Computer Science > Logic in Computer Science
[Submitted on 23 Apr 2024]
Title:More Church-Rosser Proofs in BELUGA
View PDF HTML (experimental)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.
Submission history
From: EPTCS [view email] [via EPTCS proxy][v1] Tue, 23 Apr 2024 11:09:45 UTC (23 KB)
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