Quantitative polynomial functors
Nakov, Georgi and Forsberg, Fredrik Nordvall; Gadducci, Fabio and Silva, Alexandra, eds. (2021) Quantitative polynomial functors. In: 9th Conference on Algebra and Coalgebra in Computer Science (CALCO 2021). Leibniz International Proceedings in Informatics (LIPIcs) . Schloss Dagstuhl--Leibniz-Zentrum fuer Informatik, AUT, 22:1-22:5. ISBN 9783959772129 (https://doi.org/10.4230/LIPIcs.CALCO.2021.22)
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Abstract
We investigate containers and polynomial functors in Quantitative Type Theory, and give initial algebra semantics of inductive data types in the presence of linearity. We show that reasoning by induction is supported, and equivalent to initiality, also in the linear setting.
ORCID iDs
Nakov, Georgi and Forsberg, Fredrik Nordvall ORCID: https://orcid.org/0000-0001-6157-9288; Gadducci, Fabio and Silva, Alexandra-
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Item type: Book Section ID code: 79345 Dates: DateEvent3 September 2021Published29 July 2021AcceptedSubjects: Science > Mathematics > Computer software Department: Faculty of Science > Computer and Information Sciences Depositing user: Pure Administrator Date deposited: 27 Jan 2022 15:31 Last modified: 23 Dec 2024 01:05 Related URLs: URI: https://strathprints.strath.ac.uk/id/eprint/79345