A → aA | λ
Now checking CFG for this above grammar:
This grammar S → aA, S → λ is CFG grammar because left hand side of both production S has only one variable (no context at the left hand and right-hand side of S).
As we know the production rule of CFG: V → (V ∪ T)*
Now checking for Regular Grammar:
This both production S → aA, A → λ follows the production rule of regular grammar.
As know the production rule of Regular Grammar:
V → T* | T*V (Right linear)
V → T* | VT* (Left linear)
S → aA (V → T*V) is right linear and A → λ (V → T*) [T* contains λ]
So, the above grammar is Context-Free Grammar and Regular Grammar but we always take the closest subset of grammar (exact grammar).
Answer: This grammar is Regular Grammar.