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Electronic Colloquium on Computational Complexity

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

TR21-006 | 18th January 2021
Susanna de Rezende, Jakob Nordström, Marc Vinyals

How Limited Interaction Hinders Real Communication (and What It Means for Proof and Circuit Complexity)

We obtain the first true size-space trade-offs for the cutting planes proof system, where the upper bounds hold for size and total space for derivations with constant-size coefficients, and the lower bounds apply to length and formula space (i.e., number of inequalities in memory) even for derivations with exponentially large ... 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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