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higher-order logic

form of predicate logic that is distinguished from first-order logic by additional quantifiers and, sometimes, stronger semantics
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higher-order logic

Summary

higher-order logic ranks in the top 2% of general entities by monthly Wikipedia readership (732 views/month).[1]

Key Facts

  • higher-order logic is a type of predicate logic[2].
  • higher-order logic's Stack Exchange tag is recorded as https://proofassistants.stackexchange.com/tags/higher-order-logic[3].

Body

Definition and Type

higher-order logic is a type of predicate logic[2].

Why It Matters

higher-order logic ranks in the top 2% of general entities by monthly Wikipedia readership (732 views/month).[1] It has Wikipedia articles in 12 language editions, a strong signal of global cultural recognition.[4] It is known by 5 alternative names across languages and contexts.[5]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] ↑ . wikidata.org.
  2. [3] ↑ . wikidata.org.

Aggregate / graph-position facts

  1. [1] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [4] ↑ . Wikidata sitelinks. wikidata.org.
  3. [5] ↑ . Wikidata aliases. wikidata.org.

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Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). higher-order logic. Retrieved April 11, 2026, from https://4ort.xyz/entity/higher-order-logic
MLA “higher-order logic.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/higher-order-logic.
BibTeX @misc{4ortxyz_higher-order-logic_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{higher-order logic}}, year = {2026}, url = {https://4ort.xyz/entity/higher-order-logic}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): higher-order logic — https://4ort.xyz/entity/higher-order-logic (retrieved 2026-04-11)

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Edit History

Rolling log of changes to this entity's Wikidata record. Values shown reflect the current state of each edited property — follow the history link to see the precise diff for any edit.

  1. 13h ago · Andre Engels · 2026-07-16 view diff on Wikidata ↗
    Mathematics subject classification id → 03B15
    Subclass of → —
    Aliases → —
    Subclass of → predicate logic
    + 1 other property edited (see Wikidata diff for full list)
    "/* wbsetclaim-create:1||1 */ [[Property:P3285]]: 03B16, Matched to [[:toollabs:mix-n-match/#/entry/298112651|Higher-order logic (#298112651)]] in [[:toollabs:mix-n-match/#/catalog/8156|Mathematics Sub"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.