The study of quantitative risk in security systems is often based around complex and subtle mathematical ideas involving probabilities. The notations for these ideas can pose a communication barrier between collaborating researchers even when those researchers are working within a similar framework. This paper describes the use of geometrical representation and reasoning as a way to share ideas using the minimum of notation so as to build intuition about what kinds of properties might or might not be true. We describe a faithful geometrical setting for the channel model of quantitative information flow (QIF) and demonstrate how it can facilitate "proofs without words" for problems in the QIF setting.
@InProceedings{fernandes_et_al:LIPIcs.CSL.2022.2, author = {Fernandes, Natasha and McIver, Annabelle and Morgan, Carroll}, title = {{How to Develop an Intuition for Risk... and Other Invisible Phenomena}}, booktitle = {30th EACSL Annual Conference on Computer Science Logic (CSL 2022)}, pages = {2:1--2:14}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-218-1}, ISSN = {1868-8969}, year = {2022}, volume = {216}, editor = {Manea, Florin and Simpson, Alex}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2022.2}, URN = {urn:nbn:de:0030-drops-157227}, doi = {10.4230/LIPIcs.CSL.2022.2}, annote = {Keywords: Geometry, Quantitative Information Flow, Proof, Explainability, Privacy} }
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