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Rocq N'Roll - Software Instrument for Converting Type Proofs to Music

ACM SIGPLAN via YouTube

Overview

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Explore a groundbreaking software instrument that transforms mathematical proof tactics into musical compositions through this 20-minute conference demonstration. Discover how Rocq N'Roll parses Rocq proof tactics into MIDI notes, generating musical sounds that correspond to proof states and creating complex chords and melodies from automated proof tactics. Learn about the interactive "performance" process where stepping through proofs generates pitches that reflect each proof step, with more sophisticated musical elements emerging from multi-operation tactics. Examine the dual nature of this innovative tool as both an artistic instrument for creative expression and a potential educational aid for helping Rocq users better understand proof deautomation concepts. Gain insights into the intersection of formal verification, interactive theorem proving, and musical composition through this unique approach to making mathematical proofs audible and engaging.

Syllabus

[FARM'25] Rocq N'Roll

Taught by

ACM SIGPLAN

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