Ullman (TOC) Edition 3 Exercise 7.3 Question 6 (Page No. 298)

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Ullman (TOC) Edition 3 Exercise 7.3 Question 5 (Page No. 298)
A string $y$ is said to be a permutation of the string $x$ if the symbols of $y$ can be reordered to make $x.$ For instance, the permutations of string $x=011$ are $110,101,$ and $011.$ If $L$ is a language then ... not context-free. Prove that for every regular language $L$ over a two-symbol alphabet , $\text{perm(L)}$ is context-free.

A string $y$ is said to be a permutation of the string $x$ if the symbols of $y$ can be reordered to make $x.$ For instance, the permutations of string $x=011$ are $110,1...

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Ullman (TOC) Edition 3 Exercise 7.3 Question 4 (Page No. 297 - 298)
The $\text{shuffle}$ of two strings $w$ and $x$ is the set of all strings that one can get by interleaving the positions of $w$ and $x$ in any way. More precisely $,\text{shuffle(w,x)}$ is the set of strings $z$ such that Each position ... and $L_{2}$ are both $CFL's,$ then $\text{shuffle($L_{1},L_{2}$)}$ need not be a $CFL.$

The $\text{shuffle}$ of two strings $w$ and $x$ is the set of all strings that one can get by interleaving the positions of $w$ and $x$ in any way. More precisely $,\tex...

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Ullman (TOC) Edition 3 Exercise 7.3 Question 7 (Page No. 299)
Complete the proof of theorem $7.27$ by showing that $(q_{P},w,Z_{0})\vdash(q,\in,\gamma)$ if and only if $(q_{P},q_{A},w,Z_{0}) \vdash((q,p),\in,\gamma),$ where $p =\hat{\delta}(p_{A},w).$

Complete the proof of theorem $7.27$ by showing that$(q_{P},w,Z_{0})\vdash(q,\in,\gamma)$ if and only if $(q_{P},q_{A},w,Z_{0}) \vdash((q,p),\in,\gamma),$ where $p =\hat...

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Ullman (TOC) Edition 3 Exercise 7.1 Question 11 (Page No. 278 - 279)
In this exercise, we shall show that for every context-free language $L$ containing at least one string other than $\in,$there is a $CFG$ in Greibach normal form that generates $L-\in.$ Recall that a Greibach normal form $(GNF)$ grammar is ... $(a).$ Then fi x the $B_{i}$ productions in any order , again $(a).$

In this exercise, we shall show that for every context-free language $L$ containing at least one string other than $\in,$there is a $CFG$ in Greibach normal form that gen...

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Ullman (TOC) Edition 3 Exercise 7.3 Question 6 (Page No. 298)

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