[RocqPL'26] Formalizing a First-order Differentiable Logic with MathComp скачать в хорошем качестве

[RocqPL'26] Formalizing a First-order Differentiable Logic with MathComp

Formalizing a First-order Differentiable Logic with MathComp (Video, RocqPL 2026) Jairo Miguel Marulanda-Giraldo (University of Southampton) Abstract: Differentiable logics (DLs) have increasingly been applied for safe machine learning. In particular, they are useful for giving programming language support to property-driven training. Yet, current DLs either lack important logical properties or hinder model performance. In this project, we develop and study a well-behaved first-order DL designed for safe machine learning, leveraging MathComp’s analysis libraries. To this end, we extend and generalize MathComp with a theory of exponentials and Hölder’s inequality for extended real numbers. Presentation at the RocqPL 2026 workshop, Jan 17, 2026, https://popl26.sigplan.org/home/rocqp... Sponsored by ACM SIGPLAN.