Pure type systems with definitions

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Abstract

In this paper, an extension of Pure Type Systems (PTS’s) with definitions is presented. We prove this extension preserves many of the properties of PTS’s. The main result is a proof that for many PTS’s, including the Calculus of Constructions, this extension preserves strong normalisation.

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Severi, P., & Poll, E. (1994). Pure type systems with definitions. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 813 LNCS, pp. 316–328). Springer Verlag. https://doi.org/10.1007/3-540-58140-5_30

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