decidable

Has definite answer

Decidable describes a problem or question for which an algorithm can determine the answer in finite time.

In logic and computer science, a decidable problem always yields a definite yes or no: The halting problem is famously undecidable.

More loosely, decidable means capable of being settled or resolved: Whether to accept the offer felt barely decidable.

determinate

determinable

Able to be established

answerable · conclusive · definitive · unambiguous · clear-cut · established · definite · fixed · certain · knowable

computable

algorithmic

Following programmed steps

tractable · verifiable · satisfiable · halting · computability · terminating · effective · mechanical · automaton · regular

logical

provable

Able to be established

  • theoremDemonstrated logical conclusion
  • axiomSelf-evident starting principle
  • proofDemonstration of truth

predicate · consistency · inference · formalism · propositional · first-order · completeness · soundness · validity · tautology

Opposites
computability/solvability

decidableundecidable

Lacking possible proof

unsolvable · incomputable · non-computable · intractable

determinability

decidableundeterminable

Cannot be established

indeterminate · unresolvable · open · unsettled · ambiguous

Family

undecidable, decidability

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