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» On the Complexity of the Sperner Lemma
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ECCC
1998
105views more  ECCC 1998»
15 years 5 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»
16 years 19 days 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 10 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 10 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 9 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...