Difference between revisions of "Curry-Howard-Lambek correspondence"

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=An Anectodal Reference=
=An Anectodal Reference=
[[Bob Coecke]] talking about [https://youtu.be/03ZPDyj8TtM?t=822 his encounter with Lambeck]<ref>{{:Video/Compositional Intelligence}}</ref>. He later developed a python library for [[NLP]] called:[[lambeq]]<ref>{{:Paper/lambeq: An Efficient High-Level Python Library for Quantum NLP}}</ref>
[[Bob Coecke]] talking about [https://youtu.be/03ZPDyj8TtM?t=822 his encounter with Lambeck]<ref>{{:Video/Compositional Intelligence}}</ref>. He later developed a python library for [[NLP]] called:[[lambeq]]<ref>{{:Paper/lambeq: An Efficient High-Level Python Library for Quantum NLP}}</ref>
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Revision as of 21:47, 19 April 2022

Curry-Howard-Lambek correspondence(Q110810925) is an extension of Curry-Howard correspondence.

By thinking about the correspondence between Proof, Programs, and Categories, we can see a circular triangle of data types that mutually serves and the Test Assertions, Proposed Programs, and Data Content in ordered relations, as a self-sufficient environment for software verification and validation cycle.

Analogies in other fields

Think about the following diagram and related it to Curry-Howard-Lambek correspondence.

Hermeneutic circle(Q1570095) is the recursive structure that represent the iterative nature of interpretation.

Note the three stages in the following diagram[1]:

  1. Configuration
  2. Refiguration
  3. Prefiguration
HermeneuticalCircle.png


An Anectodal Reference

Bob Coecke talking about his encounter with Lambeck[2]. He later developed a python library for NLP called:lambeq[3]




References

  1. Sangster, Alan (2021). "The Life and Works of Luca Pacioli (1446/7–1517), Humanist Educator". Abacus: A Journal of Accounting, Finance and Business Studies. local page: University of Sydney. 57.  , Figure 2
  2. Coecke, Bob (Feb 24, 2022). Bob Coecke: Compositional Intelligence. local page: Topos Institute. 
  3. Coecke, Bob (Oct 8, 2021). lambeq: An Efficient High-Level Python Library for Quantum NLP. local page: arXiv. 

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