(Enter summary)
Abstract: We show how to write generic programs and proofs in MartinL
of type theory. To this end we consider several extensions of MartinL
of's logical framework for dependent types. Each extension has a universe
of codes (signatures) for inductively de
ned sets with generic formation,
introduction, elimination, and equality rules. These extensions
are modeled on Dybjer and Setzer's
nitely axiomatized theories of
inductive-recursive de
nitions, which also have universes of codes for sets,... (Update)
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BibTeX entry: (Update)
M. Benke, P. Dybjer, and P. Jansson. Universes for generic programs and proofs in dependent type theory. Manuscript, March 2003. http://citeseer.ist.psu.edu/benke03universes.html More
@misc{ benke03universes,
author = "M. Benke and P. Dybjer and P. Jansson",
title = "Universes for generic programs and proofs in dependent type theory",
text = "M. Benke, P. Dybjer, and P. Jansson. Universes for generic programs and
proofs in dependent type theory. Manuscript, March 2003.",
year = "2003",
url = "citeseer.ist.psu.edu/benke03universes.html" }
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Documents on the same site (http://www.cs.chalmers.se/~peterd/): More
Final Report - Febr Ua Ry
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A Finite Axiomatization of Inductive-Recursive Definitions - Dybjer, Setzer (1998)
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Inductive Definitions and Type Theory: An Introduction - Coquand, Dybjer
(Correct)
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