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.

What Cannot be computed by Turing machine?

When neurons compute a function, cannot the function be computed by a Turing Machine? The only function that I know of that can’t be done by a turing machine is self negation. A = NOT A This is because self negation breaks consistency and would therefore be illegal in any formal mathematical system.

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 discrete mathematics?

unsolvable algorithmic problem is the halting problem, which states that no program can be written that can predict whether or not any other program halts after a finite number of steps.

What is unsolvable problem in TOC?

(definition) Definition: A computational problem that cannot be solved by a Turing machine. The associated function is called an uncomputable function. See also solvable, undecidable problem, intractable, halting problem.

Can a turing machine reject a palindrome?

If you find a position where the symbols are different, the input is not a palindrome and you halt-reject. If you get to the end (first blank symbol on the end) without finding a mismatch then it is a palindrome and you halt-accept.

Can humans solve the halting problem?

Originally Answered: Can human brain solve turing halting problem? No, your brain can’t solve the Halting Problem.

What problems 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. But not all well-defined problems can be solved by a Turing machine. The halting problem has been mentioned, but there are many more, such as:

What is the proof of the halting problem?

The proof of the Halting problem uses self-reference. That is, if a machine couldsolve the halting, then we can show that thee must be a machine that halts on its own input (i.e. when given its own program, or its own number in some enumeration, or..) if and only if it does not .. a contradiction.

What is a Turing-complete language?

A Turing-complete language is a programming language that (given unbounded memory) can emulate a Turing-machine, and so compute everything that a Turning machine can.

How do computer programs solve the halting problem?

These computer programs are, in a way, trying to solve the halting problem, at least for very small values of $n$. Presumably, these machines ‘analyze’ and ‘break down’ the behavior of a machine with $4$states into something that can be demonstrated to halt or not halt.