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  • Why is non-determinism a useful concept?
    Rather, nondeterminism is a useful concept when trying to understand computation For instance, we now know that, from a computability perspective, nondeterminism is not something more powerful than determinism, meaning that we can simulate a nondeterministic machine by using a deterministic one
  • Why nondeterminism? - Computer Science Stack Exchange
    Excellent question! Nondeterminism first appears (so it seems) in a classical paper of Rabin and Scott, Finite automata and their decision problems, in which the authors first describe finite automata as a better abstract model for digital computers than Turing machines, and then define several extensions of the basic model, including nondeterministic finite automata
  • nondeterminism - What does deterministic mean in the context of . . .
    At the time of writing, Wikipedia describes determinism as: "a deterministic algorithm is an algorithm which, given a particular input, will always produce the same output, with the underlying mac
  • nondeterminism - Can a nondeterministic Turing machine improve upon a P . . .
    $\begingroup$ @BjörnLindqvist I can't think of one OTOH, but there are presumably problems where you are searching through values (instead of array elements) to find an "interesting one" and nondeterminism can convert O(N) into O(log N) to branch to all the possible values at once, so instead of e g O(N^3) you could have O(N^2 logN) $\endgroup$
  • How do non-deterministic algorithms work on current machines?
    I have some questions regarding the exact nature of non-deterministic algorithms Is it right that non-deterministic algorithms do not rely on any randomness whatsoever? In which case, this Wikipedia
  • complexity theory - Power of Nondeterministic Machines - Computer . . .
    I am trying to understand the concept of nondeterminism in the context of computational complexity, particularly with reference to problems like PATH, which is in the class NL I have read that PAT
  • computability - What is the difference between quantum TM and . . .
    More modern treatments of nondeterminism also consider not just the existence, but the number of accepting paths; and this is well-suited to the description of exploring all paths in parallel We can impose extra constraints, for instance that all computational paths have the same length (that the machine always takes the same amount of time to
  • complexity theory - What is meant by solvable by non deterministic . . .
    Informally, the main difference between nondeterministic algorithms and the normal, deterministic, algorithms is that when provided with multiple choices to take, the deterministic solution will have to check one of them at a time in sequence while the nondeterministic version can cheat a bit
  • nondeterminism - Why do most scientists believe that P≠NP? - Computer . . .
    P≠NP seems to be a sort of "computational speed limit" or "no free lunch theorem" or "fundamental bottleneck" of which there are many other similar examples from many branches of science, mathematics, and even physics the amount of computation required to solve a SAT problem is exponential in all known algorithms, and there are many that have been invented over the years by top researchers





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