Decidability: meaning, definitions and examples

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decidability

[ dɪˌsaɪdəˈbɪləti ]

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theory

The property of a decision problem that can be solved by an algorithm.

Synonyms

computability, determinability, solubility

Examples of usage

The decidability of the halting problem is a fundamental concept in computer science.
Mathematical logic deals with questions of decidability and undecidability.

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philosophy

The ability to make a decision or determine a course of action.

Synonyms

conclusiveness, determination, resolution

Examples of usage

Decidability is crucial in ethical dilemmas.
The lack of decidability in the situation led to confusion.

Translations

Translations of the word "decidability" in other languages:

🇵🇹 decidibilidade

🇮🇳 निर्णयक्षमता

🇩🇪 Entscheidbarkeit

🇮🇩 keputusan

🇺🇦 розв'язність

🇵🇱 rozstrzygalność

🇯🇵 決定可能性 (けっていかのうせい)

🇫🇷 décidabilité

🇪🇸 decidibilidad

🇹🇷 karar verilebilirlik

🇰🇷 결정 가능성 (gyeoljeong ganeungseong)

🇸🇦 قابلية القرار

🇨🇿 rozhodnutelnost

🇸🇰 rozhodnuteľnosť

🇨🇳 可判定性 (kě pàn dìng xìng)

🇸🇮 odločljivost

🇮🇸 ákvörðunargeta

🇰🇿 шешімділік

🇬🇪 გადაწყვეტადობა

🇦🇿 qərarvericilik

🇲🇽 decidibilidad

Word origin

The term 'decidability' originated in the early 20th century in the field of mathematical logic. It was first used in the context of decision problems that could be solved by a mechanical procedure. Over time, the concept of decidability expanded to other disciplines such as computer science, philosophy, and ethics. Today, decidability is a key concept in algorithmic theory and plays a crucial role in various areas of study.