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Explore advanced cryptographic proof systems in this conference session from Crypto 2025, chaired by Aarushi Goel and presented by TheIACR. Delve into cutting-edge research and developments in proof system methodologies, examining the latest theoretical foundations and practical applications in cryptography. Learn about innovative approaches to constructing and analyzing proof systems, including recent breakthroughs in zero-knowledge proofs, interactive proof protocols, and their security properties. Gain insights into the mathematical frameworks underlying modern proof systems and their implications for cryptographic protocol design. Access comprehensive materials including research papers and presentation slides to deepen your understanding of the presented topics and their significance in the broader cryptographic landscape.