Slide 1Has There Been Progress on the P vs. NP Question? Scott Aaronson (MIT) Slide 2 P vs. NP: I Assume Youve Heard of It Frank Wilczek (Physics Nobel 2004) was recently…

Slide 1NP-complete Problems and Physical Reality Scott Aaronson Institute for Advanced Study Slide 2 What could we do if we could solve NP-complete problems? Proof of Riemann…

Slide 1Scott Aaronson BQP und PH A tale of two strong-willed complexity classes… A 16-year-old quest to find an oracle that separates them… A solution at lastbut only…

Slide 1Scott Aaronson (MIT) BQP and PH A tale of two strong-willed complexity classes… A 16-year-old quest to find an oracle that separates them… A solution at lastbut…

Slide 1 Krishnendu Chatterjee and Laurent Doyen Slide 2 Energy parity games are infinite two-player turn-based games played on weighted graphs. The objective of the game…

Lecture 6 NP Class P = ? NP = ? PSPACE They are central problems in computational complexity. If P = NP, then NP-complete P Ladner Theorem If NP ≠ P, then there exists…

Energy Parity Games Energy Parity Games Krishnendu Chatterjee and Laurent Doyen Energy parity games are infinite two-player turn-based games played on weighted graphs. The…

Slide 1 Complexity Classes Kang Yu 1 Slide 2 NP NP : nondeterministic polynomial time NP-complete : 1.In NP (can be verified in polynomial time) 2.Every problem in NP is…