Research any topic before you write.

Find related topics. | Discover entities. | See connections. | Build a topical map.

PSPACE

In computational complexity theory, PSPACE is the set of all decision problems that can be solved by a Turing machine using a polynomial amount of space.

Characters, Other characterizations & Relation among other classes

Use the mouse wheel or two fingers (on touchscreens) to zoom in and out of the map.

Research this topic

Explore the main themes, entities and connections around PSPACE. Start with the topic map, then use the sections below for research and deeper semantic analysis.

Explore this topic

Start with a few of the strongest sections from the source topic. These are research directions, not a list of keywords you must use.

Topics to explore

Browse the full topic structure. Each item opens a new analysis centered on that subject.

Overview

Formal definition

Relation among other classes

Closure properties

Other characterizations

PSPACE-completeness

Advanced semantic analysis

Deeper signals for content research, entity SEO and topical coverage. The plain-language headings explain what each technical view is useful for.

Map overview Semantic statistics

PSPACE

Nodes38
Edges37
Triples52
Avg. degree1.95
Density0.052632
Components1

How this topic connects Entity context

See the strongest relationship patterns around the current topic before diving into the raw triples.

PSPACE

Top relations

related to Further reading · 19
PSPACE → Addison Wesley, CC, Chapter, Christos, Complexity Zoo, Computation, Computational Complexity, Introduction, ISBN, Michael, Papadimitriou, Polynomial, Ryan, Simulating Time With Square-Root, Sipser, Space, Space ComplexityWilliams, Theory, Thomson Course Technology
related to Formal definition · 8
PSPACE → Also, Because, If, It, NPSPACE, Savitch's, SPACE, Turing
related to Relation among other classes · 8
PSPACE → EXPSPACE, EXPTIME, From, It, NL, NP, PH, The
related to PSPACE-completeness · 7
PSPACE → An, Boolean, Finding, PSPACE-complete, PSPACE-hard, QBF, TQBF
related to Other characterizations · 6
PSPACE → An, AP, APTIME, It, PH, Turing
is a · 2
PSPACE → set of all decision problems that can be solved by a Turing machine using a polynomial amount of space, set of problems decidable by an alternating Turing machine in polynomial time
related to Closure properties · 2
PSPACE → Kleene, The

Important terminology Word statistics

Use these terms to understand the vocabulary surrounding the topic, not as a checklist for keyword stuffing.

Important terminology

problems complexity space pspace-complete set displaystyle theory turing machine polynomial computational using isbn closure mathsf theorem strict follows class language

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
PSPACEis aset of all decision problems that can be solved by a Turing machine using a polynomial amount of space0.90text
PSPACEis aset of problems decidable by an alternating Turing machine in polynomial time0.90text
PSPACErelated to Closure propertiesThe0.60section
PSPACErelated to Closure propertiesKleene0.60section
PSPACErelated to Formal definitionIf0.60section
PSPACErelated to Formal definitionSPACE0.60section
PSPACErelated to Formal definitionTuring0.60section
PSPACErelated to Formal definitionIt0.60section
PSPACErelated to Formal definitionBecause0.60section
PSPACErelated to Formal definitionSavitch's0.60section
PSPACErelated to Formal definitionNPSPACE0.60section
PSPACErelated to Formal definitionAlso0.60section

Related concept clusters Concept neighborhoods

These clusters group vocabulary that occurs around closely connected concepts in the source material.

    Connections between topic areas Semantic bridges

    Bridges can reveal useful research angles that are easy to miss in a flat list of related terms.

    Min side: 3
    For writers, content strategists, SEOs, marketers and creators — from quick topic research to advanced semantic analysis.