Polynomial space

GPTKB entity

Statements (77)
Predicate Object
gptkbp:instanceOf Complexity class
gptkbp:abbreviation gptkb:PSPACE
gptkbp:characterizedBy Alternating polynomial time (AP = PSPACE)
Polynomial space Turing machine
Problems solvable with polynomial space
gptkbp:closure_property gptkb:Kleene_star
gptkb:intersection
Union
complement
gptkbp:complete_problem gptkb:TQBF
gptkbp:contains gptkb:IP
gptkb:MA
gptkb:AM
gptkb:QMA
gptkb:BPL
gptkb:co-NP
gptkb:PSPACE/poly
gptkb:QBF
gptkb:QIP
P
L
NL
NP
PH
PL
SL
RL
PSPACE-complete
PSPACE-hard
ZPL
NPSPACE
co-NL
PSPACE/log
QSPACE
co-L
gptkbp:definedIn Technical Machine
gptkbp:equivalentTo NPSPACE (by Savitch's theorem)
gptkbp:example gptkb:QBF
gptkb:TQBF
Model checking
Games with perfect information
Generalized geography
Word problem for linear bounded automata
gptkbp:hasWikipediaPage https://en.wikipedia.org/wiki/PSPACE
https://www.w3.org/2000/01/rdf-schema#label Polynomial space
gptkbp:introduced 1970s
gptkbp:namedAfter polynomial space bound
gptkbp:open_question gptkb:PSPACE_vs_EXPTIME
PSPACE vs NP
gptkbp:PSPACE-complete_problem gptkb:QBF
gptkb:TQBF
Model checking
Games with perfect information
Generalized geography
Quantified Boolean formula
Word problem for linear bounded automata
gptkbp:relatedTo gptkb:QMA
gptkb:EXPTIME
gptkb:co-NP
gptkb:Savitch's_theorem
gptkb:QIP
P
L
NL
NP
PH
EXPSPACE
Alternating Turing machine
Interactive proof systems
QSPACE
Space hierarchy theorem
Time hierarchy theorem
gptkbp:resource_bound space
gptkbp:resource_bound_type gptkb:algebra
gptkbp:studiedBy theoretical computer science
gptkbp:bfsParent gptkb:Vector_spaces
gptkbp:bfsLayer 7