{"id":"palomar/PALOMAR-2026-08-27-000015","url":"https://github.com/Arthur742Ramos/HigherLambdaModel/tree/f2fc3a20d29b24098466ba4373c0e93abb65f546/palomar","json":"https://data.palomar-registry.org/entries/PALOMAR-2026-08-27-000015-v1.json","repo":"https://github.com/Arthur742Ramos/HigherLambdaModel","tags":["math.LO","msc:03B35","lambda-calculus","lean","homotopy-type-theory","logic"],"score":0,"title":"Arthur742Ramos/HigherLambdaModel","trust":"high","domain":"math.LO","source":"palomar","authors":["Arthur Ramos","Daniel O. Martinez-Rivillas","Ruy J.G.B. de Queiroz"],"reviews":0,"subject":"math.LO","summary":"A Lean formalization of higher-dimensional structure in the untyped lambda calculus. Arthur Ramos is the first author and responsible maintainer of the Lean formalization; Daniel O. Martinez-Rivillas and Ruy J.G.B. de Queiroz are credited as the mathematical/source authors whose results are formalized. The Palomar surface uses a restricted Kan-complex exponential and a separate certificate for term-generated semantic bodies, while the substantive repository also formalizes the higher conversion tower and the concrete K-infinity homotopy lambda model.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"verified":true,"discussed":0,"published":"2026-08-27","reactions":{},"formalized":true,"formalizes":[{"title":"The Theory of an Arbitrary Higher lambda-Model","identifier":"arXiv:2111.07092","relationship":"formalizes"},{"title":"The K-infinity Homotopy lambda-Model","identifier":"arXiv:2505.07103","relationship":"formalizes"}]}