decidability
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undecidabilityalgorithmcomputabilitylogictheoremproofrecursionaxiominferencedeductioncalculationprocedurehalting problemcomplexitycomputablerecursivebooleanpredicatequantifiervalidityconsistencycompletenesssoundnesssyntaxsemanticslanguagealphabetstringautomatonstate machinegrammardecidableundecidableoraclereductionmappingfunctionset theoryarithmeticcalculuspropositiontruthfalsehooddiscrete mathematicsmathematicscomputer sciencecomplexity classdeterminismverificationvalidationunprovableheuristicoptimizationiteration