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A Note on Logical PERs and Reducibility. Logical Relations Strike Again! Gallier, Jean Typed lambda-calculus reducibility logical relations per’s strong normalization Church-Rosser property We prove a general theorem for establishing properties expressed by binary relations on typed (first-order) λ-terms, using a variant of the reducibility method and logical PERs. As an application, we prove simultaneously that β-reduction in the simply-typed λ-calculus is strongly normalizing, and that the Church-Rosser property holds (and similarly for βη-reduction). Schloss Dagstuhl – Leibniz-Zentrum für Informatik Jean Gallier 2024 Is Part Of OASIcs, Volume 119, The Provenance of Elegance in Computation - Essays Dedicated to Val Tannen (2024) InProceedings Text doc-type:ResearchArticle publishedVersion application/pdf doi:10.4230/OASIcs.Tannen.7 urn:nbn:de:0030-drops-201033 https://drops.dagstuhl.de/entities/document/10.4230/OASIcs.Tannen.7 eng https://creativecommons.org/licenses/by/4.0/legalcode