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Peter Linz Edition 4 Exercise 7.3 Question 15 (Page No. 200)
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Show that every regular language is a deterministic context-free language.
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Since every regular language can have a deterministic FA, a DPDA can be designed similar to the DFA, such that nothing is pushed on stack for each symbol of input..
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Peter Linz Edition 4 Exercise 7.3 Question 18 (Page No. 200)
Give an example of a deterministic context-free language whose reverse is not deterministic.
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Peter Linz Edition 4 Exercise 7.3 Question 17 (Page No. 200)
Show that under the conditions of Exercise 16, $L_1 ∩ L_2$ is a deterministic context-free language.
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Peter Linz Edition 4 Exercise 7.3 Question 16 (Page No. 200)
Show that if $L_1$ is deterministic context-free and $L_2$ is regular, then the language $L_1 ∪ L_2$ is deterministic context-free.
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Peter Linz Edition 4 Exercise 7.3 Question 11 (Page No. 200)
Show that $L =$ {$w ∈$ {$a, b$}$^* : n_a (w) ≠ n_b (w)$} is a deterministic context-free language.
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