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Conference paper

Meta-Logical Reasoning in Higher-Order Logic

By Villadsen, Jørgen1,2; Schlichtkrull, Anders1,2; Hess, Andreas Viktor1,3

From

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

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

Language-Based Technology, Department of Applied Mathematics and Computer Science, Technical University of Denmark3

The semantics of first-order logic (FOL) can be described in the meta-language of higher-order logic (HOL). Using HOL one can prove key properties of FOL such as soundness and completeness. Furthermore, one can prove sentences in FOL valid using the formalized FOL semantics. To aid in the construction of the proof an interactive proof assistant like Isabelle can be used.

The proof assistant can even automate simple proofs using the formalized FOL semantics.

Language: English
Year: 2015
Proceedings: LOGICA 2015 - 29th Annual International Symposia Devoted to Logic
Types: Conference paper
ORCIDs: Villadsen, Jørgen , Schlichtkrull, Anders and Hess, Andreas Viktor

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