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Regular expressions and finite automata, Context-free grammars and push-down automata, Regular and context-free languages, Pumping lemma, Turing machines and undecidability.

$$\scriptsize{\overset{{\large{\textbf{Mark Distribution in Previous GATE}}}}{\begin{array}{|c|c|c|c|c|c|c|c|}\hline
\textbf{Year}& \textbf{2022} & \textbf{2021-1}&\textbf{2021-2}&\textbf{2020}&\textbf{2019}&\textbf{2018}&\textbf{2017-1}&\textbf{2017-2}&\textbf{2016-1}&\textbf{2016-2}&\textbf{Minimum}&\textbf{Average}&\textbf{Maximum}
\\\hline\textbf{1 Mark Count} & 2 &2&3&3&2&2&2&3&3&3&2&2.5&3
\\\hline\textbf{2 Marks Count} & 3 &3&4&3&3&3&5&3&3&3&3&3.3&5
\\\hline\textbf{Total Marks} & 8 &8&11&9&8&8&12&9&9&9&\bf{8}&\bf{9.1}&\bf{12}\\\hline
\end{array}}}$$

Recent questions in Theory of Computation

23 votes
1 answer
6451
The language $\{0^n 1^n 2^n \mid 1 \leq n \leq 10^6\}$ isregularcontext-free but not regularcontext-free but its complement is not context-freenot context-free
28 votes
5 answers
6457
Which one of the following regular expressions is NOT equivalent to the regular expression $(a + b + c)^*$?$(a^* + b^* + c^*)^*$$(a^*b^*c^*)^*$$((ab)^* + c^*)^*$$(a^*b^* ...