Consensus Halving is PPA-Complete

Aris Filos-Ratsikas; Paul W. Goldberg

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arXiv · 1711.04503

Consensus Halving is PPA-Complete

Aris Filos-Ratsikas·Paul W. Goldberg

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Abstract

We show that the computational problem CONSENSUS-HALVING is PPA-complete, the first PPA-completeness result for a problem whose definition does not involve an explicit circuit. We also show that an approximate version of this problem is polynomial-time equivalent to NECKLACE SPLITTING, which establishes PPAD-hardness for NECKLACE SPLITTING, and suggests that it is also PPA-complete.

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Aris Filos-Ratsikas, Paul W. Goldberg. 2017-11-13. Consensus Halving is PPA-Complete. https://arxiv.org/abs/1711.04503

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