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Electronic Colloquium on Computational Complexity

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TR07-066 | 24th April 2007
Maciej Liskiewicz, Christian Hundt

A Combinatorial Geometric Approach to Linear Image Matching

The problem of image matching is to find for two given digital images $A$ and $B$
an admissible transformation that converts image $A$ as close as possible to $B$.
This problem becomes hard if the space of admissible transformations is too complex.
Consequently, in many real applications, like the ones ... more >>>


TR07-065 | 13th July 2007
Jonathan Katz

Which Languages Have 4-Round Zero-Knowledge Proofs?

We show that if a language $L$ has a 4-round, black-box, computational zero-knowledge proof system with negligible soundness error, then $\bar L \in MA$. Assuming the polynomial hierarchy does not collapse, this means, in particular, that $NP$-complete languages do not have 4-round zero-knowledge proofs (at least with respect to black-box ... more >>>


TR07-064 | 19th June 2007
Rahul Jain, Hartmut Klauck, Ashwin Nayak

Direct Product Theorems for Communication Complexity via Subdistribution Bounds

A basic question in complexity theory is whether the computational
resources required for solving k independent instances of the same
problem scale as k times the resources required for one instance.
We investigate this question in various models of classical
communication complexity.

We define a new measure, the subdistribution bound, ... more >>>



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