# decidable

## English

### Pronunciation

• (UK) IPA(key): [dɪˈsaɪdəbəɫ]
•  Audio (US) (file)

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: ${\displaystyle P\vee \neg P}$.[1]