Theory of Computation : Automata Theory and Formal Languages

Foundations of Automata Theory

What you'll learn
⚡ Understand the foundations of computation by explaining the role of automata, formal languages, and computability in computer science.
⚡ iIdentify and explain determign and analyze finite automata (DFA & NFA) and apply them to solve problems involving regular languages and pattern recognition.
⚡ Convert NFA to equivalent DFA and verify their correctness using transition tables and state diagrams.
⚡ Design and analyze finite automata (DFA & NFA) and apply them to solve problems involving regular languages and pattern recognition.

Requirements
❗ Basic understanding of high-school level mathematics (sets, symbols, and simple logic) is helpful but not mandatory.

Description
Why can some problems be solved by a computer in seconds while others remain unsolvable? The answer lies in theTheory of Computation. This 2-credit course offers a rigorous mathematical foundation for understanding how computational problems are modeled and solved using abstract machines.

In this course, we move beyond specific programming languages to explore the fundamental limits and capabilities of computation itself. You will learn to categorize problems based on their complexity and design the most efficient machines to recognize them.

What You Will Learn
✨Mathematical Foundations: Master the essential set theory concepts, including power sets and relations, that form the basis for transition functions in automata.

✨Finite Automata Mastery: Build and analyzeDeterministic andNondeterministic Finite Automata to recognize regular languages

✨Algorithmic Optimization: Learn theTable-Filling algorithm to merge equivalent states and produce the unique smallest machine for any given language through DFA Minimization

✨The Power of Conversion: Understand the relationship between different models by converting complex NFAs into equivalent DFAs.

✨Chomsky Hierarchy: Explore the four levels of formal grammars—from Regular and Context-Free to Unrestricted—and identify the specific machines (like Turing Machines) required to recognize them.

Who this course is for
⭐ Undergraduate students of Computer Science, Information Technology, and related programs who are learning Theory of Computation for the first time.

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