Computability: meaning, definitions and examples

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computability

[ ˌkɒmˌpjuː.təˈbɪl.ɪ.ti ]

^{Context #1}

theory

The quality or state of being computable; the ability to be solved by an algorithm or a computer program.

Synonyms

algorithmic solvability, computational feasibility, solvability

Examples of usage

The computability of certain mathematical problems has been a topic of research for decades.
Many real-world problems can be reduced to questions of computability.

^{Context #2}

computing

The extent to which a problem or function can be computationally solved or executed.

Synonyms

algorithmic feasibility, computational solvability, executability

Examples of usage

Programmers often consider computability when designing algorithms.
The computability of a problem can impact the efficiency of a program.

Translations

Translations of the word "computability" in other languages:

🇵🇹 computabilidade

🇮🇳 गणनीयता

🇩🇪 Berechenbarkeit

🇮🇩 komputabilitas

🇺🇦 обчислюваність

🇵🇱 obliczalność

🇯🇵 計算可能性

🇫🇷 calculabilité

🇪🇸 computabilidad

🇹🇷 hesaplanabilirlik

🇰🇷 계산 가능성

🇸🇦 قابلية الحساب

🇨🇿 počitatelnost

🇸🇰 počítačnosť

🇨🇳 可计算性

🇸🇮 računljivost

🇮🇸 útreiknanleiki

🇰🇿 есептелушілік

🇬🇪 ანგარიშსწიფობა

🇦🇿 hesablama qabiliyyəti

🇲🇽 computabilidad

Word origin

The concept of computability has deep roots in mathematical logic and computer science. It emerged in the early 20th century with the work of logicians such as Alan Turing and Alonzo Church. Their groundbreaking contributions laid the foundation for understanding what can and cannot be computed by machines. The study of computability has since become a fundamental aspect of theoretical computer science, shaping the development of algorithms and programming languages.