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Computable vs Decidable - What's the difference?

computable | decidable | Synonyms |

Decidable is a synonym of computable.



As adjectives the difference between computable and decidable

is that computable is capable of being computed while decidable is capable of being decided.

computable

English

Adjective

(-)
  • Capable of being computed.
  • (computing theory) algorithmically computable, i.e. able to be calculated by a Turing machine

    • Derived terms

    * computability

    decidable

    English

    Adjective

    (en adjective)
  • capable of being decided.
  • (computer science) describing a set for which there exists an algorithm that will determine whether any element is or is not within the set in a finite amount of time.
    • It is easy to show that the set of even numbers is decidable by creating the relevant Turing machine.
  • (logic) in intuitionistic logic, a proposition P'' is decidable in a given theory if it can be proven from the theory that "either ''P'' or not ''P ", i.e. in symbols: P \vee \neg P .http://plato.stanford.edu/entries/logic-intuitionistic/

    • Synonyms

    * (computer science) recursive, computable

    Antonyms

    * undecidable

    Derived terms

    * semi-decidable

    Related terms

    * decidability

    References