Table of Contents
- 1 How does a non-deterministic Turing machine work?
- 2 What is the relationship between a Turing machine and an algorithm?
- 3 How can you identify a deterministic Turing machine from a nondeterministic Turing machine?
- 4 Can Turing machines solve NP problems?
- 5 How does a Turing machine work?
- 6 What are Turing machines explain different ways by which we can represent the Turing machines?
- 7 What is a nondeterministic Turing machine?
- 8 What is polynomial time nondeterministic algorithm?
How does a non-deterministic Turing machine work?
The computation of a non-deterministic Turing Machine is a tree of configurations that can be reached from the start configuration. An input is accepted if there is at least one node of the tree which is an accept configuration, otherwise it is not accepted.
What is the relationship between a Turing machine and an algorithm?
An algorithm is a set of instructions for solving a problem where the input and output (and algorithm) can be expressed in symbols. A Turing Machine is symbolic description of a machine that will execute a given algorithm.
Under what circumstance does a nondeterministic Turing machine output accept?
An NTM accepts an input string if and only if at least one of the possible computational paths starting from that string puts the machine into an accepting state.
How can you identify a deterministic Turing machine from a nondeterministic Turing machine?
The machine is said to be deterministic if there is only one possible action at each step. It is said to be nondeterministic if there are finitely many possible actions at each step. Some states are distinguished and called accepting states and one state is distinguished and called the initial state.
Can Turing machines solve NP problems?
Machine-definition This definition is equivalent to the verifier-based definition because a nondeterministic Turing machine could solve an NP problem in polynomial time by nondeterministically selecting a certificate and running the verifier on the certificate.
What is Turing machine?
A Turing machine is a mathematical model of computation that defines an abstract machine that manipulates symbols on a strip of tape according to a table of rules. Despite the model’s simplicity, given any computer algorithm, a Turing machine capable of simulating that algorithm’s logic can be constructed.
How does a Turing machine work?
The machine operates on an infinite memory tape divided into discrete “cells”. The machine positions its “head” over a cell and “reads” or “scans” the symbol there. The Turing machine was invented in 1936 by Alan Turing, who called it an “a-machine” (automatic machine).
What are Turing machines explain different ways by which we can represent the Turing machines?
A Turing Machine (TM) is a mathematical model which consists of an infinite length tape divided into cells on which input is given. It consists of a head which reads the input tape….Comparison with the previous automaton.
| Machine | Stack Data Structure | Deterministic? |
|---|---|---|
| Turing Machine | Infinite tape | Yes |
Can a Turing machine randomly solve NP problems?
An incarnation of a nondeterministic Turing machine that randomly chooses and examines (or assembles) the next potential solution will solve an NP problem in polynomial time with some probability (it would solve the problem in poly time with absolute certainty if it were the “luckiest possible guesser”).
What is a nondeterministic Turing machine?
In theoretical computer science, a nondeterministic Turing machine is a theoretical model of computation. They are used in thought experiments to examine the abilities and limitations of computers.
What is polynomial time nondeterministic algorithm?
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.
What is a transition function in deterministic Turing machine?
A deterministic Turing machine has a transition function that, for a given state and symbol under the tape head, specifies three things: the subsequent state of the finite control. For example, an X on the tape in state 3 might make the DTM write a Y on the tape, move the head one position to the right, and switch to state 5.