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What is Closure of Regular Languages under Difference about?

The document provides a constructive proof that regular languages are closed under difference by showing how to construct a finite automaton for the language L = L₁ - L₂. It utilizes the identity L₁ - L₂ = L₁ ∩ L₂ᶜ and demonstrates the construction of a DFA for L₂ᶜ and its intersection with L₁. The conclusion confirms that the resulting DFA accepts strings in L₁ but not in L₂, proving that L₁ - L₂ is regular.

Author

ghmpersonal

Language

EN