IPA: /dɪˈsaɪdəˌbɪlɪti/
KK: /dɪˈsaɪdəˌbɪlɪti/
The quality of being able to be decided or determined, especially in logic or mathematics.
The decidability of certain mathematical problems is a key topic in theoretical computer science.
Decidability is formed from "decidere" (meaning to cut off or decide) and the suffix "-ability" (meaning the quality of being able to). The term refers to the quality of being able to decide or determine a particular outcome.
Think of the word 'decide' which means to cut off options, combined with '-ability' which indicates the quality of being able to do something. This helps you remember that 'decidability' refers to the quality of being able to make a decision.