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» On the Complexity of the Sperner Lemma
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ECCC
1998
105views more  ECCC 1998»
14 years 9 months ago
Pseudorandom generators without the XOR Lemma
Impagliazzo and Wigderson IW97] have recently shown that if there exists a decision problem solvable in time 2O(n) and having circuit complexity 2 (n) (for all but nitely many n) ...
Madhu Sudan, Luca Trevisan, Salil P. Vadhan
COCO
2009
Springer
155views Algorithms» more  COCO 2009»
15 years 4 months ago
Weak Derandomization of Weak Algorithms: Explicit Versions of Yao's Lemma
—A simple averaging argument shows that given a randomized algorithm A and a function f such that for every input x, Pr[A(x) = f(x)] ≥ 1−ρ (where the probability is over the...
Ronen Shaltiel
ICALP
2001
Springer
15 years 2 months ago
Improved Lower Bounds on the Randomized Complexity of Graph Properties
We prove a lower bound of (n4/3 log1/3 n) on the randomized decision tree complexity of any nontrivial monotone n-vertex graph property, and of any nontrivial monotone bipartite g...
Amit Chakrabarti, Subhash Khot
PODC
2010
ACM
15 years 1 months ago
Verifying linearizability with hindsight
We present a proof of safety and linearizability of a highlyconcurrent optimistic set algorithm. The key step in our proof is the Hindsight Lemma, which allows a thread to infer t...
Peter W. O'Hearn, Noam Rinetzky, Martin T. Vechev,...
STOC
1995
ACM
114views Algorithms» more  STOC 1995»
15 years 1 months ago
On data structures and asymmetric communication complexity
c communication case. This lemma generalizes and abstracts in a very clean form the ``round reduction'' techniques used in many previous lower bound proofs. ] 1998 Academ...
Peter Bro Miltersen, Noam Nisan, Shmuel Safra, Avi...