Call a function: Difference between revisions

Function calling is the sole primitive in the Lambda Calculus. The application of function f on argument a is denoted 01 f a in Binary Lambda Calculus. Multi argument functions are achieved by currying, i.e. a function of the first argument returns a function of the 2nd argument, etc. A good example is the Church numeral 2, which given a function f and an argument x, applies f twice on x: C2 = \f. \x. f (f x). This is written in BLC as

 

 

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