time hierarchy theorem

GPTKB entity

Statements (15)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo deterministic Turing machines
nondeterministic Turing machines
gptkbp:citation https://en.wikipedia.org/wiki/Time_hierarchy_theorem
gptkbp:field theoretical computer science
https://www.w3.org/2000/01/rdf-schema#label time hierarchy theorem
gptkbp:implies P is a proper subset of EXP
gptkbp:provenBy gptkb:Richard_E._Stearns
Jurís Hartmanis
gptkbp:relatedTo space hierarchy theorem
gptkbp:sentence For any time-constructible function f(n), there exists a language decidable in O(f(n)) time but not in o(f(n)/log f(n)) time.
gptkbp:state more time allows more computational power for Turing machines
gptkbp:yearProved 1965
gptkbp:bfsParent gptkb:P_vs_EXPTIME
gptkbp:bfsLayer 6