decidability Definition
the property of a problem or set of problems that allows an algorithm to determine whether any given input belongs to the set of instances for which the problem can be solved.
Using decidability: Examples
Take a moment to familiarize yourself with how "decidability" can be used in various situations through the following examples!
Example
The decidability of the halting problem is a famous example of an undecidable problem.
Example
The decidability of a problem is a crucial factor in determining its computational complexity.
Summary: decidability in Brief
The term 'decidability' [dɪˌsaɪdəˈbɪləti] refers to the property of a problem or set of problems that allows an algorithm to determine whether any given input belongs to the set of instances for which the problem can be solved. It is a crucial factor in determining the computational complexity of a problem, and the decidability of the halting problem is a famous example of an undecidable problem.
