decidable

From decide + -able.

• (UK) IPA^(key): [dɪˈsaɪdəbəɫ]

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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]

• (computer science): recursive, computable

• undecidable

• semi-decidable

• decidability