A Sequent Calculus for First-Order Logic


Title: A Sequent Calculus for First-Order Logic
Author: Asta Halkjær From
Contributors: Alexander Birch Jensen, Anders Schlichtkrull and Jørgen Villadsen
Submission date: 2019-07-18
Abstract: This work formalizes soundness and completeness of a one-sided sequent calculus for first-order logic. The completeness is shown via a translation from a complete semantic tableau calculus, the proof of which is based on the First-Order Logic According to Fitting theory. The calculi and proof techniques are taken from Ben-Ari's Mathematical Logic for Computer Science.
  author  = {Asta Halkjær From},
  title   = {A Sequent Calculus for First-Order Logic},
  journal = {Archive of Formal Proofs},
  month   = jul,
  year    = 2019,
  note    = {\url{https://isa-afp.org/entries/FOL_Seq_Calc1.html},
            Formal proof development},
  ISSN    = {2150-914x},
License: BSD License
Depends on: FOL-Fitting