mlsanityData to 14 Oct 2026

Teaching Higher-Order Logic Using Isabelle

arXiv 2404.05458 ↗First posted 8 Apr 2024cs.LO cs.AIcited by 0

Not on the map. Why?

Abstract (arXiv)

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.

Key facts. No citing papers in the map yet (data through 14 Oct 2026). Builds on 10 of its 21 references that are in the map. First posted on arXiv 8 Apr 2024.

Builds on

10 of 21 references.

References · 10

  1. 2022SeCaV: A Sequent Calculus Verifier in Isabelle/HOLcited by 4
  2. 2019Natural Deduction Assistant (NaDeA)cited by 3
  3. 2020Isabelle/HOL as a Meta-Language for Teaching Logiccited by 3
  4. 2022Teaching Intuitionistic and Classical Propositional Logic Using Isabellecited by 3
  5. 2017Computational Logic: Its Origins and Applicationscited by 1
  6. 2018Learning how to Prove: From the Coq Proof Assistant to Textbook Stylecited by 1
  7. 2018Natural Deduction and the Isabelle Proof Assistantcited by 1
  8. 2023ANITA: Analytic Tableau Proof Assistantcited by 1
  9. 2023A Proof Tree Builder for Sequent Calculus and Hoare Logiccited by 1
  10. 2023On Exams with the Isabelle Proof Assistantcited by 1

Built on by

Not cited yet.