The Free On-line Dictionary of Computing (30 December 2018):

typed lambda-calculus

    (TLC) A variety of lambda-calculus in which every
   term is labelled with a type.

   A function application (A B) is only synctactically valid if
   A has type s --> t, where the type of B is s (or an instance
   or s in a polymorphic language) and t is any type.

   If the types allowed for terms are restricted, e.g. to
   Hindley-Milner types then no term may be applied to itself,
   thus avoiding one kind of non-terminating evaluation.

   Most functional programming languages, e.g. Haskell, ML,
   are closely based on variants of the typed lambda-calculus.

   (1995-03-25)