Computing theory is a field where computational models are used using an algorithm and are concern with how efficiently they can be solve. It is a branch of Computer Science and can be consider the creation of models of all kinds. Computing theory deals with the functions of machine computing and gives an insight into the system software. It uses mathematics and logic.
All devices that require logic use computing theory. It comprises three branches: Automata Theory, Computability Theory, and Complexity Theory.
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Automata Theory
It is the study of abstract machines that are called automata. It needs proper input for the desired output, and a set of input symbols, configuration states, and output defines the automaton.
Computability Theory
It defines if the problem can be solved or not. And some are computable while others are not.
Some of the examples include Turing Machine, Finite State Machines, etc.
Complexity Theory
It looks at whether the problem can be solve and how efficiently it can be solve. It considers time complexity and space complexity. Time Complexity refers to how many steps it takes to complete a computation, whereas Space Complexity refers to how much memory is require to achieve that computation.
Why it is needed?
Anyone studying Computer Science must have a knowledge of the theory of computation. They should know how algorithms work, and it builds a strong backbone for all computer science students.
It requires a firm grasp of the C programming languages. One of the most famous examples is the Turing Machine. A lot of research has gone into this. It forms the basis for:
- Programming language research and their development
- Efficient Compiler design and construction
- Writing algorithms running in computing devices
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