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In mathematics, the successor function or successor operation sends a natural number to the next one. The successor function is denoted by S, so S = n + 1. For example, S = 2 and S = 3. The successor function is one of the basic components used to build a primitive recursive function.
Successor operations are also known as zeration in the context of a zeroth hyperoperation: H0 = 1 + b. In this context, the extension of zeration is addition, which is defined as repeated succession.
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