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- Why is non-determinism a useful concept?
Crucially, every outcome the nondeterministic algorithm produces is valid, regardless of which choices the algorithm makes while running A large number of problems can be conceptualized through nondeterministic algorithms, including the most famous unresolved question in computing theory, P vs NP
- What is the difference between non-determinism and randomness?
A nondeterministic TM is actually deterministic in the physics sense--that is to say, an NTM always produces the same answer on a given input: it either always accepts, or always rejects A probabilistic TM will accept or reject an input with a certain probability, so on one run it might accept and on another it might reject
- Differences and relationships between randomized and nondeterministic . . .
A nondeterministic algorithm is an algorithm that can exhibit different behaviors on different runs, as opposed to a deterministic algorithm There are several ways an algorithm may behave differently from run to run
- How does a nondeterministic Turing machine work?
The use of term "solve" in these informal definition should, of course, be taken with a grain of salt It should be evident that a "polynomial time nondeterministic algorithm" is basically a definitional device for capturing the notion of polynomial time verifiability, rather than a realistic method of solving decision problems
- finite automata - Why NFA is called Non-deterministic? - Computer . . .
$\begingroup$ Another way of putting this: to the opponent, your choice was nondeterministic When modelling the system from the opponent's view, your move is a nondeterministic choice, unless the opponent has figured out the deterministic process behind it $\endgroup$ –
- Why nondeterminism? - Computer Science Stack Exchange
E g Facebook is not a computer, and it is highly nondeterministic What is more, any interactive system is naturally described as a nondeterministic system: the system doesn't determine the outcome of choices left to the user, the user does, and the user isn't part of the system, so in a description of the system, such choices are
- 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 There are two main ways to look at it that I know of:
- Nondeterministic Turing Machines as deciders, versus NP and co-NP
Nondeterministic Turing machines (NTM) are supposed to generalize TMs In particular, they should be able to decide languages (actually the same as TMs, if one care only about computability) In this case, I would expect that an NTM accepts if at least one of the branches accepts; and that it rejects if all the branches reject
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