What problems can not be solved by Turing machine?

There are many problems which cannot be solved by a Turing machine in finite time (cf. Halting Problem). Some theoretical models of non-Turing computation (NTC) have been proposed but no such machines have been built. Even quantum computers are Turing machines.

Can all problems be solved by a Turing machine?

Any problem that you can solve on a computer (even a quantum computer) can be solved by a Turing machine. A Turing machine can actually solve problems that no finite computer can solve, since Turing machines have unbounded memory, which real computers do not.

What is halting problem in Turing machine TM )?

The Halting Problem is the problem of deciding or concluding based on a given arbitrary computer program and its input, whether that program will stop executing or run-in an infinite loop for the given input.

Why is Turing machine more powerful than finite state machine?

For example, a finite state machine can recognise a sequence that has three As followed by three Bs e.g. AAABBB and so can a Turing machine. That is a Turing machine is more powerful than a finite state machine because it can count.

What is a problem that Cannot be solved called?

From Wikipedia, the free encyclopedia. In planning and policy, a wicked problem is a problem that is difficult or impossible to solve because of incomplete, contradictory, and changing requirements that are often difficult to recognize.

Is a universal Turing machine a universal Turing machine?

A Universal Turing Machine can solve any of a huge class of problems. If your machine (1) can solve 1+1, that doesn’t mean it can solve any of the huge class. So it may not be a Universal Turing Machine. The logicians differentiate between “sufficient” and “neccessary” conditions. Take, for example, the sentence The sky is blue.

Is being able to solve the problem a necessary condition for UTM?

Hence, being able to solve the problem is a neccessary condition for a UTM, but not a sufficient one, because a UTM must be able to solve any problem (that’s solvable at all), not just this single one. A universal turing machine can solve any code that any specific turing machine can solve.

Can computers help us solve the halting problem in Computer Science?

Interestingly, these researchers are using computers to help them figure out the halting or non-halting behavior for these relatively ‘simple’ machines. These computer programs are, in a way, trying to solve the halting problem, at least for very small values of $n$.

Can a machine with too much power solve the halting problem?

OK, but this is when we have a machine with certain powers in a way, a machine that can solve the halting problem is a machine with ‘too much’ power, which leads to a contradiction. But, the halting-detection machines used by the Busy Beaver researchers don’t have too much power. They have too little power. Currently they can’t solve $n=5$.