Question: 1) Are there languages for which ? is the complement of L. 2) Show that for all languages. 3) Find grammars for = {a,b} that

1) Are there languages for which 1) Are there languages for which ? is the complement of L. ? 2) Show that for all languages. 3) Find grammars for = {a,b} is the complement of L.

2) Show that that generate the following languages: a. all strings with exactly one a. for all languages.

3) Find grammars for = {a,b} that generate the following languages:

a. all strings with exactly one a.

b. all strings with at least one a.

c. all string with no more than 3 a's.

4) Find a grammar that generates the language

L = { b. all strings with at least one a. c. all string with {a,b}^+ }.

5) Five a verbal description of the language generate by

no more than 3 a's. 4) Find a grammar that generates the | language L = { {a,b}^+ }. 5) Five a verbal description of | a.

6) Find a grammar for the language described below. Assume = {a,b}.

L = {w : the language generate by | | a. 6) Find a grammar for }.

the language described below. Assume = {a,b}. L = {w : }. means the number of a's in w.

(L*) = (L)*

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