@InProceedings{barbarossa_et_al:LIPIcs.CSL.2024.14, author = {Barbarossa, Davide and Pistone, Paolo}, title = {{Tropical Mathematics and the Lambda-Calculus I: Metric and Differential Analysis of Effectful Programs}}, booktitle = {32nd EACSL Annual Conference on Computer Science Logic (CSL 2024)}, pages = {14:1--14:23}, series = {Leibniz International Proceedings in Informatics (LIPIcs)}, ISBN = {978-3-95977-310-2}, ISSN = {1868-8969}, year = {2024}, volume = {288}, editor = {Murano, Aniello and Silva, Alexandra}, publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik}, address = {Dagstuhl, Germany}, URL = {https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CSL.2024.14}, URN = {urn:nbn:de:0030-drops-196577}, doi = {10.4230/LIPIcs.CSL.2024.14}, annote = {Keywords: Relational semantics, Differential lambda-calculus, Tropical semiring, Program metrics, Lawvere quantale} }