KnowraComputable functionLinked fromLinked fromThe 15 pages that link to Computable function, each with the reason it gives.All 15Broader topic 1Related 7Narrower topic 7Church–Turing thesisBroader topic: The thesis equates effective calculability with computability in a formal model.Many-one reductionNarrower topic: The transforming map must be computable for the reduction to be effective.Constructive mathematicsRelated: Effective constructions often yield functions whose outputs can be computed.DecidabilityRelated: Deciders are computable procedures whose outputs encode yes or no.Universal Turing machineNarrower topic: Turing machines provide a formal model for computing such functions.DiagonalizationRelated: Computability limits are established by diagonalizing against proposed effective procedures.Deterministic algorithmRelated: A deterministic algorithm computes a function when its runs return the function’s values.Primitive recursive functionNarrower topic: Primitive recursive functions form a strict subclass of the total computable functions.Arithmetical hierarchyNarrower topic: Computable predicates provide the basic tests inside definitions at every level.ConstructivismRelated: Constructive existence often entails an effective procedure for finding the object claimed to exist.Kleene's recursion theoremNarrower topic: The theorem applies to effective transformations represented by computable operations on indices.Blum's speedup theoremNarrower topic: The theorem concerns programs computing one fixed computable function.CodeRelated: Computable translations between codes preserve effective information.S-m-n theoremNarrower topic: The theorem’s partial functions generalize this total, everywhere-defined case.Turing's proofRelated: A universal halting test would make the halting predicate computable.