Intuitionistic Type Theory

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History of Interactive Theorem Proving (2014, methodology): “…theory, the type-theoretic frameworks exploiting the Curry-Howard correspondence between propositions and types, such as Martin-Löf’s type theory [Martin-Löf, 1984], are arguably the most elegant intuitionistic formal systems, and it is these that have inspired Coq, NuPRL and many other…”
LightDP: towards automating differential privacy proofs (2016, background): “Dependent types and imperative programming Mutable states in imperative programming brings subtleties that are not foreseen in the standard theory of dependent types (Martin-Löf 1984).”
The Lean Theorem Prover (System Description) (2015, methodology): “Without an impredicative Prop, the kernel implements a version of Martin-Löf type theory [12,23].”