A Sequent Calculus for First-Order Logic

Asta Halkjær From 🌐 with contributions from Alexander Birch Jensen 🌐, Anders Schlichtkrull 🌐 and Jørgen Villadsen 🌐

July 18, 2019

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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. Paper: http://ceur-ws.org/Vol-3002/paper7.pdf.
BSD License

Topics

Theories of FOL_Seq_Calc1