Motivation for studying Theory of Computation

Theory of computation is a part of theoretical Computer Science.

Theory of computation basically deals with designing of machine through a conceptual model. Whenever we face any challenges in real-time we are looking for some solutions either in form of hardware or software. For the solution we do some computation and follow proper algorithms.

Theory of computation is basically the study of how problems can be solved using algorithms which are based on logics. Where first we think for logic then we create model, with the help of model we write an algorithm and then we code a program through which we develop a software or any machine.

TOC build a strong foundation for abstract area areas in computer science. It gives you the answer to “How does a computer is made to think?”

These are some very basic examples of a computer making a decision (whether to accept a string or not.) There is a great deal of work that was made possible in the area of Natural

Language Processing that involved building Finite State Automata.

• State machines are used in certain areas of Number Theory.
• Regular expressions can be expressed using Finite Automata.
• Automata tells you whether a problem is solvable or not.

 The two main aspects in the process of computation basically deals with: Time complexity and Space complexity. Time complexity signifies how many steps does it take to perform a computation, and Space complexity signifies how much memory is needed to carry out that computation.

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In study of TOC we start with understanding of basics related to string, language, alphabets, symbols then we learn how to construct deterministic finite automata, non-deterministic finite automata, Regular expression, context-free grammar, context-free language, Push down automata, Turning machines, etc.

What do you gain by studying TOC?

• Grades in University examination.
• Good problem-solving skills.
• Behind logic of any compiler.
• Respect, as it is very tough to digest and one of the toughest subjects in computer science.
• Knowledge about computer languages and grammars.
• Knowledge of what is going underneath programming language.
• And so many things, as this package comes up with full of stars.

 Also, Study about: 

• Mealy Machine
• Moore Machine
• Rice Theorem
• Brief about Turing Machine
• Multi Dimension Turing Machine
• Multiple Turing Machine
• Parikh Theorem in TOC
• Parse Tree or Derivation Tree
• What do you Understand by Derivation
• MyHill Nerode Theorem
• Minimize Myhill Nerode Theorem
• Push Down Automata
• Know Where we use Automata
• What do you understand by Derivation of Grammar
• What is Context-free Grammar
• Example based on CFG
• Regular Expression in TOC
• What is Two-way infinite Turing machine?
• Example to generate Parse tree from the given grammar

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