论文标题

证明,电路和沟通

Proofs, Circuits, and Communication

论文作者

de Rezende, Susanna F., Göös, Mika, Robere, Robert

论文摘要

我们调查了较低的结果,结果是通过命题证明复杂性,布尔电路复杂性和查询/通信复杂性之间的新发现的互连获得的复杂性理论。我们倡导总搜索问题理论(TFNP)作为这些联系的统一语言,并讨论了这种观点如何提出整个进一步研究的计划。

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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