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HOL (proof assistant): HOL implementations, Formal proof developments & Underlying logic

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…

Language: English [EN]
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HOL (proof assistant) topic overview

The analysis highlights HOL implementations, Formal proof developments and Underlying logic as prominent areas in the source structure around HOL (proof assistant).

Related topics
24
Source areas
4
Connected nodes
28
Extracted relationships
4
Concept neighborhoods
20
Bridge connections
28

What this topic covers Research coverage

Source areas are shown by the number of related topics found in each part of the analysis. Use smaller areas too: they can reveal specialized angles and content gaps.

HOL implementations · 10 topics
Overview · 7 topics
Formal proof developments · 5 topics
Underlying logic · 2 topics

Smaller areas are not necessarily less important. They contain fewer connections in this analysis and can be useful for finding specialized angles or coverage gaps.

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

Explore all related topics Closing gaps

Browse the complete topic structure, not only the most central items. Less prominent entities and concepts can reveal missing angles, specialized context and useful research gaps. 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.

How HOL (proof assistant) connects Entity context

The extracted context around HOL (proof assistant) shows recurring relationship patterns in the source. For example, HOL (proof assistant) → Michael J C Gordon Another extracted example is HOL (proof assistant) → .sml. Use these groups to spot repeated connection types before inspecting the individual relationships.

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

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

HOL (proof assistant) relationships Subject–Predicate–Object triples

TTTA extracted 4 structured relationships around HOL (proof assistant). Examples in this analysis include HOL (proof assistant) → Designed by → Michael J C Gordon and HOL (proof assistant) → Filename extensions → .sml. The table shows each extracted connection, where it came from and its confidence.

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

The concept neighborhoods around HOL (proof assistant) bring nearby vocabulary together. In this analysis, examples include Implementation, Light and Logic. Use the clusters to find adjacent concepts and terminology that may deserve separate research.

  • HOL (proof assistant)
    • Implementation
    • Light
    • Logic
    • Systems
    • Use
    • Used
    • Arm
    • Designed
    • Semantics
    • Bsd
    • Family
    • Formal
  • hol (proof assistant)
    • Implementation
    • Light
    • Logic
    • Systems
    • Use
    • Used
    • Arm
    • Designed
    • Semantics
    • Bsd
    • Family
    • Formal
  • interactive theorem proving systems
    • Theorem
    • Use
    • Ml
    • Using
    • Developed
    • Gordon
    • Hol88
    • Large
    • Lcf
    • Originally
    • Systems
    • Hol4
  • higher-order logic
    • Using
    • Logic
    • Systems
    • Library
    • Formal
    • Gordon
    • Use
    • Designed
    • Functions
    • Hol4
    • Michael
    • New
  • hol light
    • Implementation
    • Light
    • Logic
    • Systems
    • Cakeml
    • New
    • Originally
    • Use
    • Used
    • Simple
    • Top
    • Arm
  • underlying logic
    • Systems
    • Library
    • Using
    • Formal
    • Gordon
    • Use
    • Hol4
    • System
    • Implementation
    • Designed
    • Functions
    • Michael
  • hol implementations
    • Implementation
    • Light
    • Logic
    • Systems
    • Use
    • Used
    • Arm
    • Designed
    • Semantics
    • Bsd
    • Family
    • Formal
  • formal proof developments
    • Designed
    • Specification
    • Logic
    • Library
    • Michael
    • Semantics
    • Bsd
    • Gordon
    • Higher-order
    • License
    • Simple
    • Use

Connections between topic areas Semantic bridges

For HOL (proof assistant), one of the stronger structural bridges in this analysis connects HOL (proof assistant) with HOL implementations. Bridges highlight paths between different parts of the map and can reveal research angles that are easy to miss in a flat list.

Min side: 3
HOL (proof assistant) — HOL implementations · splits 18 ⟂ 11
HOL (proof assistant) — Overview · splits 21 ⟂ 8
HOL (proof assistant) — Formal proof developments · splits 23 ⟂ 6
HOL (proof assistant) — Underlying logic · splits 26 ⟂ 3

Map overview Semantic statistics

HOL (proof assistant)

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

Source & methodology

TTTA analyzes the structure around HOL (proof assistant) to surface related topics, entities, relationships, concept neighborhoods and bridge connections. Use the map to explore areas such as HOL implementations, Formal proof developments & Underlying logic, including less central topics that may reveal useful research gaps. Automatically extracted connections are research leads rather than rewritten encyclopedia content.

Source: Wikipedia — HOL (proof assistant) · EN edition · Analysis: TopicsToTalkAbout

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