Computation is the movement and alteration which occurs during the transition of data or the processing of data based on a set of operations.
The theory of computation includes the fundamental mathematical properties of computer hardware, software and their applications. It is a computer science branch which deals with how a problem can be solved efficiently by using an algorithm on a model of computation.
The theory of computation field is divided into three concepts, which are as follows −
Let us understand these concepts in detail.
It deals with the definition and properties of various mathematical models of computers.
Computability theory deals with what can and cannot be computed by the model respectively. The theoretical models are proposed in order to understand the solvable and unsolvable problems which lead to the development of the real computers.
Complexity theory groups the computable problems based on their hardness.
The main purpose of theory of computation is to develop a formal mathematical model of computation that reflects the real world computers.
The theory of computation is applied in the following −