What is the difference between non-computable and undecidable if any?
2026-02-23 15:29:11.1771860551
Are non-computable and undecidable the same?
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In the context of computability theory, there is no difference between a non-computable set and an undecidable set.
The term "undecidable" is also used in logic to refer to a statement that is not provable or disprovable from a particular theory. For example, the continuum hypothesis is undecidable from the axioms of ZF set theory. This is distinct from the meaning of "undecidable" in computability theory.