Abstract: |
We formalize a range of proof systems for classical propositional
logic (sequent calculus, natural deduction, Hilbert systems,
resolution) and prove the most important meta-theoretic results about
semantics and proofs: compactness, soundness, completeness,
translations between proof systems, cut-elimination, interpolation and
model existence. |
BibTeX: |
@article{Propositional_Proof_Systems-AFP,
author = {Julius Michaelis and Tobias Nipkow},
title = {Propositional Proof Systems},
journal = {Archive of Formal Proofs},
month = jun,
year = 2017,
note = {\url{https://isa-afp.org/entries/Propositional_Proof_Systems.html},
Formal proof development},
ISSN = {2150-914x},
}
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