What are the types of computational problems?

What are the types of computational problems?

In this course we will deal with four types of computational problems: decision prob- lems, search problems, optimization problems, and counting problems.

What is the problem of complexity?

A computing science term, complexity of problem refers to the degree of difficulty in solving a problem. Although algorithms for solving a problem may be written, they may force a computer to take a long period of time to solve it if complex.

What are computational issues?

In theoretical computer science, a computational problem is a problem that a computer might be able to solve or a question that a computer may be able to answer. For example, the problem of factoring. “Given a positive integer n, find a nontrivial prime factor of n.”

Which of the problem is unsolvable?

An unsolvable problem is one for which no algorithm can ever be written to find the solution. An undecidable problem is one for which no algorithm can ever be written that will always give a correct true/false decision for every input value.

What are some problems computers cant solve?

Eight Problems A Computer Can’t Solve

• A computer won’t solve broad, poorly defined problems.
• A computer won’t save money by eliminating workers.
• A computer won’t clean up the errors in your manual procedures.
• A computer won’t do forecasting or trend analysis until a few years down the road.

How do you solve computational problems?

By implementing this five step process, we shall attempt to find an approximation of the area of this region.

1. Identify the problem.
2. Express the problem in terms of a mathematical model.
3. Construct a computational method.
4. Implement the computational method.
5. Assess the results.

What are the 6 concepts behind computational thinking?

The characteristics that define computational thinking are decomposition, pattern recognition / data representation, generalization/abstraction, and algorithms. By decomposing a problem, identifying the variables involved using data representation, and creating algorithms, a generic solution results.

What is a complex problem in computing?

Complex problems A complex problem is one that, at first glance, does not have an obvious, immediate solution. Computational thinking involves taking that complex problem and breaking it down into a series of small, more manageable problems. Each of these smaller problems can then be looked at individually.

Which problem are unsolvable in automata?

One of well known unsolvable problems is the halting problem. It asks the following question: Given an arbitrary Turing machine M over alphabet = { a , b } , and an arbitrary string w over , does M halt when it is given w as an input? It can be shown that the halting problem is not decidable, hence unsolvable.

What is undecidable problem in DAA?

In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an algorithm that always leads to a correct yes-or-no answer.

What is computational complexity theory in Computer Science?

Computational complexity theory. Computational complexity theory focuses on classifying computational problems according to their inherent difficulty, and relating these classes to each other. A computational problem is a task solved by a computer.

Why is complexity theory not useful for solving particular problem instances?

The quantitative answer to this particular problem instance is of little use for solving other instances of the problem, such as asking for a round trip through all sites in Milan whose total length is at most 10 km. For this reason, complexity theory addresses computational problems and not particular problem instances.

What is computational problem and problem instance?

A computational problem can be viewed as an infinite collection of instances together with a solution for every instance. The input string for a computational problem is referred to as a problem instance, and should not be confused with the problem itself. In computational complexity theory, a problem refers to the abstract question to be solved.

What is the Continuous complexity theory of numerical analysis?

Continuous complexity theory can refer to complexity theory of problems that involve continuous functions that are approximated by discretizations, as studied in numerical analysis. One approach to complexity theory of numerical analysis is information based complexity.

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