Explore a research session investigating the famous halting problem using OpenAI's o3 model and discover how theoretical computer science concepts can inspire practical application development. Delve into the fundamental computational theory question of whether it's possible to determine if a program will halt or run forever, while examining how advanced AI systems approach this classic problem in computer science. Learn about the connections between abstract mathematical concepts and real-world software development as the presenter shares insights from their collaborative research with o3 and discusses how this exploration led to a new app concept. Gain access to the complete research conversation and discover additional resources including related podcast content that originally sparked this investigation into one of computer science's most significant theoretical challenges.