Ullman (TOC) Edition 3 Exercise 6.4 Question 2 (Page No. 256 - 257)

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Ullman (TOC) Edition 3 Exercise 6.4 Question 4 (Page No. 257)
Show that the language $L=\{0^{n}1^{n}|n\geq 1\}\cup \{0^{n}1^{2n}|n\geq 1\}$ is a context-free language that is not accepted by any $DPDA$ Hint$:$ Show that there must be two strings of the form $0^{n}1^{n}$ ... Thus the $DPDA$ cannot tell whether or not to accept next after seeing $n_{1}$ $1's$ or after seeing $n_{2}$ $1's.$

Show that the language $L=\{0^{n}1^{n}|n\geq 1\}\cup \{0^{n}1^{2n}|n\geq 1\}$is a context-free language that is not accepted by any $DPDA$ Hint$:$ Show that there must ...

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Ullman (TOC) Edition 3 Exercise 6.4 Question 3 (Page No. 257)
We can prove Theorem $6.19$ in three parts$:$ Show that if $L=N(P)$ for some $DPDA$ $P,$ then $L$ has the prefix property. Show that if $L=N(P)$ for some $DPDA$ $P,$ then there exists a $DPDA$ $P'$ ... prefix property and is $L(P')$ for some $DPDA$ $P',$ then there exists a $DPDA$ $P$ such that $L=N(P).$

We can prove Theorem $6.19$ in three parts$:$Show that if $L=N(P)$ for some $DPDA$ $P,$ then $L$ has the prefix property.Show that if $L=N(P)$ for some $DPDA$ $P,$ then...

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Ullman (TOC) Edition 3 Exercise 6.4 Question 1 (Page No. 256)
For each of the following PDA's, tell whether or not it is deterministic. Either show that it meets the definition of a DPDA or find a rule or rules that violate it. $a)$ $b)$ Suppose the $PDA, $ ... $\delta(p,1,X)=\{(p,\in)\}$ $\delta(p,0,Z_{0})=\{(q,Z_{0})\}$

For each of the following PDA's, tell whether or not it is deterministic. Either show that it meets the definition of a DPDA or find a rule or rules that violate it.$a)$ ...

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Ullman (TOC) Edition 3 Exercise 6.2 Question 4 (Page No. 242)
Let P be a PDA with empty-stack language $L=N(P),$ and suppose that $\in$ is not in $L.$Describe how you would modify $P,$ so that it accepts $L\cup \{\in\} $ by empty stack.

Let P be a PDA with empty-stack language $L=N(P),$ and suppose that $\in$ is not in $L.$Describe how you would modify $P,$ so that it accepts $L\cup \{\in\} $ by empty st...

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Ullman (TOC) Edition 3 Exercise 6.4 Question 2 (Page No. 256 - 257)

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