English

Case Study: Verified Vampire Proofs in the LambdaPi-calculus Modulo

Logic in Computer Science 2025-09-18 v2

Abstract

The Vampire automated theorem prover is extended to output machine-checkable proofs in the Dedukti concrete syntax for the LambdaPi-calculus modulo. This significantly reduces the trusted computing base, and in principle eases proof reconstruction in other proof-checking systems. Existing theory is adapted to deal with Vampire's internal logic and inference system. Implementation experience is reported, encouraging adoption of verified proofs in other automated systems.

Keywords

Cite

@article{arxiv.2503.15541,
  title  = {Case Study: Verified Vampire Proofs in the LambdaPi-calculus Modulo},
  author = {Anja Petković Komel and Michael Rawson and Martin Suda},
  journal= {arXiv preprint arXiv:2503.15541},
  year   = {2025}
}

Comments

10 pages main text, 5 pages references and appendix

R2 v1 2026-06-28T22:27:21.117Z