Skip to content
ontologydriven
Sign out

Dictionary

Words, grammatical forms and meanings linked to the ontology.

decidable en · ADJ

Pronunciation

  • (US) audio
  • [dɪˈsaɪdəbəɫ] (UK)

Etymology

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

Meanings

  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.

Forms

SpellingFeaturesLabelsSource
more decidable Degree=Cmp lexicographic
most decidable Degree=Sup lexicographic

Antonyms

undecidable

Deriveds

semi-decidable

Relateds

decidability

Synonyms

computable · recursive

Translations (9)

fi ratkaistavissa oleva (capable of being decided) · ro decidabil (computer science: describing a set) · de entscheidbar (capable of being decided) · es decidible (capable of being decided) · he כריע (computer science: describing a set) · fi ratkaistavissa oleva (computer science: describing a set) · de entscheidbar (computer science: describing a set) · ru разрешимый (capable of being decided) · cs rozhodnutelný (capable of being decided)