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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
continuation passing style
continuation
continuations
(CPS) A style of programming in which every user
function f takes an extra argument c known as a "continuation".
Whenever f would normally return a result r to its caller, it
instead returns the result of applying the continuation to r. The
continuation thus represents the whole of the rest of the
computation. Some examples:
normal (direct style) continuation passing style
square x = x * x square x k = k (x * x)
g (square 23) square 23 g
(square 3) + 1 square 3 ( \ s . s + 1 )
(1995-04-04)