Gambino, N orcid.org/0000-0002-4257-3590 and Hyland, M (2004) Wellfounded Trees and Dependent Polynomial Functors. In: Lecture Notes in Computer Science. TYPES 2003: International Workshop on Types for Proofs and Programs, 30 Apr - 04 May 2003, Torino, Italy. Springer Nature , pp. 210-225. ISBN 978-3-540-22164-7
Abstract
We set out to study the consequences of the assumption of types of wellfounded trees in dependent type theories. We do so by in- vestigating the categorical notion of wellfounded tree introduced in [16]. Our main result shows that wellfounded trees allow us to define initial algebras for a wide class of endofunctors on locally cartesian closed cat- egories.
Metadata
Item Type: | Proceedings Paper |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © Springer-Verlag Berlin Heidelberg 2004. This is an author produced version of a conference paper published in Lecture Notes in Computer Science. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Type Theory; Natural Transformation; Monoidal Category; Left Adjoint; Forgetful Functor |
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: | 25 Feb 2020 15:17 |
Last Modified: | 26 Feb 2020 15:17 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/978-3-540-24849-1_14 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:113158 |