With this word, Leibniz famously enjoined the reader to compute. Contemporary logicians took this motto as a founding principle after the progressive discovery of the proof-as-program correspondence. This major breakthrough, also known as the Curry-Howard equivalence, is the seemingly simple observation that proofs and programs are the same object, in an essential way. One major offshoot of the Curry-Howard philosophical stance is Martin-Löf's type theory (MLTT), the theoretical underpinning of several widely used proof assistants such as Agda, Coq, or Lean.16 In these systems, there is no formal separation between proofs and programs, as they live in the same syntax and obey the same rules.