Undecidable
Definition & Meaning
Part of speech adjective
Quick meaning: Undecidable is an adjective meaning (mathematics, computing theory) Incapable of being algorithmically decided in finite time. For example, a set of strings is undecidable if it is impossible to program a computer (even one with infinite memory) to determine whether or not specified strings are included.
Meaning
(mathematics, computing theory) Incapable of being algorithmically decided in finite time. For example, a set of strings is undecidable if it is impossible to program a computer (even one with infinite memory) to determine whether or not specified strings are included.
More Meanings
- (mathematics) (of a WFF) logically independent from the axioms of a given theory; i.e., that it can never be either proved or disproved (i.e., have its negation proved) on the basis of the axioms of the given theory. (Note: this latter definition is independent of any time bounds or computability issues, i.e., more Platonic.)
Antonyms for undecidable
Common opposites include decidable.
Related Words
Related dictionary entries include undecideable, noncomputable, uncomputable, incomputable, non-computable, indefiable.
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Sources & Attribution
FreeDictionaryAPI.com / Wiktionary · Original source · CC BY-SA 4.0
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