decidable

See also: décidable

English

Etymology

decide +‎ -able

Pronunciation

• (UK) IPA^(key): [dɪˈsaɪdəbəɫ]

• Audio (US):

  (file)

Adjective

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: $P\vee \neg P$.

Synonyms

• (computer science): recursive, computable

Antonyms

• undecidable

Derived terms

• semi-decidable

Related terms

• decidability

Translations

capable of being decided

• Czech: rozhodnutelný m
• Finnish: ratkaistavissa oleva
• German: entscheidbar
• Spanish: decidible

computer science: describing a set

• Finnish: ratkaistavissa oleva
• German: entscheidbar
• Hebrew: כריע (karí'a)
• Romanian: decidabil