Arity

"Adicity" redirects here. Not to be confused with Acidity.

In logic, mathematics, and computer science, arity (/ˈærɪti/ ⓘ) is the number of arguments or operands taken by a function, operation or relation. In mathematics, arity may also be called rank,[1][2] but this word can have many other meanings. In logic and philosophy, arity may also be called adicity and degree.[3][4] In linguistics, it is usually named valency.[5]

  1. ^ Hazewinkel, Michiel (2001). Encyclopaedia of Mathematics, Supplement III. Springer. p. 3. ISBN 978-1-4020-0198-7.
  2. ^ Schechter, Eric (1997). Handbook of Analysis and Its Foundations. Academic Press. p. 356. ISBN 978-0-12-622760-4.
  3. ^ Detlefsen, Michael; McCarty, David Charles; Bacon, John B. (1999). Logic from A to Z. Routledge. p. 7. ISBN 978-0-415-21375-2.
  4. ^ Cocchiarella, Nino B.; Freund, Max A. (2008). Modal Logic: An Introduction to its Syntax and Semantics. Oxford University Press. p. 121. ISBN 978-0-19-536658-7.
  5. ^ Crystal, David (2008). Dictionary of Linguistics and Phonetics (6th ed.). John Wiley & Sons. p. 507. ISBN 978-1-405-15296-9.