Show that if a language family is closed under union and complementation, it must also be closed under intersection. under intersection in

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Solve problem 4
2. Let L₁=L(ab* aa), L₂=L(a*bba"). Find a regular expression for (₁
3. Show how from a dfa for L, one can construct a finite automaton for L.
4. Show that if a language family is closed under union and complementation,
it must also be closed under intersection.
roof of closure under intersection in
Transcribed Image Text:2. Let L₁=L(ab* aa), L₂=L(a*bba"). Find a regular expression for (₁ 3. Show how from a dfa for L, one can construct a finite automaton for L. 4. Show that if a language family is closed under union and complementation, it must also be closed under intersection. roof of closure under intersection in
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