Question

Recursively define strings in the following language:

A = {0^(n)1^(n+m)0^(m) | n,m >= 0}

Then create a context-free grammar to describe the language.

Answer 1

Given Language:

Corresponding Strings table:

Values	Strings
n=0, m=0	{}
n=0, m=0	{01{
n=0, m=0	{10}
n=0, m=0	{0110}
n=0, m=0	{001110}
n=0, m=0	{011100}
n=0, m=0	{00111100}

Grammer of the strings ->

S -> AB

A -> 0A1 |

B -> 1B0 |

Contet free grammer for A:

here,

V = {S,A,B}

= {0,1}

P = { S -> AB, A -> 0A1 | , B -> 1B0 | }

S = {S}

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