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Automating Resolution is NP-Hard
YouTube·IEEE FOCS: Foundations of Computer Science
Explore a comprehensive lecture on the complexity of automating resolution in propositional logic, presented by Albert Atserias and Moritz Müller at an IEEE conference. Delve into the historical context of the 2000s, understand the definition and examples of resolution, and examine the proof search problem. Investigate the proof system hierarchy, positive and negative results in the field, and a new construction technique. Learn about the reflection principle and its application to proof systems. Conclude with a recap of key concepts, lower boundary considerations, and engage with a quick question to reinforce understanding of this challenging topic in computational complexity theory.