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ISI 2013 Subjective
Q C4 b) If it is known that the language L1=$\left \{ 0^{n}1^{n}2^{i}\mid n\neq i \right \}$ is not a context free language (CFL). Now consider the language L2=$\left \{ 0^{i}1^{n}2^{n}\mid i\neq n \right \}$. We ... that L2 is not CFL by converting L2 into L1 by applying two operation, both know to be closed on CFLs. What are two operation you will use for this construction.

Tesla! asked in Theory of Computation Apr 5, 2017

by Tesla!

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ISI2012-A-2c
Professor Hijibiji has defined the following Boolean algebra $\mathcal{B} = (B, +, *)$, where $B = \{1, 2, 3, 5, 6, 10, 15, 30\}$, i.e., the set of all eight factors of $30$; the two binary operators $'+'$ and $'*'$ respectively denote the LCM ... common divisor) of two integer operands. Define the complementation operation $\bar{a}$ for all $a \in B$ such that $\bar{\bar{a}}= a$.

go_editor asked in Digital Logic Jun 2, 2016

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ISI2013-PCB-A-3
Let $S = \{x \in R : 1 \leq |x| \leq 100\}$. Find all subsets $M$ of $S$ such that for all $x, y$ in $M$, their product $xy$ is also in $M$.

go_editor asked in Set Theory & Algebra May 31, 2016

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ISI2013-PCB-A-2
Find the value of $ \Sigma ij$, where the summation is over all integers $i$ and $j$ such that $1 \leq i < j \leq 10$.

go_editor asked in Quantitative Aptitude May 31, 2016

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ISI2013-PCB-A-1
The vertices of a triangle $T$ are given. For an arbitrary point $P$ in the plane, give an algorithm to test if $P$ belongs to the interior of $T$. (The interior of $T$ does not include its edges).

go_editor asked in Quantitative Aptitude May 31, 2016

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