This artifact provides the fully mechanized proof of strong normalization for D_{<:} , a variant of (Dependent Object Types) DOT (Rompf & Amin, 2016) that excludes recursive functions and recursive types. The intersection type and recursive self type are further integrated, moving towards DOT. The key proof idea follows the method of Girard (Girard, 1972) and Tait (Tait, 1967).
@Article{wang_et_al:DARTS.3.2.5, author = {Wang, Fei and Rompf, Tiark}, title = {{Towards Strong Normalization for Dependent Object Types (DOT) (Artifact)}}, pages = {5:1--5:3}, journal = {Dagstuhl Artifacts Series}, ISSN = {2509-8195}, year = {2017}, volume = {3}, number = {2}, editor = {Wang, Fei and Rompf, Tiark}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/DARTS.3.2.5}, URN = {urn:nbn:de:0030-drops-72869}, doi = {10.4230/DARTS.3.2.5}, annote = {Keywords: Scala, DOT, strong normalization, logical relations, recursive types} }
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