All reports by Author Marc Vinyals:

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TR23-052
| 19th April 2023
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Noah Fleming, Vijay Ganesh, Antonina Kolokolova, Chunxiao Li, Marc Vinyals#### Limits of CDCL Learning via Merge Resolution

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TR18-206
| 3rd December 2018
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Arkadev Chattopadhyay, Shachar Lovett, Marc Vinyals#### Equality Alone Does Not Simulate Randomness

Revisions: 1

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TR14-081
| 13th June 2014
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Yuval Filmus, Massimo Lauria, Mladen Mikša, Jakob Nordström, Marc Vinyals#### From Small Space to Small Width in Resolution

Noah Fleming, Vijay Ganesh, Antonina Kolokolova, Chunxiao Li, Marc Vinyals

In their seminal work, Atserias et al. and independently Pipatsrisawat and Darwiche in 2009 showed that CDCL solvers can simulate resolution proofs with polynomial overhead. However, previous work does not address the tightness of the simulation, i.e., the question of how large this overhead needs to be. In this paper, ... more >>>

Arkadev Chattopadhyay, Shachar Lovett, Marc Vinyals

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 >>>

Yuval Filmus, Massimo Lauria, Mladen Mikša, Jakob Nordström, Marc Vinyals

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 >>>