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Explore a groundbreaking demonstration that translates Girard's paradox into electronic music using Soundproof, an innovative system for converting proof terms of dependently typed lambda calculus into musical compositions based on their tree structures. Discover methods for representing tree structures sonically and examine the various choices involved in translating mathematical proofs into auditory experiences. Learn about the intersection of formal logic, type theory, and musical composition through this unique approach to sonification. Understand how complex mathematical concepts can be expressed through sound and music, opening new possibilities for both mathematical understanding and artistic expression. This 23-minute conference presentation from FARM 2025 demonstrates practical applications of translating abstract mathematical structures into concrete musical forms, showcasing the creative potential of computational music generation from formal mathematical foundations.
