Arithmetic | Logic in computer science | Mathematical logic

Successor function

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) = n + 1. For example, S(1) = 2 and S(2) = 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(a, b) = 1 + b. In this context, the extension of zeration is addition, which is defined as repeated succession. (Wikipedia).

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Exponentiation | Primitive recursive function | Closure (mathematics) | Axiom of infinity | Tetration | Computable function | Formal language | Peano axioms | Sequence | Empty set | John von Neumann | Successor cardinal | Multiplication | Grzegorczyk hierarchy | Natural number | Mathematics | Addition | Hyperoperation | Successor ordinal | Increment and decrement operators | Computability | Set-theoretic definition of natural numbers