decidable

capable of being decided.

Adjective

  1. capable of being decided.
  2. 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. 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: P∨¬P.

Origin

Etymology tree English decide Proto-Indo-European *-dʰlom Proto-Indo-European *-dʰlis Proto-Italic *-ðlis Latin -bilis Latin -ābilis Old French -ablebor. Middle English -able English -able English decidable From decide + -able.

Forms

more decidable most decidable

Synonyms

recursive computable

Antonyms

undecidable

Related

decidability

Derived

semi-decidable