nondeterministic polynomial-time - meaning and definition. What is nondeterministic polynomial-time
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What (who) is nondeterministic polynomial-time - definition

Nondeterministic time; Non-deterministic time

nondeterministic polynomial time         
COMPUTATIONAL COMPLEXITY CLASS OF DECISION PROBLEMS SOLVABLE BY A NON-DETERMINISTIC TURING MACHINE IN POLYNOMIAL TIME
NP (complexity class); Nondeterministic polynomial time; NP-problem; NP-Problem; NP class; NP Class; NP-Class; NP-class; Class NP; Complexity class NP; Nondeterministic Polynomial; Nondeterministic polynomial; Np (complexity); NP (class)
<complexity> (NP) A set or property of computational {decision problems} solvable by a nondeterministic Turing Machine in a number of steps that is a polynomial function of the size of the input. The word "nondeterministic" suggests a method of generating potential solutions using some form of nondeterminism or "trial and error". This may take exponential time as long as a potential solution can be verified in polynomial time. NP is obviously a superset of P (polynomial time problems solvable by a deterministic Turing Machine in {polynomial time}) since a deterministic algorithm can be considered as a degenerate form of nondeterministic algorithm. The question then arises: is NP equal to P? I.e. can every problem in NP actually be solved in polynomial time? Everyone's first guess is "no", but no one has managed to prove this; and some very clever people think the answer is "yes". If a problem A is in NP and a polynomial time algorithm for A could also be used to solve problem B in polynomial time, then B is also in NP. See also Co-NP, NP-complete. [Examples?] (1995-04-10)
Polynomial hierarchy         
  • PH]], and [[PSPACE]]
HIERARCHY OF COMPLEXITY CLASSES BETWEEN P AND PSPACE
Polynomial time hierarchy; Polynomial-time hierarchy; NP^NP; Sigma2p
In computational complexity theory, the polynomial hierarchy (sometimes called the polynomial-time hierarchy) is a hierarchy of complexity classes that generalize the classes NP and co-NP.Arora and Barak, 2009, pp.
HOMFLY polynomial         
TWO-VARIABLE KNOT POLYNOMIAL, GENERALIZING THE JONES AND ALEXANDER POLYNOMIALS
HOMFLY(PT) polynomial; HOMFLY; LYMPHTOFU polynomial; HOMFLYPT polynomial; Homfly polynomial; FLYPMOTH polynomial; HOMFLY invariant
In the mathematical field of knot theory, the HOMFLY polynomial or HOMFLYPT polynomial, sometimes called the generalized Jones polynomial, is a 2-variable knot polynomial, i.e.

Wikipedia

NTIME

In computational complexity theory, the complexity class NTIME(f(n)) is the set of decision problems that can be solved by a non-deterministic Turing machine which runs in time O(f(n)). Here O is the big O notation, f is some function, and n is the size of the input (for which the problem is to be decided).