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  2. Recursion (computer science) - Wikipedia

    en.wikipedia.org/wiki/Recursion_(computer_science)

    where a represents the number of recursive calls at each level of recursion, b represents by what factor smaller the input is for the next level of recursion (i.e. the number of pieces you divide the problem into), and f(n) represents the work that the function does independently of any recursion (e.g. partitioning, recombining) at each level ...

  3. General recursive function - Wikipedia

    en.wikipedia.org/wiki/General_recursive_function

    The μ-recursive functions (or general recursive functions) are partial functions that take finite tuples of natural numbers and return a single natural number. They are the smallest class of partial functions that includes the initial functions and is closed under composition, primitive recursion, and the minimization operator μ .

  4. Primitive recursive function - Wikipedia

    en.wikipedia.org/wiki/Primitive_recursive_function

    A total recursive function is a partial recursive function that is defined for every input. Every primitive recursive function is total recursive, but not all total recursive functions are primitive recursive. The Ackermann function A(m,n) is a well-known example of a total recursive function (in fact, provable total), that is not primitive ...

  5. Recursion - Wikipedia

    en.wikipedia.org/wiki/Recursion

    The function calls itself recursively on a smaller version of the input (n - 1) and multiplies the result of the recursive call by n, until reaching the base case, analogously to the mathematical definition of factorial. Recursion in computer programming is exemplified when a function is defined in terms of simpler, often smaller versions of ...

  6. Mutual recursion - Wikipedia

    en.wikipedia.org/wiki/Mutual_recursion

    Mathematically, a set of mutually recursive functions are primitive recursive, which can be proven by course-of-values recursion, building a single function F that lists the values of the individual recursive function in order: = (), (), (), (), …, and rewriting the mutual recursion as a primitive recursion.

  7. Recursive function - Wikipedia

    en.wikipedia.org/wiki/Recursive_function

    Recursive function may refer to: Recursive function (programming), a function which references itself; General recursive function, a computable partial function from natural numbers to natural numbers Primitive recursive function, a function which can be computed with loops of bounded length; Another name for computable function

  8. Corecursion - Wikipedia

    en.wikipedia.org/wiki/Corecursion

    A classic example of recursion is computing the factorial, which is defined recursively by 0! := 1 and n! := n × (n - 1)!.. To recursively compute its result on a given input, a recursive function calls (a copy of) itself with a different ("smaller" in some way) input and uses the result of this call to construct its result.

  9. Tak (function) - Wikipedia

    en.wikipedia.org/wiki/Tak_(function)

    In computer science, the Tak function is a recursive function, named after Ikuo Takeuchi . It is defined as follows: (,,) = ...