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https://doi.org/10.29007/ftc2...
Article . 2018 . Peer-reviewed
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A Shallow Embedding of Resolution and Superposition Proofs into the $\lambda\Pi$-Calculus Modulo

Authors: Burel, Guillaume;

A Shallow Embedding of Resolution and Superposition Proofs into the $\lambda\Pi$-Calculus Modulo

Abstract

The λΠ-calculus modulo is a proof language that has been proposed as a proof standardfor (re-)checking and interoperability. Resolution and superposition are proof-search methods that are used in state-of-the-art first-order automated theorem provers. We provide a shallow embedding of resolution and superposition proofs in the λΠ-calculus modulo, thus offering a way to check these proofs in a trusted setting, and to combine them with other proofs. We implement this embedding as a backend of the prover iProver Modulo.

Country
France
Keywords

[INFO.INFO-LO] Computer Science [cs]/Logic in Computer Science [cs.LO], automatic theorem provers, interoperability, [INFO] Computer Science [cs], étalons de théorème automatique, rewriting, [INFO.INFO-PL] Computer Science [cs]/Programming Languages [cs.PL], proof checking, vérification de la preuve, interopérabilité, réécriture

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    3
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
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    influence
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
Green
bronze