Azcel, P and Gambino, N orcid.org/0000-0002-4257-3590 (2002) Collection Principles in Dependent Type Theory. In: Lecture Notes in Computer Science: TYPES 2000. International Workshop on Types for Proofs and Programs (TYPES) 2000, 08-12 Dec 2000, Durham, UK. Springer Verlag , pp. 1-23. ISBN 3-540-43287-6
Abstract
We introduce logic-enriched intuitionistic type theories, that extend intuitionistic dependent type theories with primitive judgements to express logic. By adding type theoretic rules that correspond to the collection axiom schemes of the constructive set theory CZF we obtain a generalisation of the type theoretic interpretation of CZF. Suitable logic-enriched type theories allow also the study of reinterpretations of logic. We end the paper with an application to the double-negation in- terpretation.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2002, Springer-Verlag Berlin Heidelberg. This is an author produced version of a conference paper published in Lecture Notes in Computer Science: Types for Proofs and Programs. Uploaded in accordance with the publisher's self-archiving policy. |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 06 Sep 2019 14:49 |
Last Modified: | 06 Sep 2019 14:49 |
Status: | Published |
Publisher: | Springer Verlag |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:113157 |