Proofs, Circuits, and Communication
Susanna F. de Rezende, Mika Göös, Robert Robere · arXiv (Cornell University) · 2022
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.