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Automata Theory is a branch of computer science that deals with designing abstract computing devices and automata, as well as computational problems that can be solved using them, so that all follow a predetermined sequence of operations automatically.
With Automata Theory, computer scientists are able to understand how machines compute functions and solve problems and more importantly, what it means for a function to be defined as computable or for a question to be described as decidable.
Automatons are abstract models of machines that perform computations on input by moving through a series of states or configurations. It's simply a limited representation of a formal language that may be an infinite set and they are often grouped by the class of formal languages they can recognize.
An Automaton with a finite number of states is called a Finite Automaton, while an infinite number of states is called Automaton.
There are four major families of automaton and can be interpreted in a hierarchal form, where the finite-state machine is the simplest automata and the Turing machine is the most complex.
Finite-state Machine: An automaton in which the state set Q contains only a finite number of elements is called a finite-state machine (FSM). These are abstract machines, consisting of a set of states (set Q), set of input events (set I), a set of output events (set Z) and a state transition function. They are mostly used in designing of lexical analysis of a compiler
Pushdown Automata: Pushdown Automata is a finite automata with extra memory called stack which helps Pushdown automata to recognize Context-Free Languages. They are used in designing the parsing phase of a compiler, implementation of stack applications, evaluating the arithmetic expressions and solving the Tower of Hanoi Problem.
Linear-bounded Automata: A linear bounded automata is basically a multi-track non-deterministic Turing machine with a tape of some bounded finite length. The computation is restricted to the constant bounded area. They are basically used for the implementation of genetic programming, constructing syntactic parse trees for semantic analysis of the compiler.
Turing Machine: Turing machine is a finite automaton or control unit equipped with infinite storage (memory). Its "memory" consists of an infinite number of a one-dimensional array of cells. Turing's machine is basically an abstract model of modern-day computer execution and storage, developed in order to provide a precise mathematical definition of an algorithm or mechanical procedure. A Turing machine consists of a tape of infinite length on which read and writes operation can be performed. The tape consists of infinite cells on which each cell either contains an input symbol or a special symbol called blank.
There is are so many benefits in learning about Automata Theory:
1. Automata applications are endless, basically, Automata Theory helps you understand what computation means, from the basics of elementary models of computations all the way up to the Turing machine and its applications.
2. Studying Automata Theory makes you understand and shows you how to solve certain problems with these computational models, for example; learning about the fundamentals of compilers.
3. Automata Theory allows computer scientists to learn how machines compute functions and solve problems.
4. It also helps them to understand what it means for a function to be defined as computable or for a question to be described as decidable.
5. Benefits of learning about automata theory also include understanding the underlying principles between Web Search which is on the theory of pattern matching, Sequential Circuit which is on the theory of automata, Cryptography which is on the theory of computational complexity, Data Compression which is on the theory of information and a whole lot more. As a computer scientist, you can't do without Automata Theory.
6. It interprets the state of movement of machines using discrete graphs.
7. It analyzes the logic behind the computations of computer programs.
8. It explains the abstraction behind the movement of machines.
9. It is highly applicable in engineering fields such as mechanical engineering, electrical engineering and computer artificial intelligence (AI).
10. It is applicable in writing the logic for the production and research of new mechanical and electrical devices.
The features of Automata Theory includes the following but not limited to:
1. Deterministic Finite Automation:
In Deterministic Finite Automation, for each symbol you enter, one can find out the state to which the machine will move. Hence, it is called Deterministic Automaton. Seeing that it has a finite number of states, the machine is called Deterministic Finite Machine or Deterministic Finite Automaton. Deterministic here refers to the uniqueness of the computation.
A Deterministic Finite Automaton is defined as an abstract mathematical concept but is use cases are often seen in hardware and software for solving various specific problems. For example, a Deterministic finite model can model software that decides whether or not online user inputs such as email addresses are valid.
Finite (DFA) can be seen as a special kind of NFA, in which for each state and alphabet, the transition function has exactly one state.
2. Non-deterministic Finite Automaton:
In Non-deterministic Finite Automation, for a particular input symbol, the machine can move to any combination of the states in the machine. In other words, the exact state to which the machine moves cannot be determined. Hence, it is called Automaton. As it has of states, the machine is called Non-deterministic Finite Machine or Non-deterministic Finite Automaton.
A Non-Deterministic Finite Automaton (NFA), or Non-Deterministic Finite State Machine, does not need to obey these restrictions. In particular, every DFA is also an NFA. Sometimes the term NFA is used in a narrower sense, referring to an NFA that is not a deterministic Finite Automaton.
Some of the things you will learn in this course include:
You will learn about Automaton Theories and how they operate. The Automaton is a self-propelled device that satisfies every condition of the Automata Theory.
The concept of Finite state machines, you will understand how they work. The Finite state machines are devices that tend to change their state when input is been made into the machine. An example is the Turnstile machine.
You will understand how the schematic of a Finite state machine is being obtained from a table of languages or strings and how possible it will be for the schematic to change its state if an input defined within the schematic is made.
You will understand DFA also known as the Deterministic Finite Automaton and non-DFA. The languages and grammar, how to write a string of codes that serve as algorithms for the automatic computational process of a machine.
Turing machines and their types such as:
Non-Deterministic Turing Machines,
Semi Infinite Tape,
Multi Tape and
Multi-Track Turing Machines.
Decidability such as:
The Decidable languages and
The unDecidable languages.
You will also understand the Fundamentals of Automata Theory and a lot more.
In the Full Course, you will learn everything you need to know about Automata Theory with Diploma Certificate to showcase your knowledge and competence.
Automata Theory - Introduction
Automata Theory - Deterministic Finite Automaton
Automata Theory - Non-deterministic Finite Automaton
Automata Theory - NDFA to DFA Conversion
Automata Theory - DFA Minimization
Automata Theory - Moore & Mealy Machines
Automata Theory - Introduction to Grammars
Automata Theory - Classification of Grammars
Automata Theory - Language Generated by Grammars
Automata Theory - Chomsky Grammar Classification
Automata Theory - Regular Grammar
Automata Theory - Regular Expressions
Automata Theory - Regular Sets
Automata Theory - Arden's Theorem
Automata Theory - Constructing FA from RE
Automata Theory - Pumping Lemma for Regular Grammar
Automata Theory - DFA Complement
Automata Theory - Context-Free Grammar
Automata Theory - Ambiguity in Grammar
Automata Theory - CFL Closure Properties
Automata Theory - CFG Simplification
Automata Theory - Chomsky Normal Form
Automata Theory - Greibach Normal Form
Automata Theory - Pumping Lemma for CFG
Automata Theory - Pushdown Automata
Automata Theory - Pushdown Automata Acceptance
Automata Theory - PDA & Context-Free Grammar
Automata Theory - PDA & Parsing
Automata Theory - Turing Machine
Automata Theory - Accepted & Decided Language
Automata Theory - Multi-tape Turing Machine
Automata Theory - Multi-Track Turing Machine
Automata Theory - Non-Deterministic Turing Machine
Automata Theory - Semi-Infinite Tape Turing Machine
Automata Theory - Linear Bounded Automata
Automata Theory - Decidability
Automata Theory - Language Decidability
Automata Theory - Undecidable Language
Automata Theory - Turing Machine Halting Problem
Automata Theory - Rice Theorem
Automata Theory - Post Correspondence Problem
Automata Theory - Exams and Certification
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