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Electronic Colloquium on Computational Complexity

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TR12-164 | 17th November 2012
Rafail Ostrovsky, Ivan Visconti

Simultaneous Resettability from Collision Resistance

In FOCS 2001, Barak, Goldreich, Goldwasser and Lindell conjectured that the existence of ZAPs, introduced by Dwork and Naor in FOCS 2000, could lead to the design of a zero-knowledge proof system that is secure against both resetting provers and resetting verifiers. Their conjecture has been proven true by Deng, ... more >>>


TR12-163 | 24th November 2012
Avishay Tal

Properties and Applications of Boolean Function Composition

For Boolean functions $f:\{0,1\}^n \to \{0,1\}$ and $g:\{0,1\}^m \to \{0,1\}$, the function composition of $f$ and $g$ denoted by $f\circ g : \{0,1\}^{nm} \to \{0,1\}$ is the value of $f$ on $n$ inputs, each of them is the calculation of $g$ on a distinct set of $m$ Boolean variables. Motivated ... more >>>


TR12-162 | 26th October 2012
Hans-Joachim Boeckenhauer, Juraj Hromkovic, Dennis Komm, Sacha Krug, Jasmin Smula, Andreas Sprock

The String Guessing Problem as a Method to Prove Lower Bounds on the Advice Complexity

Revisions: 1

The advice complexity of an online problem describes the additional information both necessary and sufficient for online algorithms to compute solutions of a certain quality. In this model, an oracle inspects the input before it is processed by an online algorithm. Depending on the input string, the oracle prepares an ... more >>>



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