From the very start of my thesis, the key idea was to find a lambda calculus with explicit substitutions, indexes, and all the good properties (I refer the reader to all previous posts). In particular, having in mind a recent work from Delia Kesner

Making a thesis

Different properties one can expect from any λ-calculus

Explicit Substitutions, or Substitutions If You Need to Implement Them

With this cite of Monthy Python, I will move into another family of calculi. What's wrong with our good ol' λ-calculus? Nearly nothing, except if you want to implement it in a real PC. In one of the firsts posts I've mentioned the α-congruence. The...