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What does intractable problem mean in computer science?
From a computational complexity stance, intractable problems are problems for which there exist no efficient algorithms to solve them. Most intractable problems have an algorithm – the same algorithm – that provides a solution, and that algorithm is the brute-force search.
Are exponential algorithms intractable?
Intractable Problem: a problem that cannot be solved by a polynomial-time al- gorithm. The lower bound is exponential. Here are examples of intractable problems (ones that have been proven to have no polynomial-time algorithm).
What is an example of an intractable problem?
One example of an intractable problem, you have to travel from the starting city to all cities on the map and back to the starting city, for the lowest cost.
What is the difference between an undecidable problem and an intractable problem 5?
Undecidable problems are those for which no computer solution can ever exist, while intractable problems are those for which there is strong evidence that, although they can be solved by a computer, they cannot be solved sufficiently fast that the solution is truly useful in practice.
Is NP hard intractable?
Algorithms for solving hard, or intractable, problems, on the other hand, require times that are exponential functions of the problem size n. …
What makes something intractable?
1 : not easily governed, managed, or directed intractable problems. 2 : not easily relieved or cured intractable pain. 3 : not easily manipulated or shaped intractable metal.
Why are some problems undecidable?
In computability theory, an undecidable problem is a type of computational problem that requires a yes/no answer, but where there cannot possibly be any computer program that always gives the correct answer; that is, any possible program would sometimes give the wrong answer or run forever without giving any answer.
What is not intractable mean?
What are intractable problems in Computer Science?
Intractable problems From a computational complexity stance, intractable problemsare problems for which there exist no efficientalgorithms to solve them. Most intractable problems have an algorithm – the samealgorithm – that provides a solution, and that algorithm is the brute-force search.
What is the solution to intractable problems?
Most intractable problems have an algorithm – the samealgorithm – that provides a solution, and that algorithm is the brute-force search. This algorithm, however, does not provide an efficientsolution and is, therefore, not feasible for computation with anything more than the smallest input.
What is the difference between tractable and intractable problems?
A problem is called tractable iff there is an efficient (i.e. polynomial-time) algorithm that solves it. A problem is called intractable iff there is no efficient algorithm that solves it. Intractable problems are common. We need to discuss how to approach them when you come across them in practice.
What is the difference between polynomial-time and exponential-time algorithms?
Polynomial-time algorithms are considered to be efficient, while exponential-time algorithms are considered inefficient, because the execution times of the latter grow much more rapidly as the problem size… …allowed the solution of formerly intractable problems.