OASIcs.EVCS.2023.24.pdf
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A Simply Numbered Lambda Calculus
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Friedrich Steimann 
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Eelco Visser Commemorative Symposium (EVCS 2023)
Series: Open Access Series in Informatics (OASIcs)
Conference: Eelco Visser Commemorative Symposium (EVCS) - License:
Creative Commons Attribution 4.0 International license
- Publication Date: 2023-03-21
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Acknowledgements
I thank Sebastian Erdweg for the joint exploration of a lambda calculus with plural terms on the last day of https://www.dagstuhl.de/21183. My anonymous reviewers greatly helped improve this paper. I am forever grateful for the friendliness and collegiality of Eelco Visser that I enjoyed.
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Friedrich Steimann. A Simply Numbered Lambda Calculus. In Eelco Visser Commemorative Symposium (EVCS 2023). Open Access Series in Informatics (OASIcs), Volume 109, pp. 24:1-24:12, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2023)
https://doi.org/10.4230/OASIcs.EVCS.2023.24
https://doi.org/10.4230/OASIcs.EVCS.2023.24
Abstract
While programming languages traditionally lean towards functions, query languages are often relational in character. Taking the relations language of Harkes and Visser as a starting point, I explore how the functional paradigm, represented by the lambda calculus, can be extended to form the basis of a relational language. It turns out that a straightforward extension with strings of terms not only supports surprisingly many features of the relations language, but also opens it up for higher-order relations, one prominent feature the relations language does not offer.
Subject Classification
ACM Subject Classification
- Software and its engineering → Multiparadigm languages
- Theory of computation → Functional constructs
Keywords
- multiplicities
- strings
- lambda calculus
- relational programming
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References
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