Research any topic before you write.

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

Intuitionistic type theory

Intuitionistic type theory (also known as constructive type theory, or Martin-Löf type theory (MLTT)) is a type theory and an alternative foundation of mathematics. Intuitionistic type theory was created by Per Martin-Löf, a Swedish mathematician and philosopher, who first published it in 1972. There are multiple versions of the type theory: Martin-Löf…

Art, Type theory & Extensional versus intensional

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 Intuitionistic type theory. 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

Design

Type theory

Categorical models of type theory

Extensional versus intensional

Implementations of type theory

Martin-Löf type theories

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

Intuitionistic type theory

Nodes84
Edges83
Triples68
Avg. degree1.98
Density0.02381
Components1

How this topic connects Entity context

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

Intuitionistic type theory

Top relations

related to Further reading · 21
Intuitionistic type theory → Addison-Wesley, Bengt, Functional Programming, Giovanni Sambin, Granström, ISBN, Jan, Johan, Kent, Martin-Löf's Type Theory, Nordström, Oxford University Press, Per Martin-Löf's Notes, Petersson, Programming, Simon, Smith, Springer, Thompson, Treatise
related to Judgements · 12
Intuitionistic type theory → At, English-language, For, It, Lastly, Martin-Löf, SSSS0, Synonyms, Terms, The, There, This
related to Design · 11
Intuitionistic type theory → BHK, Constructivism, Curry, For, Howard, Intuitionistic, Martin-Löf, Martin-Löf's, Prior, So, This
related to References · 10
Intuitionistic type theory → Bibliopolis, Giovanni, Intuitionistic, ISBN, Martin-Löf, Napoli, OCLC, PDF, Per, Sambin
related to Type theory · 5
Intuitionistic type theory → Frege's, In, Intuitionistic, So, Unlike
related to = type constructor · 4
Intuitionistic type theory → Given, In, The, Thus

Important terminology Word statistics

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

Important terminology

type theory displaystyle types term martin-löf intuitionistic also proof terms objects mathbb dependent inductive mathbin first example extensional canonical written

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
ATSinstance ofDependent types also feature in the design of programming languages0.80text
Cayenneinstance ofDependent types also feature in the design of programming languages0.80text
Epigraminstance ofDependent types also feature in the design of programming languages0.80text
Agdainstance ofDependent types also feature in the design of programming languages0.80text
and Idrisinstance ofDependent types also feature in the design of programming languages0.80text
Intuitionistic type theoryrelated to = type constructorGiven0.60section
Intuitionistic type theoryrelated to = type constructorThe0.60section
Intuitionistic type theoryrelated to = type constructorThus0.60section
Intuitionistic type theoryrelated to = type constructorIn0.60section
Intuitionistic type theoryrelated to DesignMartin-Löf0.60section
Intuitionistic type theoryrelated to DesignConstructivism0.60section
Intuitionistic type theoryrelated to DesignSo0.60section

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.