What does verified in polynomial time mean?
Polynomial verification of a solution. For a recognition problem, if we are given a guess of a solution we want to verify if this solution can help. us answer the problem. If we can “doublecheck” that the guess is a solution in polynomial time, we say that we can verify the solution in polynomial time.
Can NP problems be verified in polynomial time?
NP is the set of decision problems for which the problem instances, where the answer is “yes”, have proofs verifiable in polynomial time by a deterministic Turing machine, or alternatively the set of problems that can be solved in polynomial time by a nondeterministic Turing machine.
What is meant by non deterministic polynomial time?
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.
Is NP always in polynomial time?
All NP problems can be verified in polynomial time, and all problems that can be verified in polynomial time are in NP.
What is verification algorithm?
A verification algorithm is a two-argument algorithm A, where one argument is an ordinary input string x, and the other argument is a binary string y called a certificate. Algorithm A verifies x if there exists a y such that A(x,y) = 1.
What would it mean if someone would find a polynomial time algorithm for an NP-complete problem?
Polynomial time refers to an amount of time that is considered “quick” for a deterministic algorithm to check a single solution, or for a nondeterministic Turing machine to perform the whole search. “Complete” refers to the property of being able to simulate everything in the same complexity class.
Is set of problems that can be solved in polynomial time?
tractable
Explanation: Problems that can be solved in polynomial time are known as tractable. Problems that cannot be solved in polynomial time are intractable.
What is deterministic and nondeterministic?
A deterministic function always returns the same results if given the same input values. A nondeterministic function may return different results every time it is called, even when the same input values are provided.
What is the difference between deterministic and nondeterministic pushdown automata?
This helps PDA to behave more powerful than Finite-state Machine….Difference between NPDA and DPDA:
| S. No | DPDA(Deterministic Pushdown Automata) | NDPA(Non-deterministic Pushdown Automata) |
|---|---|---|
| 1. | It is less powerful than NPDA. | It is more powerful than DPDA. |
What is the verification algorithm?
Is P vs NP solvable?
P is the set of all decision problems that are efficiently solvable. P is a subset of NP. P is the set of all decision problems that are efficiently solvable and is a subset of NP. Basic Arithmetic is solvable in Polynomial-time, thus belongs to P.
What is polynomial time verification of an algorithm?
In other words, if we can solve a problem in polynomial time, we can indeed verify the solution in polynomial time. More formally, we do not need to see a certificate (there is no need to specify the vertex/intermediate of the specific path) to solve the problem; we can explain it in polynomial time anyway.
What is nondeterministic function?
Nondeterministic functions result in different output each time they are called with a fixed set of input values even if the database state that they access remains the same. For example, GETDATE() function, results the current date and time value, always a different value.
What is nondeterministic computation?
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.
What are the differences between both deterministic and nondeterministic?
Functions can be either deterministic or nondeterministic. A deterministic function always returns the same results if given the same input values. A nondeterministic function may return different results every time it is called, even when the same input values are provided.