Last week we submitted a paper to JFP about dimension analysis in a (dependently) typed functional language (like Idris or Agda). It is also available (as a pre-print) on arXiv.
arXiv: 2308.09481 Authors: N. Botta, P. Jansson, G. da Silva 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 modelers and physicists.