Propositional Proof Systems


Title: Propositional Proof Systems
Authors: Julius Michaelis and Tobias Nipkow
Submission date: 2017-06-21
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.
  author  = {Julius Michaelis and Tobias Nipkow},
  title   = {Propositional Proof Systems},
  journal = {Archive of Formal Proofs},
  month   = jun,
  year    = 2017,
  note    = {\url{},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Status: [ok] This is a development version of this entry. It might change over time and is not stable. Please refer to release versions for citations.