Highly Influenced

@article{Maietti2009AMT, title={A minimalist two-level foundation for constructive mathematics}, author={Maria Emilia Maietti}, journal={Ann. Pure Appl. Logic}, year={2009}, volume={160}, pages={319-354} }

- Published 2009 in Ann. Pure Appl. Logic
DOI:10.1016/j.apal.2009.01.006

We present a two-level theory to formalize constructive mathematics as advocated in a previous paper with G. Sambin [MS05]. One level is given by an intensional type theory, called Minimal type theory. This theory extends the set-theoretic version previously introduced in [MS05] with collections. The other level is given by an extensional set theory which is interpreted in the first one by means of a quotient model. This two-level theory has two main features: it is minimal among the most… CONTINUE READING