Foundation of Computation Essay Sample

We will be looking at the topic of “foundation of computation” in this sample Essay.  As the name suggests,  the topic is related to that of computation that one may assume to be computers or PCs. However,  the term computation applies to a variety of stuff. Everything and anything that is capable of arithmetic calculation can be considered a computer in a wide sense.  Furthermore,  modern-day personal computers or mobiles, or even smart appliances are built around basic theories of computation.

In fact, one can trackback every modern computation machine to the most basic and initial ones like the Turing machine.  We still look at the foundation of computation in order to understand the working of computing devices. This is because, as suggested by the name it discusses all the basic concepts and theories one needs about computation. For that matter, we shall be looking at various aspects of this concept.

Moving on in our discussion, we shall be including the following topics: firstly we will be looking at the theory of computation as it is important to understand before moving any further. After this, we will be going through the different branches of that same theory. Moving on, we will be discussing the Turing machine and different concepts related to it. So without further adieu:

Computation Theory

Theory of Computation or Automata theory is different names for the same things. Moreover, it sits at the core of computer science and engineering. Adding to this, it concerns itself with studying and understanding the various computational processes through effective problem-solving methods. These problem-solving methods refer to the use of mathematical tools, techniques as well as models.

Furthermore, the Computation theory is divided into three different branches. Namely:

• Computational Complexity theory
• Computability theory
• Automata theory and language

Different Branches

We shall be looking at the different branches of Automata theory in this section of the sample essay.  Which are, as mentioned below:

Complexity Theory

The complexity theory concerns defining what makes a certain problem computationally hard as well as what makes another problem computationally easier.

Moving on, if a problem can be solved efficiently,  it is considered “computationally easy”.  Adding to this, some example of this problem is, as follow:  Sequence sorting, Search for a specific name in the directory,  Computing the Shortest way between two points, and so on.

On the other hand, a “Computationally hard” problem refers to one which cannot be efficiently solved. Examples of such problems are Time table scheduling for all courses at Carleton, Factoring a 300-digit integer into its prime factors, andComputing a layout for chips in VLSI, etc.

Computability Theory

Computability theory concerns itself with determining which problem is solvable and which isn’t on a computational device.  Moreover, this theory is related closely to recursion theory. Which is a branch of mathematical logic. Furthermore, mathematicians and computational theorists often refer to recursion theory as computability theory.

Moving on, many great researchers joined hands in the 1930s in order to create computational theory out of computability theory. Therefore it can be said that computational theory is largely based around this theory.

Automata Theory

Automata theory refers to the study of the abstract mathematical machine(computational devices) and also deals with defining and properties of computation mode. Moreover, some of these models are as mentioned below: Finite Automata, Context-Free Grammars, Context-Sensitive Grammars, and Turing Machines.

Turing Machine

The term “Turing Machine” refers to computational mathematical models. Moreover, it Is an abstract machine that includes the manipulation of symbols of a hypothetical infinite tape. Adding to this, the tape is further divided into different sections known as cells.

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