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Proof Certificates in PVS

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Interactive Theorem Proving (ITP 2017)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 10499))

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Abstract

The purpose of this work is to allow the proof system PVS to export proof certificates that can be checked externally. This is done through the instrumentation of PVS to record detailed proofs step by step during the proof search process. At the current stage of this work, proofs can be built for any PVS theory. However, some reasoning steps rely on unverified assumptions. For a restricted fragment of PVS, the proofs are exported to the universal proof checker Dedukti, and the unverified assumptions are proved externally using the automated theorem prover MetiTarski.

F. Gilbert—This work has been completed as part of two visits to the National Institute of Aerospace (NIA) and the NASA Langley Research Center under NASA/NIA Research Cooperative Agreement No. NNL09AA00A.

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Correspondence to Frédéric Gilbert .

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Gilbert, F. (2017). Proof Certificates in PVS. In: Ayala-Rincón, M., Muñoz, C.A. (eds) Interactive Theorem Proving. ITP 2017. Lecture Notes in Computer Science(), vol 10499. Springer, Cham. https://doi.org/10.1007/978-3-319-66107-0_17

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  • DOI: https://doi.org/10.1007/978-3-319-66107-0_17

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-66106-3

  • Online ISBN: 978-3-319-66107-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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