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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.LO2021
Extending the extensional level of the Minimalist Foundation to axiomatic set theories
Samuele Maschio, Pietro Sabelli
We introduce extensions by rules of the extensional level of the Minimalist Foundation which turn out to be equivalent to constructive and classical axiomatic set theories.