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arXiv · 2404.14921

More Church-Rosser Proofs in BELUGA

Alberto Momigliano·Martina Sassella
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Abstract

We report on yet another formalization of the Church-Rosser property in lambda-calculi, carried out with the proof environment Beluga. After the well-known proofs of confluence for beta-reduction in the untyped settings, with and without Takahashi's complete developments method, we concentrate on eta-reduction and obtain the result for beta-eta modularly. We further extend the analysis to typed-calculi, in particular System F. Finally, we investigate the idea of pursuing the encoding directly in Beluga's meta-logic, as well as the use of Beluga's logic programming engine to search for counterexamples.

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Alberto Momigliano, Martina Sassella. 2024-04-23. More Church-Rosser Proofs in BELUGA. https://doi.org/10.4204/eptcs.402.6

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