2014年3月12日 · 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.

2017年8月28日 · 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.

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.

Your definition is wrong. A PDA is non-deterministic if in some state there are several possible transitions. It doesn't matter if that applies to a transition to a final stat

A nondeterministic Turing machine can, easily. Work by Aaronson and Archipov (The Computational Complexity of Linear Optics) suggests that nondeterministic Turing machines are unlikely to be able to efficiently simulate certain experiments of linear optics which could be simulated by a quantum Turing machine.

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.

2024年2月17日 · 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.

2017年9月6日 · $\begingroup$ 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 …

The class of problems solvable by a nondeterministic Turing Machine in polynomial time is $\mathsf{NP}$, for Nondeterministic polynomial time. This definition has nothing to do with exponential time or exponential functions at all. The class of problems solvable by a deterministic Turing Machine in exponential time is $\mathsf{EXP}$.

2013年11月8日 · moreover there is significant theory (somewhat similar/analogous) of converting other nondeterministic machines to deterministic ones eg NFAs to DFAs. in general the complexity of the corresponding classes (deterministic vs nondeterministic ones) is open for many related questions. see also . what are infinite graphs good for tcs.se