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Rahul Santhanam

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titleconferencedate
A Commentary on the Collision of WorldsLower Bounds, Learning, and Average-Case Complexity2023-02-13
A précis of the concrete claims: Allender’s 2001 survey promotes a variant K^T (capital T) that relates tightly to circuit complexity and to MCSP via a…
Talk on
Excluding PH PessilandITCS 20222022-01-31
Proves unconditionally that PH Pessiland excluded by showing PH-average hardness is equivalent to existence of a PH-confutable pseudorandom generator (PH-PRG)…
Talk
Errorless versus Error-prone Average-Case ComplexityITCS 20222022-01-31
Paper proves reductions between error-prone heuristics and errorless average-case algorithms by building on non-adaptive average BPP/poly instant checker…
Talk
A Survey on MCSPBoolean Devices 20182018-09-10
Defines MCSP and variants (decision, search, optimization, approximate) and frames the core open: is MCSP NP‑hard or in P. Shows the explicit construction…
Talk on
Improved Deterministic Algorithms for Sparse Max-SATSatisfiability Lower Bounds and Tight Results for Parameterized and Exponential-Time Algorithms2015-11-06
Deterministic algorithms give explicit savings for sparse Max-SAT: savings Ω(n/c) (polynomial space) and savings n/√c (exponential space) for formulas with m =…
Talk on
QBF Satisfiability Algorithms and Connections with Circuit Lower BoundsConnections Between Algorithm Design and Complexity Theory2015-09-28
Gives a concrete algorithmic tradeoff: for QBF with k quantifier blocks over CNFs or small formulas the procedure achieves savings Ω(n^{1/(k+1)}) by splitting…
Talk
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