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Learn theory of computation
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Module 4
Properties and Limitations of Regular Languages
1
The Pumping Lemma for Regular Languages
State the Pumping Lemma for regular languages and explain its underlying logic.
2
Proving Non-Regularity with the Pumping Lemma
Apply the Pumping Lemma in a formal proof to demonstrate that a given language is not regular (e.g., {aⁿbⁿ}).
3
Closure Properties of Regular Languages
Prove the closure properties of regular languages (union, intersection, complement, concatenation, Kleene star) using automata-based constructions.
4
Minimizing DFAs using the Table-Filling Algorithm
Apply the table-filling algorithm to identify and merge indistinguishable states in a DFA.
5
Minimizing DFAs
Construct the unique minimal DFA equivalent to a given DFA.
6
Decision Problems for Regular Languages
Formulate and solve decision problems for regular languages, including membership, emptiness, finiteness, and equivalence.
Previous module
Regular Expressions and Automata Equivalence
Next module
Context-Free Grammars and Languages