Proofs and certificates

Which statements have short proofs, and how do proof methods compare?

Subjects: Proof complexity

Problems in this collection

3 problems

NP versus coNP

Whenever yes answers have short efficiently checkable certificates, must no answers have them too?

Frege proof lower bounds

Can one exhibit propositional truths whose proofs must be superpolynomially long even in a flexible standard deductive system?

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