The essence of the theory of computation is to help develop mathematical and logical models that run efficiently and to the point of halting. Since all machines that implement logic apply TOC, studying TOC gives learners an insight into computer hardware and software limitations.

Why is computability theory important?

It leads to a classification of functions according their inherent complexity. For the computer scientist, computability theory shows that quite apart from practical matters of running time and memory space, there is a purely theoretical limit to what computer programs can do.

What is the importance of studying theory of automata?

Automata theory is important because it allows scientists to understand how machines solve problems. An automaton is any machine that uses a specific, repeatable process to convert information into different forms. Modern computers are a common example of an automaton.