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typed lambda-calculus


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typed lambda-calculus - Free On-line Dictionary of Computing (26 May 2007) :

  typed lambda-calculus
  
     <theory> (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)