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math.LO2024
Fibred sets within a predicative and constructive effective topos
Cipriano Junior Cioffo, Maria Emilia Maietti, Samuele Maschio
We describe the fibrational structure of sets within the predicative variant of Hyland's Effective Topos previously introduced in Feferman's predicat…
math.LO2024
Equiconsistency of the Minimalist Foundation with its classical version
Maria Emilia Maietti, Pietro Sabelli
The Minimalist Foundation, for short MF, was conceived by the first author with G. Sambin in 2005, and fully formalized in 2009, as a common core among the most relevant constructi…
math.LO2024
On the Compatibility of Constructive Predicative Mathematics with Weyl's Classical Predicativity
Michele Contente, Maria Emilia Maietti
It is well known that most constructive and predicative foundations aiming to develop Bishop's constructive analysis are incompatible with a classical predicative development of an…