computability Definition
- 1the ability of a problem or function to be solved or computed by an algorithm or computer program
- 2the study of the limits and capabilities of computers and algorithms
Using computability: Examples
Take a moment to familiarize yourself with how "computability" can be used in various situations through the following examples!
Example
The halting problem is an example of a problem that has been proven to be undecidable, meaning it has no computable solution.
Example
Alan Turing's work on computability laid the foundation for modern computer science.
Example
The Church-Turing thesis asserts that any problem that can be solved by an algorithm can be solved by a Turing machine, demonstrating the universality of computability.
computability Synonyms and Antonyms
Synonyms for computability
- decidability
- algorithmic solvability
Summary: computability in Brief
Computability [kəmˌpjuːtəˈbɪləti] refers to the ability of a problem or function to be solved or computed by an algorithm or computer program. It is also the study of the limits and capabilities of computers and algorithms. Examples of computability include the halting problem and the Church-Turing thesis, which demonstrates the universality of computability.
