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propositional proof systems and corresponding bounded arithmetic theories

8 votes
Accepted

Do we currently know a polynomial-size Frege proof for Tseitin formulas?

Section 6 of the following paper has a sketch: Alasdair Urquhart. Hard examples for resolution. Journal of the ACM, 34(1):209–219, 1987. DOI: https://doi.org/10.1145/7531.8928
Emre Yolcu's user avatar
9 votes
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Examples of simulations in proof complexity that are not p-simulations

I am writing a paper on the complexity of some unorthodox proof systems, where I have two systems $P$ and $Q$ such that $P$ simulates $Q$ in the sense of it being possible to translate a $Q$-proof int …
Emre Yolcu's user avatar