SeCaV: A Sequent Calculus Verifier in Isabelle/HOL
arXiv:2204.03884 · doi:10.4204/EPTCS.357.4
Abstract
We describe SeCaV, a sequent calculus verifier for first-order logic in Isabelle/HOL, and the SeCaV Unshortener, an online tool that expands succinct derivations into the full SeCaV syntax. We leverage the power of Isabelle/HOL as a proof checker for our SeCaV derivations. The interactive features of Isabelle/HOL make our system transparent. For instance, the user can simply click on a side condition to see its exact definition. Our formalized soundness and completeness proofs pertain exactly to the calculus as exposed to the user and not just to some model of our tool. Users can also write their derivations in the SeCaV Unshortener, which provides a lighter syntax, and expand them for later verification. We have used both tools in our teaching.
arXiv commentIn Proceedings LSFA 2021, arXiv:2204.03415
References in corpus (8)
- Natural Deduction Assistant (NaDeA)
- Isabelle/HOL as a Meta-Language for Teaching Logic
- The Sequent Calculus Trainer with Automated Reasoning - Helping Students to Find Proofs
- Carnap: An Open Framework for Formal Reasoning in the Browser
- Students' Proof Assistant (SPA)
- Teaching a Formalized Logical Calculus
- PML 2 : Integrated Program Verification in ML
- A Mobile Application for Self-Guided Study of Formal Reasoning
Cited by in corpus (6)
- ANITA: Analytic Tableau Proof Assistant
- On Exams with the Isabelle Proof Assistant
- ProofBuddy: A Proof Assistant for Learning and Monitoring
- Minimal Sequent Calculus for Teaching First-Order Logic: Lessons Learned
- Teaching Higher-Order Logic Using Isabelle
- Proceedings 12th International Workshop on Theorem proving components for Educational software