Teaching Higher-Order Logic Using Isabelle

We present a formalization of higher-order logic in the Isabelle proof assistant, building directly on the foundational framework Isabelle/Pure and developed to be as small and readable as possible. It should therefore serve as a good introduction for someone looking into learning about higher-order...

Full description

Saved in:
Bibliographic Details
Published inarXiv.org
Main Authors Simon Tobias Lund, Villadsen, Jørgen
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 08.04.2024
Subjects
Axioms
Computer Science - Artificial Intelligence
Computer Science - Logic in Computer Science
Logic
Online AccessGet full text
ISSN2331-8422
DOI10.48550/arxiv.2404.05458

Cover

More Information
Summary:We present a formalization of higher-order logic in the Isabelle proof assistant, building directly on the foundational framework Isabelle/Pure and developed to be as small and readable as possible. It should therefore serve as a good introduction for someone looking into learning about higher-order logic and proof assistants, without having to study the much more complex Isabelle/HOL with heavier automation. To showcase our development and approach we explain a sample proof, describe the axioms and rules of our higher-order logic, and discuss our experience with teaching the subject in a classroom setting.
Bibliography:SourceType-Working Papers-1
ObjectType-Working Paper/Pre-Print-1
content type line 50
ISSN:2331-8422
DOI:10.48550/arxiv.2404.05458