arithmetic hierarchy
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Arithmetical hierarchy — In mathematical logic, the arithmetical hierarchy, arithmetic hierarchy or Kleene hierarchy classifies certain sets based on the complexity of formulas that define them. Any set that receives a classification is called arithmetical. The… … Wikipedia
arithmetical hierarchy — noun A classification of sets of natural numbers by the complexity of the formulas in the language of Peano arithmetic that define them, specifically by the number of alternations of A and E in the defining formula given the formula is in prenex… … Wiktionary
Analytical hierarchy — In mathematical logic and descriptive set theory, the analytical hierarchy is a higher type analogue of the arithmetical hierarchy. It thus continues the classification of sets by the formulas that define them. The analytical hierarchy of… … Wikipedia
Second-order arithmetic — In mathematical logic, second order arithmetic is a collection of axiomatic systems that formalize the natural numbers and sets thereof. It is an alternative to axiomatic set theory as a foundation for much, but not all, of mathematics. The… … Wikipedia
Analytic Hierarchy Process — The Analytic Hierarchy Process (AHP) is a structured technique for helping people deal with complex decisions. Rather than prescribing a correct decision, the AHP helps people to determine one. Based on mathematics and human psychology, it was… … Wikipedia
Polynomial hierarchy — In computational complexity theory, the polynomial hierarchy is a hierarchy of complexity classes that generalize the classes P, NP and co NP to oracle machines.DefinitionsThere are multiple equivalent definitions of the classes of the polynomial … Wikipedia
P versus NP problem — Unsolved problems in computer science Is P = NP ? … Wikipedia
Computational complexity theory — is a branch of the theory of computation in theoretical computer science and mathematics that focuses on classifying computational problems according to their inherent difficulty, and relating those classes to each other. In this context, a… … Wikipedia
List of philosophy topics (A-C) — 110th century philosophy 11th century philosophy 12th century philosophy 13th century philosophy 14th century philosophy 15th century philosophy 16th century philosophy 17th century philosophy 18th century philosophy 19th century philosophy220th… … Wikipedia
NP-complete — Euler diagram for P, NP, NP complete, and NP hard set of problems In computational complexity theory, the complexity class NP complete (abbreviated NP C or NPC) is a class of decision problems. A decision problem L is NP complete if it is in the… … Wikipedia
