Magic: The Gathering Is Turing Complete

From Alex Churchill: In the discussion on this site I assemble a Universal Turing Machine from Magic: the Gathering cards. But doesn't Magic involve the players making lots of choices? Normally, yes, it does. But occasionally in normal gameplay you get a sequence of three or four events in a row that are forced to happen by the cards and the rules of the game. The machine below just extends this idea to millions of forced choices in a row. The idea of my Magic Turing machine is that the players do nothing at all, except when the game offers them a choice. Once the in-game "machine" has started, processing continues without requiring any choices from the players, with one category of exceptions: Some of the cards in the machine say "You may [do X]. If you do, [Y happens]." In these cases, the machine arranges that the players will be able to do X, in precisely one way. It just requires the players to always choose to take the game up on any options they're offered... (cont'd)

Records 1 to 1 of 1

Featured Product

Boston Dynamics Webinar - Why Humanoids Are the Future of Manufacturing

Boston Dynamics Webinar - Why Humanoids Are the Future of Manufacturing

Join us November 18th for this Webinar as we reflect on what we've learned by observing factory floors, and why we've grown convinced that chasing generalization in manipulation—both in hardware and behavior—isn't just interesting, but necessary. We'll discuss AI research threads we're exploring at Boston Dynamics to push this mission forward, and highlight opportunities our field should collectively invest more in to turn the humanoid vision, and the reinvention of manufacturing, into a practical, economically viable product.

Robotics and Automation - Featured Company

PDS / Precision Drive Systems

PDS / Precision Drive Systems

Over 40,000 Spindles Repaired or Rebuilt Since 1996. PDS is a global leader in spindle repairs and retrofits for precision metal and robotics applications. With over 40,000 spindles repaired to better than-new-condition. PDS also offers new spindles, CNC accessories, and Industry 4.0 spindle monitoring. With offices in Bessemer City, NC (near Charlotte) and Herford, Germany PDS backs superb craftsmanship with a standard 12 month warranty on repaired spindles and an optional, industry-leading 24 month PrecisionCare warranty.