# decidable

> English word · Adjective · IPA [dɪˈsaɪdəbəɫ]

## Definitions
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.
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.

## Etymology
From decide + -able.

## Source
Compiled from Wiktionary via kaikki.org (CC BY-SA). Data vintage: 2026-09-03.
Canonical page: https://plainspell.com/en/word/decidable