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Electronic Colloquium on Computational Complexity

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TR13-108 | 9th August 2013
Rahul Santhanam, Ryan Williams

New Algorithms for QBF Satisfiability and Implications for Circuit Complexity

Revisions: 1

We revisit the complexity of the satisfiability problem for quantified Boolean formulas. We show that satisfiability
of quantified CNFs of size $\poly(n)$ on $n$ variables with $O(1)$
quantifier blocks can be solved in time $2^{n-n^{\Omega(1)}}$ by zero-error
randomized algorithms. This is the first known improvement over brute force search in ... more >>>


TR13-107 | 7th August 2013
Gil Cohen, Ivan Bjerre Damgard, Yuval Ishai, Jonas Kolker, Peter Bro Miltersen, Ran Raz, Ron Rothblum

Efficient Multiparty Protocols via Log-Depth Threshold Formulae

We put forward a new approach for the design of efficient multiparty protocols:

1. Design a protocol for a small number of parties (say, 3 or 4) which achieves
security against a single corrupted party. Such protocols are typically easy
to construct as they may employ techniques that do not ... more >>>


TR13-106 | 29th July 2013
Shay Moran, Amir Yehudayoff

A note on average-case sorting

Revisions: 2

This note studies the average-case comparison-complexity of sorting n elements when there is a known distribution on inputs and the goal is to minimize
the expected number of comparisons. We generalize Fredman's algorithm which
is a variant of insertion sort and provide a basically tight upper bound: If \mu is
more >>>



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