Undecidable
adjective
1.
capable of being decided.
2.
Logic. (of an axiom, proposition, etc.) having the property that its consistency or inconsistency with the axioms of a given logical system is determinable.
adjective
1.
able to be decided
2.
(logic) (of a formal theory) having the property that it is possible by a mechanistic procedure to determine whether or not any well-formed formula is a theorem
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