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  2. Mutual recursion - Wikipedia

    en.wikipedia.org/wiki/Mutual_recursion

    Mutual recursion is very common in functional programming, and is often used for programs written in LISP, Scheme, ML, and similar programming languages. For example, Abelson and Sussman describe how a meta-circular evaluator can be used to implement LISP with an eval-apply cycle. [7] In languages such as Prolog, mutual recursion is almost ...

  3. Bekić's theorem - Wikipedia

    en.wikipedia.org/wiki/Bekić's_theorem

    In computability theory, Bekić's theorem or Bekić's lemma is a theorem about fixed-points which allows splitting a mutual recursion into recursions on one variable at a time. [1] [2] [3] It was created by Austrian Hans Bekić (1936-1982) in 1969, [4] and published posthumously in a book by Cliff Jones in 1984. [5] The theorem is set up as ...

  4. Primitive recursive function - Wikipedia

    en.wikipedia.org/wiki/Primitive_recursive_function

    Course-of-values recursion defines primitive recursive functions. Some forms of mutual recursion also define primitive recursive functions. The functions that can be programmed in the LOOP programming language are exactly the primitive recursive functions. This gives a different characterization of the power of these functions.

  5. Category:Recursion - Wikipedia

    en.wikipedia.org/wiki/Category:Recursion

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  6. Let expression - Wikipedia

    en.wikipedia.org/wiki/Let_expression

    The terminology, syntax and semantics vary from language to language. In Scheme, let is used for the simple form and let rec for the recursive form. In ML let marks only the start of a block of declarations with fun marking the start of the function definition. In Haskell, let may be mutually recursive, with the compiler figuring out what is ...

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  8. Second-order logic - Wikipedia

    en.wikipedia.org/wiki/Second-order_logic

    More expressive fragments are defined for any k > 0 by mutual recursion: + has the form …, where is a formula, and similar, + has the form …, where is a formula. (See analytical hierarchy for the analogous construction of second-order arithmetic .)

  9. Corecursion - Wikipedia

    en.wikipedia.org/wiki/Corecursion

    In computer science, corecursion is a type of operation that is dual to recursion.Whereas recursion works analytically, starting on data further from a base case and breaking it down into smaller data and repeating until one reaches a base case, corecursion works synthetically, starting from a base case and building it up, iteratively producing data further removed from a base case.