In this discussion, Talia Ringer, an Assistant Professor at the University of Illinois Urbana-Champaign, shares her insights on formal verification and proof repair. She explains how proof repair automates the maintenance of formal proofs as software evolves. Talia also discusses the intersection of machine learning with proof engineering and highlights her academic journey from mathematics to software engineering. The conversation dives into the complexities of program verification and the role of theory in problem-solving within software development.