What did the Turing machine solve?

In it Turing presented a theoretical machine that could solve any problem that could be described by simple instructions encoded on a paper tape. One Turing Machine could calculate square roots, whilst another might solve Sudoku puzzles.

Did Alan Turing solve the decision problem?

This became known as the decision problem, and it was considered a major open problem in the 1920s and 1930s. Alan Turing solved it in his first, groundbreaking paper “On computable numbers” (1936). He showed that no Turing machine, and hence no computational procedure at all, could solve the Entscheidungsproblem.

Can a Turing machine solve all problems?

In this module we introduce the idea of a Turing machine, yet another class of automata. Turing machiens are significantly more powerful than the automata we have examined so far. In fact, they solve precisely the set of all problems thant can be solved by any digital computing device.

Why was the Turing machine important?

In a 1936 paper, Turing proved that the a-machine could solve any computing problem capable of being described as a sequence of mathematical steps. The designers could proceed in the mathematical certainty that the machines they were building would be capable of solving any problem the humans could program.

What machine can solve any problem and perform any task from a written a program?

A universal machine is a general purpose symbol- manipulating machine, capable of solving any problem whose solution can represented by a program—an organized set of logical operations.

What fundamental problem did Alan Turing solve?

Alan Turing proved in 1936 that a general algorithm to solve the halting problem for all possible program-input pairs cannot exist.

Can a Turing machine solve halting problem?

In 1936, Alan Turing proved that the halting problem over Turing machines is undecidable using a Turing machine; that is, no Turing machine can decide correctly (terminate and produce the correct answer) for all possible program/input pairs. …