These are the extended notes for the INF551 course which I taught at École Polytechnique starting from 2019. The goal is to give a first introduction to the Curry-Howard correspondence between programs and proofs, from a theoretical programmer’s perspective: we want to understand the theory behind logic and programming languages, but also to write concrete programs (in OCaml) and proofs (in Agda). Although most of the material is self-contained, the reader is supposed to be already acquainted with logic and programming.
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