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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematical logic and computer science, a recursive definition (or inductive definition) is used to define an object in terms of itself (Aczel 1978:740ff). A recursive definition of a function defines values of the functions for some inputs in terms of the values of the same function for other inputs. For example, the factorial function n! is defined by the rules. 0! = 1. (n+1)! = (n+1)·n!.