MCQ IN COMPUTER SCIENCE & ENGINEERING

COMPUTER SCIENCE AND ENGINEERING

THEORY OF COMPUTATION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
A non-deterministic algorithm is said to be non-deterministic polynomial if the time-efficiency of its verification stage is polynomial.
A
True
B
False
C
Either A or B
D
None of the above
Explanation: 

Detailed explanation-1: -Explanation: One of the properties of NP class problems states that A non-deterministic algorithm is said to be non-deterministic polynomial if the time-efficiency of its verification stage is polynomial.

Detailed explanation-2: -What Does Non-Deterministic Polynomial Time (NP) Mean? Non-deterministic polynomial time (NP) is actually a marker used to point to a set of problems and bounds of the capability of certain types of computing. NP refers to the set of problems that can be solved in polynomial time by a non-deterministic Turing machine.

Detailed explanation-3: -In computer programming, a nondeterministic algorithm is an algorithm that, even for the same input, 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.

Detailed explanation-4: -A problem is called NP (nondeterministic polynomial) if its solution can be guessed and verified in polynomial time; nondeterministic means that no particular rule is followed to make the guess. If a problem is NP and all other NP problems are polynomial-time reducible to it, the problem is NP-complete.

Detailed explanation-5: -Class NP is the class of all decision problems that a nondeterministic algorithm can solve in polynomial time.

There is 1 question to complete.