Research any topic before you write.

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

HOL (proof assistant)

HOL (Higher Order Logic) denotes a family of interactive theorem proving systems using similar (higher-order) logics and implementation strategies. Systems in this family follow the LCF (Logic for Computable Functions) approach as they are implemented as a library which defines an abstract data type of proven theorems such that new objects of this type…

HOL implementations, Formal proof developments & Underlying logic

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 HOL (proof assistant). 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.

HOL implementations

Mike GordonCommon LispStandard MLCoupledMoscow ML
10 related topics

Formal proof developments

LispSemanticsMachine codePower ISAARM
5 related topics

Underlying logic

ClassicalIsabelle
2 related topics

Overview

Interactive theorem proving systemsHigher-order logicLCFAbstract data typeTheorems
7 related topics

Key facts & relationships

High-confidence facts extracted from structured source data. Use them as anchors for further research.

Designed by
Michael J C Gordon
Filename extensions
.sml
License
Modified (3-clause) BSD license

Topics to explore

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

Overview

Underlying logic

HOL implementations

Formal proof developments

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

HOL (proof assistant)

Nodes29
Edges28
Triples4
Avg. degree1.93
Density0.068966
Components1

How this topic connects Entity context

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

HOL (proof assistant)

Top relations

Designed by · 1
HOL (proof assistant) → Michael J C Gordon
Filename extensions · 1
HOL (proof assistant) → .sml
License · 1
HOL (proof assistant) → Modified (3-clause) BSD license
Website · 1
HOL (proof assistant) → hol-theorem-prover.org

Important terminology Word statistics

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

Important terminology

hol systems logic ml implementation implemented proven system family lcf top theorem proving higher-order theorems hol4 light use developed using

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
HOL (proof assistant)Designed byMichael J C Gordon1.00infobox
HOL (proof assistant)Filename extensions.sml1.00infobox
HOL (proof assistant)LicenseModified (3-clause) BSD license1.00infobox
HOL (proof assistant)Websitehol-theorem-prover.org1.00infobox

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.