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Space hierarchy theorem

In computational complexity theory, the space hierarchy theorems are separation results that show that both deterministic and nondeterministic machines can solve more problems in (asymptotically) more space, subject to certain conditions. For example, a deterministic Turing machine can solve more decision problems in space n log n than in space n. The…

Corollaries, Refinement of space hierarchy & Comparison and improvements

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Corollaries

Natural numberNLPSPACEEXPSPACEPTIME
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Refinement of space hierarchy

TupleConstructible numberUniversal Turing machineDepth-first search
4 related topics

Comparison and improvements

Viliam GeffertComputableUnary language
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Proof

Immerman–Szelepcsényi theorem
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Refinement of space hierarchy

Corollaries

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Space hierarchy theorem

Nodes32
Edges31
Triples51
Avg. degree1.94
Density0.0625
Components1

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Space hierarchy theorem

Top relations

related to References · 36
Space hierarchy theorem → Addison Wesley, April, Arora, Automata, Barak, Berkeley, Boaz, Cambridge University Press, Christos, Complexity, Computability, Computation, Computational, Computational Complexity, CS172, February, Handout, Hierarchy, Hierarchy Theorems, Introduction
related to Corollary 5 · 12
Space hierarchy theorem → Corollary, CSL, DTIME, It, Kuroda's, LBA, Note, Now, NSPACE, SPACE, This, To
related to Comparison and improvements · 3
Space hierarchy theorem → However, It, The

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Important terminology

space displaystyle hierarchy time theorem space-constructible theorems mathsf machine log complexity deterministic functions using function computational turing problems also language

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SubjectPredicateObjectConfidenceSrc
Space hierarchy theoremrelated to Comparison and improvementsThe0.60section
Space hierarchy theoremrelated to Comparison and improvementsIt0.60section
Space hierarchy theoremrelated to Comparison and improvementsHowever0.60section
Space hierarchy theoremrelated to Corollary 5To0.60section
Space hierarchy theoremrelated to Corollary 5Now0.60section
Space hierarchy theoremrelated to Corollary 5DTIME0.60section
Space hierarchy theoremrelated to Corollary 5This0.60section
Space hierarchy theoremrelated to Corollary 5SPACE0.60section
Space hierarchy theoremrelated to Corollary 5Corollary0.60section
Space hierarchy theoremrelated to Corollary 5Note0.60section
Space hierarchy theoremrelated to Corollary 5It0.60section
Space hierarchy theoremrelated to Corollary 5NSPACE0.60section

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