1/27/2024 0 Comments Original tic tac toe my number![]() ![]() But the point of the multicomputational paradigm is to look globally at the consequences of all possible choices-and to produce a multiway graph that represents them. In any particular instance of the game, they’ll make a particular choice. And where the idea of multicomputation comes in is that there are usually several choices that they can make. Given a particular state of a game or puzzle, a player must typically decide what to do next. And the point is that this is directly related to how one can think about typical games and puzzles. But in a multicomputational system the key idea is that states can have multiple successors-and tracing their behavior defines a whole multiway graph of branching and merging threads of time. In an ordinary computational system each state of the system has a unique successor, and ultimately there is a single thread of time that defines a process of computation. And indeed one can view the very possibility of being able to have “interesting” games and puzzles as being related to a core phenomenon of multicomputation: multicomputational irreducibility. But the idea of multicomputation provides a link. One might not imagine that something as everyday as well-known games and puzzles would have any connection to the formalism for something like quantum mechanics. And I explore here what seems like a particularly good example: games and puzzles. But how can one get an intuition for what is initially the rather abstract idea of multicomputation? A good approach, I believe, is to see it in action in familiar systems and situations. Multicomputation is one of the core ideas of the Wolfram Physics Project-and in particular is at the heart of our emerging understanding of quantum mechanics.
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