Abstract: 
We formalize a range of proof systems for classical propositional
logic (sequent calculus, natural deduction, Hilbert systems,
resolution) and prove the most important metatheoretic results about
semantics and proofs: compactness, soundness, completeness,
translations between proof systems, cutelimination, interpolation and
model existence. 
BibTeX: 
@article{Propositional_Proof_SystemsAFP,
author = {Julius Michaelis and Tobias Nipkow},
title = {Propositional Proof Systems},
journal = {Archive of Formal Proofs},
month = jun,
year = 2017,
note = {\url{http://isaafp.org/entries/Propositional_Proof_Systems.html},
Formal proof development},
ISSN = {2150914x},
}
