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Abstract: In this paper, an extension of Pure Type Systems (PTS's ) to include definitions is presented and the meta-theory of these PTS's with definitions is treated in detail. We prove that all the properties of a PTS are preserved by the extension. 1 Introduction A PTS does not provide the possibility to introduce a definition, i.e. an abbreviation (name) for a larger term which can be used several times in a program or proof. A definition mechanism is essential for practical use, and indeed... (Update)
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BibTeX entry: (Update)
Paula Severi and Erik Poll. Pure type systems with definitions. Computing science note 93/24, Eindhoven University of Technology, September 1993. http://citeseer.ist.psu.edu/severi93pure.html More
@inproceedings{ severi94pure,
author = "Paula Severi and Erik Poll",
title = "Pure Type Systems with Definitions",
booktitle = "Logical Foundations of Computer Science",
pages = "316-328",
year = "1994",
url = "citeseer.ist.psu.edu/severi93pure.html" }
Citations (may not include all citations):382 Lambda calculi with types - Barendregt - 1992
382 Lambda calculi with types - Barendregt - 1992
191 LEGO proof development system: User's manual (context) - Luo, Pollack - 1992
96 A survey of the project AUTOMATH (context) - de Bruijn - 1980
95 the Extended Calculus of Constructions - Luo - 1989
95 the Extended Calculus of Constructions - Luo - 1989
41 Information and Computation (context) - Jutting, pure et al.
39 A modular proof of strong normalization for the calculus of .. (context) - Geuvers, Nederhof - 1991
33 Une Theorie des Constructions (context) - Coquand - 1985
26 The Coq proof assistant version (context) - Dowek - 1991
22 The Language Theory of Automath (context) - Van Daalen - 1980
6 Goal directed proof construction in type theory (context) - Helmink - 1991
2 Centre for Mathematics and Computer Science Amsterdam (context) - Klop, Systems - 1990
1 reductions and representability in the lambda calculus (context) - Klop, Barendregt et al. - 1976
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