decidable

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See also: décidable

English[edit]

Etymology[edit]

decide +‎ -able

Pronunciation[edit]

Adjective[edit]

decidable (comparative more decidable, superlative most decidable)

  1. capable of being decided.
  2. (computer science) describing a set for which there exists an algorithm that will determine whether any element is or is not within the set in a finite amount of time.
    It is easy to show that the set of even numbers is decidable by creating the relevant Turing machine.
  3. (logic) in intuitionistic logic, a proposition P is decidable in a given theory if it can be proven from the theory that "either P or not P", i.e. in symbols: .[1]

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