String Diagrammatic Electrical Circuit Theory
Logic in Computer Science
2022-11-04 v2
Abstract
We develop a comprehensive string diagrammatic treatment of electrical circuits. Building on previous, limited case studies, we introduce controlled sources and meters as elements, and the impedance calculus, a powerful toolbox for diagrammatic reasoning on circuit diagrams. We demonstrate the power of our approach by giving idiomatic proofs of several textbook results, including the superposition theorem and Thevenin's theorem.
Keywords
Cite
@article{arxiv.2106.07763,
title = {String Diagrammatic Electrical Circuit Theory},
author = {Guillaume Boisseau and Paweł Sobociński},
journal= {arXiv preprint arXiv:2106.07763},
year = {2022}
}
Comments
In Proceedings ACT 2021, arXiv:2211.01102