Undecidable
Encyclopedia
Undecidable may refer to:
In mathematics and logic
Other uses
Also:
In mathematics and logic
- Undecidable problemUndecidable problemIn computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is impossible to construct a single algorithm that always leads to a correct yes-or-no answer....
- a decision problem which no algorithm can decide - "Undecidable" is sometimes used as a synonym of "independentIndependence (mathematical logic)In mathematical logic, independence refers to the unprovability of a sentence from other sentences.A sentence σ is independent of a given first-order theory T if T neither proves nor refutes σ; that is, it is impossible to prove σ from T, and it is also impossible to prove from T that...
", where a formula in mathematical logic is independent of a logical theory if neither that formula nor its negation can be proved within the theory
Other uses
- Undecidable figure
- Undecidable language
- Undecidable set
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