Curry–Howard correspondence

the direct relationship between computer programs and mathematical proofs
Intangible mathematical_concept Q975734
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Curry–Howard correspondence

Summary

Curry–Howard correspondence is a mathematical concept[1]. It ranks in the top 4% of mathematical_concept entities by monthly Wikipedia readership (1,915 views/month).[2]

Key Facts

  • Curry–Howard correspondence's instance of is recorded as mathematical concept[3].
  • Curry–Howard correspondence's instance of is recorded as isomorphism[4].
  • Haskell Curry is named after Curry–Howard correspondence[5].
  • William Alvin Howard is named after Curry–Howard correspondence[6].
  • Curry–Howard correspondence's facet of is recorded as proof theory[7].
  • Curry–Howard correspondence's facet of is recorded as philosophy of computer science[8].
  • Curry–Howard correspondence's facet of is recorded as type theory[9].
  • Curry–Howard correspondence's Stack Exchange tag is recorded as https://stackoverflow.com/tags/curry-howard[10].

Body

Definition and Type

Recorded instance of include mathematical concept[3] and isomorphism[4].

Origins

Things named after include Haskell Curry[5], a mathematician[11], 1900–1982[12], of United States[13] and William Alvin Howard[6], a mathematician[14], b. 1926[15], of United States[16], awarded the Fellow of the American Mathematical Society[17], specialised in proof theory[18].

Why It Matters

Curry–Howard correspondence ranks in the top 4% of mathematical_concept entities by monthly Wikipedia readership (1,915 views/month).[2] It has Wikipedia articles in 14 language editions, a strong signal of global cultural recognition.[19] It is known by 29 alternative names across languages and contexts.[20]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.

Inline context (facts about related entities)

  1. [11] . Wikidata. wikidata.org. → on this site
  2. [12] . Wikidata. wikidata.org. → on this site
  3. [13] . Wikidata. wikidata.org. → on this site
  4. [14] . Wikidata. wikidata.org. → on this site
  5. [15] . Wikidata. wikidata.org. → on this site
  6. [16] . Wikidata. wikidata.org. → on this site
  7. [17] . Wikidata. wikidata.org. → on this site
  8. [18] . Wikidata. wikidata.org. → on this site

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [19] . Wikidata sitelinks. wikidata.org.
  3. [20] . Wikidata aliases. wikidata.org.

📑 Cite this page

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). Curry–Howard correspondence. Retrieved May 3, 2026, from https://4ort.xyz/entity/curry-howard-correspondence
MLA “Curry–Howard correspondence.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/curry-howard-correspondence.
BibTeX @misc{4ortxyz_curry-howard-correspondence_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Curry–Howard correspondence}}, year = {2026}, url = {https://4ort.xyz/entity/curry-howard-correspondence}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Curry–Howard correspondence — https://4ort.xyz/entity/curry-howard-correspondence (retrieved 2026-05-03)

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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. 9d ago · Twofivesixbot bot · 2026-05-26 view diff on Wikidata ↗
    Instance of mathematical concept, isomorphism
    Aliases
    Named after Haskell Curry, William Alvin Howard
    Named after
    + 2 other properties edited (see Wikidata diff for full list)
    "/* wbsetclaim-update-qualifiers:1||1|3 */ [[Property:P8189]]: 987007532525705171, mv to monolingual text names on J9U statements"
Live feed via Wikidata EventStreams. New edits appear within minutes of being made on Wikidata.