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- Time_hierarchy_theorem abstract "In computational complexity theory, the time hierarchy theorems are important statements about time-bounded computation on Turing machines. Informally, these theorems say that given more time, a Turing machine can solve more problems. For example, there are problems that can be solved with n2 time but not n time.The time hierarchy theorem for deterministic multi-tape Turing machines was first proven by Richard Stearns and Juris Hartmanis in 1965. It was improved a year later when F. C. Hennie and Richard Stearns improved the efficiency of the Universal Turing machine. Consequent to the theorem, for every deterministic time-bounded complexity class, there is a strictly larger time-bounded complexity class, and so the time-bounded hierarchy of complexity classes does not completely collapse. More precisely, the time hierarchy theorem for deterministic Turing machines states that for all time-constructible functions f(n),.The time hierarchy theorem for nondeterministic Turing machines was originally proven by Stephen Cook in 1972. It was improved to its current form via a complex proof by Joel Seiferas, Michael Fischer, and Albert Meyer in 1978. Finally in 1983, Stanislav Žák achieved the same result with the simple proof taught today. The time hierarchy theorem for nondeterministic Turing machines states that if g(n) is a time-constructible function, and f(n+1) = o(g(n)), then.The analogous theorems for space are the space hierarchy theorems. A similar theorem is not known for time-bounded probabilistic complexity classes, unless the class also has advice.".
- Time_hierarchy_theorem wikiPageID "184120".
- Time_hierarchy_theorem wikiPageRevisionID "603203338".
- Time_hierarchy_theorem hasPhotoCollection Time_hierarchy_theorem.
- Time_hierarchy_theorem subject Category:Articles_containing_proofs.
- Time_hierarchy_theorem subject Category:Structural_complexity_theory.
- Time_hierarchy_theorem subject Category:Theorems_in_computational_complexity_theory.
- Time_hierarchy_theorem type Abstraction100002137.
- Time_hierarchy_theorem type Communication100033020.
- Time_hierarchy_theorem type Message106598915.
- Time_hierarchy_theorem type Proposition106750804.
- Time_hierarchy_theorem type Statement106722453.
- Time_hierarchy_theorem type Theorem106752293.
- Time_hierarchy_theorem type TheoremsInDiscreteMathematics.
- Time_hierarchy_theorem comment "In computational complexity theory, the time hierarchy theorems are important statements about time-bounded computation on Turing machines. Informally, these theorems say that given more time, a Turing machine can solve more problems. For example, there are problems that can be solved with n2 time but not n time.The time hierarchy theorem for deterministic multi-tape Turing machines was first proven by Richard Stearns and Juris Hartmanis in 1965. It was improved a year later when F. C.".
- Time_hierarchy_theorem label "Teorema de hierarquia de tempo".
- Time_hierarchy_theorem label "Teorema de la jerarquía temporal".
- Time_hierarchy_theorem label "Time hierarchy theorem".
- Time_hierarchy_theorem label "時間譜系理論".
- Time_hierarchy_theorem sameAs Teorema_de_la_jerarquía_temporal.
- Time_hierarchy_theorem sameAs Teorema_de_hierarquia_de_tempo.
- Time_hierarchy_theorem sameAs m.0194wb.
- Time_hierarchy_theorem sameAs Q5251122.
- Time_hierarchy_theorem sameAs Q5251122.
- Time_hierarchy_theorem sameAs Time_hierarchy_theorem.
- Time_hierarchy_theorem wasDerivedFrom Time_hierarchy_theorem?oldid=603203338.
- Time_hierarchy_theorem isPrimaryTopicOf Time_hierarchy_theorem.