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Electronic Colloquium on Computational Complexity

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All reports by Author Gaurav Sood:

TR22-080 | 25th May 2022
Meena Mahajan, Gaurav Sood

QBF Merge Resolution is powerful but unnatural

The Merge Resolution proof system (M-Res) for QBFs, proposed by Beyersdorff et al. in 2019, explicitly builds partial strategies inside refutations. The original motivation for this approach was to overcome the limitations encountered in long-distance Q-Resolution proof system (LD-Q-Res), where the syntactic side-conditions, while prohibiting all unsound resolutions, also end ... more >>>

TR20-188 | 12th December 2020
Olaf Beyersdorff, Joshua Blinkhorn, Meena Mahajan, Tomáš Peitl, Gaurav Sood

Hard QBFs for Merge Resolution

We prove the first proof size lower bounds for the proof system Merge Resolution (MRes [Olaf Beyersdorff et al., 2020]), a refutational proof system for prenex quantified Boolean formulas (QBF) with a CNF matrix. Unlike most QBF resolution systems in the literature, proofs in MRes consist of resolution steps together ... more >>>

TR20-082 | 23rd May 2020
Yuval Filmus, Meena Mahajan, Gaurav Sood, Marc Vinyals

MaxSAT Resolution and Subcube Sums

Revisions: 1

We study the MaxRes rule in the context of certifying unsatisfiability. We show that it can be exponentially more powerful than tree-like resolution, and when augmented with weakening (the system MaxResW), p-simulates tree-like resolution. In devising a lower bound technique specific to MaxRes (and not merely inheriting lower bounds from ... more >>>

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