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Conference paper

Formal Methods Online: Sequent Calculus Verifier (SeCaV)

By From, Asta Halkjær1,2; Jacobsen, Frederik Krogsdal1,2; Villadsen, Jørgen1,2

From

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

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

We present the Sequent Calculus Verifier (SeCaV) and discuss its advantages and disadvantages as a tool for teaching logic, automated reasoning and formal methods. SeCaV is a formalization in the proof assistant Isabelle/HOL of classical first-order logic with constants and functions. The syntax, the semantics and the inductive definition of the sequent calculus proof system along with the soundness and completeness proofs are verified in Isabelle/HOL.

SeCaV is accompanied by the SeCaV Unshortener, which is a browser application for developing sequent calculus proofs that are automatically translated into the corresponding Isabelle-embedded proofs. A compact format for the one-sided sequent calculus is used. The system provides feedback on proof rule applications.

Online help and examples are available. Hundreds of computer science students have used SeCaV for course exercises and exams. Reference: https://secav.compute.dtu.dk/

Language: English
Year: 2022
Proceedings: Formal Methods Education Online: Tips, Tricks & Tools
Types: Conference paper
ORCIDs: From, Asta Halkjær , Jacobsen, Frederik Krogsdal and Villadsen, Jørgen

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