Maybe they should rename it?
"Calculus of Inductive Constructions" (https://coq.inria.fr/about-coq)
> Coq is the result of more than 20 years of research. It started in 1984 from an implementation of the Calculus of Constructions at INRIA-Rocquencourt by Thierry Coquand and Gérard Huet. In 1991, Christine Paulin extended it to the Calculus of Inductive Constructions.