Research any topic before you write.

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

Constructible function

In complexity theory, a time-constructible function is a function f from natural numbers to natural numbers with the property that f(n) can be constructed from n by a Turing machine in the time of order f(n). The purpose of such a definition is to exclude functions that do not provide an upper bound on the runtime of some Turing machine.

Applications & Standards

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 Constructible function. 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.

Applications

Time hierarchy theoremSpace hierarchy theorem
2 related topics

Time-constructible

Unary representationBinary representation
2 related topics

Properties

Computable function
1 related topics

Overview

Complexity theoryNatural numbersTuring machineOf order
4 related topics

Topics to explore

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

Overview

Time-constructible

Properties

Applications

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

Constructible function

Nodes14
Edges13
Triples13
Avg. degree1.86
Density0.142857
Components1

How this topic connects Entity context

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

Constructible function

Top relations

has application · 7
Constructible function → Space-constructible, Such, They, This, Time-constructible, To, Turing
related to Fully time-constructable · 4
Constructible function → The, There, This, Turing
is a · 1
Constructible function → function f from natural numbers to natural numbers with the property that f

Important terminology Word statistics

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

Important terminology

displaystyle time-constructible turing function machine functions space-constructible time used definition fully called exists theorem halts steps two natural constructed finitely

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Constructible functionis afunction f from natural numbers to natural numbers with the property that f0.90text
the time hierarchy theoreminstance ofApplicationsTime-constructible functions are used in results from complexity theory0.80text
Constructible functionhas applicationTime-constructible0.60section
Constructible functionhas applicationThey0.60section
Constructible functionhas applicationTuring0.60section
Constructible functionhas applicationThis0.60section
Constructible functionhas applicationSuch0.60section
Constructible functionhas applicationTo0.60section
Constructible functionhas applicationSpace-constructible0.60section
Constructible functionrelated to Fully time-constructableThere0.60section
Constructible functionrelated to Fully time-constructableTuring0.60section
Constructible functionrelated to Fully time-constructableThis0.60section

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.