[PDF] Top 20 On Circuit Lower Bounds from Derandomization
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On Circuit Lower Bounds from Derandomization
... result from [3] that NEXP ⊆ P/poly ⇒ NEXP = MA, which itself involves the use of multi-prover interactive proofs for EXP (through the result that EXP ⊆ P/poly ⇒ EXP = MA [1]), worst-case to average-case reductions ... See full document
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Certifying Polynomials for $\mathrm{AC}^0[\oplus]$ Circuits, with Applications to Lower Bounds and Circuit Compression
... our lower bound is an analogous structure theorem for AC 0 ...[⊕] circuit C of near-linear size, there is a polynomial of degree o(n) such that C restricts to a constant on the support ...the circuit ... See full document
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Separation of Multilinear Circuit and Formula Size
... Super-polynomial lower bounds for the size of multilinear formulas were recently proved ...these bounds don’t give any separation between multilinear circuit and formula ... See full document
15
On the Communication Complexity of Secure Computation
... about lower bounds on the amount of com- munication required by a secure multi-party computation protocol, with a few notable exceptions ...munication lower bounds (even with restrictions on ... See full document
18
Feasible Interpolation for QBF Resolution Calculi
... show lower bounds for proof systems is of paramount importance in proof ...size from width bounds, game characteri- sations ...transfers circuit lower bounds to size of ... See full document
20
Monotone Projection Lower Bounds from Extended Formulation Lower Bounds
... Acknowledgment. We would like to thank Stasys Jukna for the question that motivated this paper [12], and cstheory.stackexchange.com for providing a forum for the question. We also thank Stasys for comments on a draft, ... See full document
15
Matrix Rigidity and the Croot-Lev-Pach Lemma
... complexity lower bounds for realistic models of ...super-linear circuit lower bounds (in any realistic model) for logarithmic depth ... See full document
7
Lower Bounds for Differentially Private RAMs
... ORAM lower bound by Goldreich and Ostrovsky [16] considered offline ORAMs with “balls-and-bins” encoding and security against an all-powerful ...ORAM lower bound for non-restricted encodings is equivalent ... See full document
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Competing-Provers Protocols for Circuit Evaluation
... Boolean circuit of size s and depth d then for any r ≥ 1 there is an r-round protocol for f , in this model, with communication complexity d 1/r poly ...proving circuit lower ...strong circuit ... See full document
25
Lower bounds: from circuits to QBF proof systems
... generate from a Boolean function f have a special syntactic form, ...strong lower bounds are known for Frege systems in these logics as well (Hrubeˇs, 2009; Jeˇr´ abek, ... See full document
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Lower Bounds for Data Structures with Space Close to Maximum Imply Circuit Lower Bounds
... briefly lower bounds for dynamic data ...known lower bounds are Ω(log ...strong lower bound for such “half-dynamic” data structures would imply a lower bound for static data ... See full document
9
Sharp lower bounds involving circuit layout system
... a circuit layout problem as ...apart from each other, are proposed to be erected on the boundary of , and straight under- ground pipes are planned to connect these poles (see Figure ... See full document
22
Conspiracies between learning algorithms, circuit lower bounds, and pseudorandomness
... of lower bounds would follow using such an ...yield lower bounds for bounded-error probabilistic exponential time, just as non-trivial satisfiability algorithms yield lower ... See full document
49
Memory Lower Bounds of Reductions Revisited
... Memory lower bound of restricted ...ory lower bound of reductions from multi-challenge unforgeability (mUF) to stan- dard unforgeability (UF) for ...sequentially from be- ginning to end, and ... See full document
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Genuine Lower Bounds for QBF Expansion
... [14]. Lower bounds on resolution proof size therefore correspond to best-case running time for CDCL ...proof-size lower bounds, and, in particular, general techniques for proof- size ... See full document
15
Lower Bounds in the Hardware Token Model
... answer from the tokens done by the receiver to obtain the output of the ...directly from the correctness of the ...follows from the fact that the answer obtained from the tokens can be ... See full document
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Lower Bounds and Aggregation in Density Estimation
... Remark 1 The construction of the family of densities f δ : δ ∈ N D/8 is in the same spirit as the lower bound of Tsybakov (2003), Rigollet and Tsybakov (2004). But, as compared to Rigollet and Tsybakov (2004), we ... See full document
11
A Note on Perfect Correctness by Derandomization
... For cryptographic algorithms, the picture is somewhat more subtle. Indeed, in cryptography, randomness is almost always necessary to guarantee any sense of security. While many crypto- graphic schemes are perfectly ... See full document
15
Lower bounds on blowing up solutions of the three dimensional Navier Stokes equations in $\dot H^{3/2}$, $\dot H^{5/2}$, and $\dot B^{5/2} {2,1}$
... blowup results follows easily from upper bounds on the nonlinear term. We postpone a detailed presentation of the estimates and proofs of these bounds until section 5. In this section we assume those ... See full document
15
Distribution testing lower bounds via reductions from communication complexity
... samples from p, or specify two distinct indices i, j ∈ Ω and get a sample from p conditioned on membership in S = {i, ...proving lower bounds in this setting a challenging task; and indeed the ... See full document
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