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#### What we do and why

The Electronic Colloquium on Computational Complexity is a new forum for the rapid and widespread interchange of ideas, techniques, and research in computational complexity. The purpose of this Colloquium is to use electronic media for scientific communication and discussions in the computational complexity community. The Electronic Colloquium on Computational Complexity (ECCC) welcomes papers, short notes and surveys with
• relevance to the theory of computation,
• clear mathematical profile and
• strictly mathematical format.

#### Central topics

• models of computation and their complexity,
• complexity bounds (with the emphasis on lower bounds).
Specific areas including complexity issues are
• combinatorics,
• communication complexity,
• cryptography,
• combinatorial optimization,
• complexity of learning algorithms,
• logic.

Here are some papers on the idea and concept of electronic colloquia and ECCC.
7th April 2014 13:36

#### ECCC Archive DVD 2013

191 reports have been published on ECCC in 2013. The collection of all these reports is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office. Please email < href="mailto:eccc@eccc.hpi-web.de">eccc@eccc.hpi-web.de for ordering.

4th March 2013 09:03

#### ECCC Archive DVD 2012

In 2012 we had a total count of 186 published reports on ECCC. The collection of all the reports from 2012 is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office. Please email to eccc@eccc.hpi-web.de for ordering.

6th March 2012 12:04

#### ECCC Archive DVD 2011

In 2011 we had a total count of 174 published reports on ECCC. The collection of all the reports from 2011 is now available on DVD. You can order the archive (and also the archive DVDs from earlier years) at the local office. Please email to eccc@eccc.hpi-web.de for ordering.

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TR16-072 | 4th May 2016
Anurag Anshu, Aleksandrs Belovs, Shalev Ben-David, Mika G\"o{\"o}s, Rahul Jain, Robin Kothari, Troy Lee, Miklos Santha

#### Separations in communication complexity using cheat sheets and information complexity

While exponential separations are known between quantum and randomized communication complexity for partial functions, e.g. Raz [1999], the best known separation between these measures for a total function is quadratic, witnessed by the disjointness function. We give the first super-quadratic separation between quantum and randomized
communication complexity for a ... more >>>

TR16-071 | 1st May 2016
Jan Krajicek, Igor Carboni Oliveira

#### Unprovability of circuit upper bounds in Cook's theory PV

We establish unconditionally that for every integer $k \geq 1$ there is a language $L \in P$ such that it is consistent with Cook's theory PV that $L \notin SIZE(n^k)$. Our argument is non-constructive and does not provide an explicit description of this language.

more >>>

TR16-070 | 24th April 2016
Mika Göös, Rahul Jain, Thomas Watson

#### Extension Complexity of Independent Set Polytopes

We exhibit an $n$-node graph whose independent set polytope requires extended formulations of size exponential in $\Omega(n/\log n)$. Previously, no explicit examples of $n$-dimensional $0/1$-polytopes were known with extension complexity larger than exponential in $\Theta(\sqrt{n})$. Our construction is inspired by a relatively little-known connection between extended formulations and (monotone) circuit ... more >>>

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