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Many mathematical axioms are based upon recursive rules. 0 is a natural number, and each natural number has a successor, which is also a natural number. By this base case and recursive rule, one can generate the set of all natural numbers. Recursion is the process a procedure goes through when one of the steps of the procedure involves invoking the procedure itself. A procedure that goes through recursion is said to be ‘recursive’. To understand recursion, one must recognize the distinction between a procedure and the running of a procedure.

A procedure is a set of steps based on a set of rules. The running of a procedure involves actually following the rules and performing the steps. Recursion is related to, but not the same as, a reference within the specification of a procedure to the execution of some other procedure. For instance, a recipe might refer to cooking vegetables, which is another procedure that in turn requires heating water, and so forth. For this reason recursive definitions are very rare in everyday situations. If the point reached is an exit, terminate. Whether this actually defines a terminating procedure depends on the nature of the maze: it must not allow loops.