You do not have permission to edit this page, for the following reason:
You can view and copy the source of this page.
Templates used on this page:
Return to Automata qn 1.
Consider $L_1 = \{a^nb^nc^md^m, m,n \ge 1\}$
$L_2 = \{a^nb^n, n \ge1\}$
$L_3 = \{(a+b)^*\}$
(1) Intersection of $L_1$ and $L_2$ is
(A) Regular (B) CFL but not regular (C) CSL but not CFL (D) None of these
(2) $L_1$ - $L_3$ is
(A) Regular (B) CFL but not regular (C) CSL but not CFL (D) None of these
(1) Regular.
GATECSEL₁ ∩ L₂
= {abcd,aabbcd,aaabbbccdd,.....} ∩ {ab, aabb, aaabbb,....}
= ϕ
(2) CFL L₁ - L₂ = L₁, hence CFL
Alternatively,
L₁ - L₃ = L₁ ∩ L₃'
= L₁ ∩ {∊,a,b,ab,aab,....}'
= L₁ ∩ (a+b)* (c+d)⁺
= L₁