Standard Lemma guide

decidable

adj · 3 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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  • UK: [dɪˈsaɪdəbəɫ]
  • US: Recorded audio is listed in the source snapshot.

1

adj

Meaning 1

capable of being decided.

Definition source: English Wiktionary via Wiktextract

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

2

adj

Meaning 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.

Definition source: English Wiktionary via Wiktextract

Topics: computer, computing, engineering, mathematics, natural-sciences, physical-sciences, science, sciences

Examples

  • It is easy to show that the set of even numbers is decidable by creating the relevant Turing machine.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

3

adj

Meaning 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.

Definition source: English Wiktionary via Wiktextract

Topics: human-sciences, logic, mathematics, philosophy, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

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.

Across languages

Translations

9 source translations are retained for this English entry.

  • Czech: rozhodnutelný — capable of being decided
  • Finnish: ratkaistavissa oleva — capable of being decided
  • German: entscheidbar — capable of being decided
  • Russian: разрешимый (razrešimyj) — capable of being decided
  • Spanish: decidible — capable of being decided
  • Finnish: ratkaistavissa oleva — computer science: describing a set
  • German: entscheidbar — computer science: describing a set
  • Hebrew: כריע (karí'a) — computer science: describing a set
  • Romanian: decidabil — computer science: describing a set