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Conference paper

A Concise Sequent Calculus for Teaching First-Order Logic

By From, Asta Halkjær1,2; Villadsen, Jørgen1,2

From

Algorithms and Logic, Department of Applied Mathematics and Computer Science, Technical University of Denmark1

Department of Applied Mathematics and Computer Science, Technical University of Denmark2

We have formalized soundness and completeness for a sequent calculus for classical firstorder logic in the proof assistant Isabelle/HOL. We first describe a technique for extending a completeness result for closed formulas to completeness for open formulas as well. This requires some tricky reasoning due to our use of de Bruijn indices.

We then describe a concise sequent calculus for first-order logic and introduce a useful way to write up the sequent calculus derivations in Isabelle/HOL. Our formalization has recently been used in a computer science course on automated reasoning.

Language: English
Year: 2020
Proceedings: Isabelle Workshop 2020<br/>
Types: Conference paper
ORCIDs: From, Asta Halkjær and Villadsen, Jørgen
Keywords

First-Order Logic Isabelle/HOL Sequent Calculus

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