Proofs, Circuits, and Communication

Susanna F. de Rezende; Mika Göös; Robert Robere

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arXiv · 2202.08909

Proofs, Circuits, and Communication

Susanna F. de Rezende·Mika Göös·Robert Robere

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Abstract

We survey lower-bound results in complexity theory that have been obtained via newfound interconnections between propositional proof complexity, boolean circuit complexity, and query/communication complexity. We advocate for the theory of total search problems (TFNP) as a unifying language for these connections and discuss how this perspective suggests a whole programme for further research.

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Susanna F. de Rezende, Mika Göös, Robert Robere. 2022-02-17. Proofs, Circuits, and Communication. https://arxiv.org/abs/2202.08909

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