Are there some problems that no algorithm can solve?

Are there some problems that no algorithm can solve?

We also describe two known unsolvable problems, the Halting problem and the Wang Tile problem. For both problems there exists a mathematical proof showing that no algorithm can exist.

What is a problem that no algorithm exists to solve all instances called?

What is a problem that no algorithm exits to solve all instances called? Undecidable problem. What is one way to help ensure the correctness of algorithms? Through the reuse of existing correct algorithms to build new algorithms.

Does every problem in programming have an algorithm?

Apparently, it also depends on how you define “Algorithm”. I would say that very few problems require novel algorithms, but that since a computer program has only two parts–algorithms and data structures–all problems require some algorithms, even if those algorithms are trivial. algorithm.

What are tractable problems?

Tractable problem, in computational complexity theory, a problem that can be solved in polynomial time. Tractable, ease of obtaining a mathematical solution such as a closed-form expression.

Is there only one correct algorithm for a given problem?

Given a problem, there may be more than one correct algorithms. However, the costs to perform different algorithms may be different. An algorithm is correct only if it produces correct result for all input instances.

Can algorithms solve all problems?

Algorithms can solve many but not all problems. Many problems can be solved in a reasonable time. Reasonable time means that as the input size grows, the number of steps the algorithm takes is proportional to the square (or cube, fourth power, fifth power, etc.) of the size of the input.

What are some problems that a computer can never solve?

There are some problems that a computer can never solve, even the world’s most powerful computer with infinite time: the undecidable problems. An undecidable problem is one that should give a “yes” or “no” answer, but yet no algorithm exists that can answer correctly on all inputs.

Are there any problems that are not solvable for all inputs?

There are no problems that are not solvable for all inputs. If the function has X->Y then the TM that simply prints Y for all inputs will output the correct result for one input. 1 Share ReportSave Continue this thread 

What are the undecidable problems in Computer Science?

Computer scientists and mathematicians have discovered many more undecidable problems. Quite a few of those, once simplified, look like another case of the halting problem. Generally, all the undecidable problems revolve around the difficulty of determining properties about the input and output of programs.