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Learn theory of computation
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Module 3
Regular Expressions and Automata Equivalence
1
Understanding Regular Expressions: Operators and Semantics
Define regular expressions and their corresponding language semantics (union, concatenation, Kleene star).
2
Regex Construction for Pattern Matching
Construct regular expressions for languages with specified patterns.
3
NFA-ε: Definition and Conversion to NFA
Define NFA with ε-transitions (NFA-ε) and convert them to equivalent NFAs using ε-closure.
4
Thompson's Construction: Regex to NFA-ε
Convert regular expressions to equivalent NFA-ε using Thompson's construction algorithm.
5
DFA to Regular Expression Conversion
Convert DFAs to equivalent regular expressions using the state elimination method.
6
Kleene's Theorem: Bridging Regular Expressions and Finite Automata
State Kleene's Theorem and explain its significance in unifying the concepts of regular expressions and finite automata.
7
Simplifying Regular Expressions with Algebraic Laws
Apply algebraic laws (e.g., associativity, distributivity) to simplify regular expressions.
8
Regex for Lexical Analysis
Apply regular expressions to practical pattern matching problems such as lexical analysis.
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Regular Languages and Finite Automata
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Properties and Limitations of Regular Languages