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Types, equations, dimensions and the Pi theorem
August 16, 2023 Β· Declared Dead Β· π arXiv.org
"No code URL or promise found in abstract"
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Authors
Nicola Botta, Patrik Jansson
arXiv ID
2308.09481
Category
cs.PL: Programming Languages
Cross-listed
cs.LO
Citations
0
Venue
arXiv.org
Last Checked
4 months ago
Abstract
The languages of mathematical physics and modelling are endowed with a rich ``grammar of dimensions'' that common abstractions of programming languages fail to represent. We propose a dependently typed domain-specific language (embedded in Idris) that captures this grammar. We apply it to explain basic notions of dimensional analysis and Buckingham's Pi theorem. We hope that the language makes mathematical physics more accessible to computer scientists and functional programming more palatable to modellers and physicists.
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