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decidability

[dɪˌsaɪdəˈbɪləti]

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.

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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.