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  2. Recursive definition - Wikipedia

    en.wikipedia.org/wiki/Recursive_definition

    Most recursive definitions have two foundations: a base case (basis) and an inductive clause. The difference between a circular definition and a recursive definition is that a recursive definition must always have base cases, cases that satisfy the definition without being defined in terms of the definition itself, and that all other instances in the inductive clauses must be "smaller" in some ...

  3. Recursion (computer science) - Wikipedia

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

    Recursive drawing of a Sierpiński Triangle through turtle graphics. In computer science, recursion is a method of solving a computational problem where the solution depends on solutions to smaller instances of the same problem. [1] [2] Recursion solves such recursive problems by using functions that call themselves from within their own code ...

  4. Recursion - Wikipedia

    en.wikipedia.org/wiki/Recursion

    A recursive step — a set of rules that reduces all successive cases toward the base case. For example, the following is a recursive definition of a person's ancestor. One's ancestor is either: One's parent (base case), or; One's parent's ancestor (recursive step). The Fibonacci sequence is another classic example of recursion: Fib(0) = 0 as ...

  5. Primitive recursive function - Wikipedia

    en.wikipedia.org/wiki/Primitive_recursive_function

    An equivalent definition states that a partial recursive function is one that can be computed by a Turing machine. 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.

  6. Center embedding - Wikipedia

    en.wikipedia.org/wiki/Center_embedding

    Subordinators or relative pronouns indicate which type of subclause is being used. A center embedding occurs when words in a superordinate clause occur on both the left and the right of a subclause. Iterated center embedding of the same type of clause is called self-embedding.

  7. 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.

  8. Recursive data type - Wikipedia

    en.wikipedia.org/wiki/Recursive_data_type

    This definition is elegant and easy to work with abstractly (such as when proving theorems about properties of trees), as it expresses a tree in simple terms: a list of one type, and a pair of two types. This mutually recursive definition can be converted to a singly recursive definition by inlining the definition of a forest:

  9. Boolean satisfiability problem - Wikipedia

    en.wikipedia.org/wiki/Boolean_satisfiability_problem

    The incidence graph (clause-variable graph) is planar. At least one literal must be true. NP-c LSAT Linear SAT Each clause contains 3 literals, intersects at most one other clause, and the intersection is exactly one literal. At least one literal must be true. NP-c HORN-SAT Horn satisfiability Horn clauses (at most one positive literal).