Unlocking the Mystery Behind Thousands of Unsolved Math Problems & NP-Completeness 🔍

Get Nebula using my link for 40% off an annual subscription: https://go.nebula.tv/upandatom Watch my exclusive video on the SAT to clique reduction: https://nebula.tv/videos/upandatom-sat-to-clique-reduction-bonus-video-from-npcompleteness Hi! I'm Jade. If you'd like to consider supporting Up and Atom, head over to my Patreon page :) https://www.patreon.com/upandatom Visit the Up and Atom store https://store.nebula.app/collections/up-and-atom Subscribe to Up and Atom for physics, math and computer science videos https://www.youtube.com/c/upandatom For a one time donation, head over to my PayPal :) https://www.paypal.me/upandatomshows *Videos Mentioned* Turing Machines https://youtu.be/PLVCscCY4xI P vs NP https://youtu.be/EHp4FPyajKQ Deep dives into the Cook-Levin Theorem https://youtu.be/6Az1gtDRaAU https://youtu.be/LW_37i96htQ *Sources and Further Reading* The complexity of theorem proving procedures - Stephen Cook Universal search problems - Leonid Levin Reducibility Among Combinatorial Problems - Richard Karp The Nature of Computation - Christopher Moore *A big thank you to my AMAZING PATRONS!* Jonathan Koppelman, Michael Seydel, Cy 'kkm' K'Nelson, Thorsten Auth, Tim Barnard, AndrewA, Izzy Ca, Millennial Glacier, Richard O McEwen Jr, Scott Ready, John H. Austin, Jr., Brian Wilkins, Thomas V Lohmeier, David Johnston, Thomas Krause, Lynn Shackelford, Ave Eva Thornton, Andrew Pann, Anne Tan, Larry Nixon, Ben Mitchell, Steve Archer, Luna Sophia, Viktor Lazarevich, Keith Lazarus, Tyler Simms, Michael Geer, James Mahoney, Jim Felich, Fabio Manzini, Jeremy, Sam Richardson, Robin High, KiYun Roe, DONALD McLeod, Ron Hochsprung, Aria Bend, James Matheson, Kevin Anderson, Alexander230, Tim Ludwig, Alexander Del Toro Barba, Justin Smith, A. Duncan, Mark Littlehale, Tony T Flores, Dagmawi Elehu, Jeffrey Smith, Alex Hackman, bpatb, Joel Becane, Paul Barclay, 12tone, Sergey Ten, Damien Holloway, John Lakeman, Jana Christine Saout, Jeff Schwarz, Yana Chernobilsky, Louis Mashado, Michael Dean, Chris Amaris, Matt G, Dag-Erling Smørgrav, John Shioli, Todd Loreman, Susan Jones, Kent Arimura, Phillip Rhodes, Michael Nugent, James N Smith, Roland Gibson, Joe McTee, Dean Fantastic, Bernard Pang, Oleg Dats, Max Isenholt, John Spalding, Simon J. Dodd, Tang Chun, Michelle, Richard Vallender, William Toffey, Michel Speiser, Rigid Designator, James Horsley, Craig Tumblison, Cameron Tacklind, 之元 丁, Kevin Chi, Paul Blanchard, Lance Ahmu, Tim Cheseborough, Markus Lindström, Steve Watson, Midnight Skeptic, Dexter Scott, Potch, Indrajeet Sagar, Markus Herrmann (trekkie22), Gil Chesterton, Alipasha Sadri, Pablo de Caffe, Taylor Hornby, Mark Fisher, Colin Byrne, Nick H, Jesper de Jong, Loren Hart, Sofia Fredriksson, Phat Hoang, Spuddy, Sascha Bohemia, tesseract, Stephen Britt, KG, Hansjuerg Widmer, John Sigwald, O C, Carlos Gonzalez, Res, Thomas Kägi, James Palermo, Chris Teubert, Fran, Robert J Frey, Wolfgang Ripken, Jeremy Bowkett, Vincent Karpinski, Nicolas Frias, Louis M, kadhonn, Moose Thompson, Rick DeWitt, Andrew, Pedro Paulo Vezza Campos, S, Rebecca Lashua, Pat Gunn, George Fletcher, RobF, Vincent Seguin, Shawn, Israel Shirk, Jesse Clark, Steven Wheeler, Philip Freeman, Jareth Arnold, Simon Barker, Lou, and Simon Dargaville. Creator - Jade Tan-Holmes Script - Jade Tan-Holmes and Simon Mackenzie Guest Speakers - Simon Mackenzie and Matjaz Leonardis Animations - Tom Greonestyn Music - epidemicsound.com Sound Effects - Standard Productions