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Abstract: We introduce a family of type theories as internal languages for autonomous (or symmetric monoidal closed) and -autonomous categories, in the same sense that the simply-typed -calculus with surjective pairing is the internal language for cartesian closed categories. The rules for the typing judgements are presented in the style of Gentzen's Sequent Calculus. A notable feature is the systematic treatment of naturality conditions by expressing the categorical composition, or cut in the type... (Update)
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BibTeX entry: (Update)
@article{ koh99internal,
author = "Thong wei Koh and C.-H. Luke Ong",
title = "Internal Languages for Autonomous and *-Autonomous Categories",
journal = "Electronic Notes in Theoretical Computer Science",
volume = "29",
year = "1999",
url = "citeseer.ist.psu.edu/225943.html" }
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