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Electronic Colloquium on Computational Complexity

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TR17-142 | 21st September 2017
Johan Hastad

On small-depth Frege proofs for Tseitin for grids

We prove that a small-depth Frege refutation of the Tseitin contradiction
on the grid requires subexponential size.
We conclude that polynomial size Frege refutations
of the Tseitin contradiction must use formulas of almost
logarithmic depth.

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TR17-141 | 19th September 2017
Joshua Brakensiek, Venkatesan Guruswami

A Family of Dictatorship Tests with Perfect Completeness for 2-to-2 Label Cover

We give a family of dictatorship tests with perfect completeness and low-soundness for 2-to-2 constraints. The associated 2-to-2 conjecture has been the basis of some previous inapproximability results with perfect completeness. However, evidence towards the conjecture in the form of integrality gaps even against weak semidefinite programs has been elusive. ... more >>>

TR17-140 | 11th September 2017
Tong Qin, Osamu Watanabe

An improvement of the algorithm of Hertli for the unique 3SAT problem

We propose a simple idea for improving the randomized algorithm of Hertli for the Unique 3SAT problem.

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