Question

Find context-sensitive grammars for the following languages:

a. L = {aⁿ b²ⁿ aⁿ : n ≥ 1}.
b. L = {aⁿ bᵐ cⁿ dᵐ : n ≥ 1,m ≥ 1}
Has to work in JFLAP

Answer 1

To find context-sensitive grammars for languages L = {aⁿ b²ⁿ aⁿ : n ≥ 1} and L = {aⁿ bᵐ cⁿ dᵐ : n ≥ 1, m ≥ 1}, we can define context-sensitive grammars and implement them in JFLAP.

Step-by-step explanation:

For language L = {aⁿ b²ⁿ aⁿ : n ≥ 1}, we can define a context-sensitive grammar as follows:

1. S → aBⁿa
2. B → aB
3. B → bb

For language L = {aⁿ bᵐ cⁿ dᵐ : n ≥ 1, m ≥ 1}, we can define a context-sensitive grammar as follows:

1. S → aBⁿcDⁿ
2. B → aBb | ab
3. D → cDd | cd

These context-sensitive grammars can be implemented in JFLAP to analyze the given languages.