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Electronic Colloquium on Computational Complexity

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REPORTS > AUTHORS > MARC VINYALS:
All reports by Author Marc Vinyals:

TR18-206 | 3rd December 2018
Arkadev Chattopadhyay, Shachar Lovett, Marc Vinyals

Equality Alone Does Not Simulate Randomness

The canonical problem that gives an exponential separation between deterministic and randomized communication complexity in the classical two-party communication model is `Equality'. In this work, we show that even allowing access to an `Equality' oracle, deterministic protocols remain exponentially weaker than randomized ones. More precisely, we exhibit a total function ... more >>>


TR14-081 | 13th June 2014
Yuval Filmus, Massimo Lauria, Mladen Mikša, Jakob Nordström, Marc Vinyals

From Small Space to Small Width in Resolution

In 2003, Atserias and Dalmau resolved a major open question about the resolution proof system by establishing that the space complexity of CNF formulas is always an upper bound on the width needed to refute them. Their proof is beautiful but somewhat mysterious in that it relies heavily on tools ... more >>>




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