Inductive and Coinductive Topological Generation with Church's thesis and the Axiom of Choice

In this work we consider an extension MFcind of the Minimalist Foundation MF for predicative constructive mathematics with the addition of inductive and coinductive definitions sufficient to generate Sambin's Positive topologies, namely Martin-L\"of-Sambin formal topologies equipped with a...

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Bibliographic Details
Main Authors: Maria Emilia Maietti, Samuele Maschio, Michael Rathjen
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2022-11-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/7321/pdf