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# Theory of computation

## What is the theory of computation?

The theory of computation is a theoretical branch of Computer Science and Mathematics, which mainly deals with the logic of computation with respect to simple machines, referred to as automata.

This theory enables scientists to understand how machines compute functions and solve problems. The main motivation behind developing Automata Theory was to develop methods to describe and analyze the dynamic behavior of discrete systems.

## Why is the theory of computation important?

Real-world computers perform computations that by nature run like mathematical models to solve problems in systematic ways. 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.

The theory of computation forms the basis for:

• Writing efficient algorithms that run in computing devices.
• Programming language research and their development.
• Efficient compiler design and construction.

## What are the different branches of the theory of computation?

The theory of computation is made up of 3 branches.

They are:

• Automata Theory - The study of abstract machines (or more appropriately, abstract 'mathematical' machines or systems) and the computational problems that can be solved using these machines
• Computability Theory - This theory deals primarily with the question of the extent to which a problem is solvable on a computer
• Complexity Theory - This theories considers not only whether a problem can be solved at all on a computer, but also how efficiently the problem can be solved.

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# Theory of computation

October 14, 2020

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## What is the theory of computation?

The theory of computation is a theoretical branch of Computer Science and Mathematics, which mainly deals with the logic of computation with respect to simple machines, referred to as automata.

This theory enables scientists to understand how machines compute functions and solve problems. The main motivation behind developing Automata Theory was to develop methods to describe and analyze the dynamic behavior of discrete systems.

## Why is the theory of computation important?

Real-world computers perform computations that by nature run like mathematical models to solve problems in systematic ways. 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.

The theory of computation forms the basis for:

• Writing efficient algorithms that run in computing devices.
• Programming language research and their development.
• Efficient compiler design and construction.

## What are the different branches of the theory of computation?

The theory of computation is made up of 3 branches.

They are:

• Automata Theory - The study of abstract machines (or more appropriately, abstract 'mathematical' machines or systems) and the computational problems that can be solved using these machines
• Computability Theory - This theory deals primarily with the question of the extent to which a problem is solvable on a computer
• Complexity Theory - This theories considers not only whether a problem can be solved at all on a computer, but also how efficiently the problem can be solved.