Merlin as Oracles
inferredcites →https://doi.org/10.1007/978-3-642-22670-0_20openalex-snapshot
In a World of P=BPP
inferredcites →https://doi.org/10.1007/bf01275486openalex-snapshot
BPP has subexponential time simulations unlessEXPTIME has publishable proofs
inferredcites →https://doi.org/10.1007/s00037-003-0178-7openalex-snapshot
Uniform hardness versus randomness tradeoffs for Arthur-Merlin games
inferredcites →https://doi.org/10.1007/s00037-004-0182-6openalex-snapshot
Derandomizing Polynomial Identity Tests Means Proving Circuit Lower Bounds
inferredcites →https://doi.org/10.1007/s00037-007-0218-9openalex-snapshot
Pseudorandomness for Approximate Counting and Sampling
inferredcites →https://doi.org/10.1007/s00037-011-0010-8openalex-snapshot
Derandomizing Arthur-Merlin Games and Approximate Counting Implies Exponential-Size Lower Bounds
inferredcites →https://doi.org/10.1007/s00037-011-0019-zopenalex-snapshot
Pseudorandom Generators, Typically-Correct Derandomization, and Circuit Lower Bounds
inferredcites →https://doi.org/10.1016/0022-0000(88)90028-1openalex-snapshot
Arthur-Merlin games: A randomized proof system, and a hierarchy of complexity classes
inferredcites →https://doi.org/10.1016/0022-0000(89)90020-2openalex-snapshot
Probabilistic complexity classes and lowness
inferredcites →https://doi.org/10.1016/0304-3975(83)90020-8openalex-snapshot
Some consequences of non-uniform conditions on uniform classes
inferredcites →https://doi.org/10.1016/j.ic.2005.01.002openalex-snapshot
Competing provers yield improved Karp–Lipton collapse results
inferredcites →https://doi.org/10.1016/s0019-9958(82)90382-5openalex-snapshot
Circuit-size lower bounds and non-reducibility to sparse sets
inferredcites →https://doi.org/10.1016/s0022-0000(02)00024-7openalex-snapshot
In search of an easy witness: exponential time vs. probabilistic polynomial time
inferredcites →https://doi.org/10.1016/s0022-0000(05)80043-1openalex-snapshot
Hardness vs randomness
inferredcites →https://doi.org/10.1017/cbo9780511804090openalex-snapshot
Computational Complexity
inferredcites →https://doi.org/10.1109/ccc.2003.1214408openalex-snapshot
Uniform hardness vs. randomness tradeoffs for Arthur-Merlin games
inferredcites →https://doi.org/10.1137/s0097539700389652openalex-snapshot
Graph Nonisomorphism Has Subexponential Size Proofs Unless the Polynomial-Time Hierarchy Collapses
inferredcites →https://doi.org/10.1145/12130.12137openalex-snapshot
Private coins versus public coins in interactive proof systems
inferredcites →https://doi.org/10.1145/146585.146605openalex-snapshot
Algebraic methods for interactive proof systems
inferredcites →https://doi.org/10.1145/146585.146609openalex-snapshot
IP = PSPACE
inferredcites →https://doi.org/10.1145/258533.258590openalex-snapshot
P = BPP if E requires exponential circuits
inferredcites →https://doi.org/10.4086/toc.2011.v007a012openalex-snapshot
inferredcites →https://doi.org/10.4230/lipics.stacs.2008.1342openalex-snapshot
Finding Irrefutable Certificates for S_2^p via Arthur and Merlin
inferredcites →https://doi.org/10.5169/seals-52237openalex-snapshot
TURING MACHINES THAT TAKE ADVICE

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

inferred← citeshttps://doi.org/10.1007/s00037-014-0095-yopenalex-snapshot
Nondeterministic circuit lower bounds from mildly derandomizing Arthur-Merlin games
inferred← citeshttps://doi.org/10.1137/17m1145707openalex-snapshot
Targeted Pseudorandom Generators, Simulation Advice Generators, and Derandomizing Logspace
inferred← citeshttps://doi.org/10.1145/2488608.2488612openalex-snapshot
Natural proofs versus derandomization
inferred← citeshttps://doi.org/10.1145/3055399.3055414openalex-snapshot
Targeted pseudorandom generators, simulation advice generators, and derandomizing logspace
inferred← citeshttps://doi.org/10.1515/9780823295708-025openalex-snapshot
CHAPTER NOTES AND REFERENCES
inferred← citeshttps://doi.org/10.1515/9783110203738.455openalex-snapshot
Chapter 8 Notes and References
inferred← citeshttps://doi.org/10.4230/lipics.approx-random.2015.645openalex-snapshot
Tighter Connections between Derandomization and Circuit Lower Bounds
inferred← citeshttps://doi.org/10.4230/lipics.ccc.2016.10openalex-snapshot
Learning Algorithms from Natural Proofs
inferred← citeshttps://doi.org/10.48550/arxiv.1212.1891openalex-snapshot
Natural Proofs Versus Derandomization
inferred← citeshttps://doi.org/10.48550/arxiv.1701.04428openalex-snapshot
Some Results on Circuit Lower Bounds and Derandomization of Arthur-Merlin Problems
inferred← citeshttps://doi.org/10.5040/9780755625963.0007openalex-snapshot
Chapter Notes and References
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