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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

0 votes
1 answer
4562
0 votes
1 answer
4563
Find dfa's for the following languages on Σ = {a,b}.L= {w: na(w) mod 3 >nb(w) mod 3}.L= {w :(na(w) – nb(w)) mod 3 0}.
3 votes
2 answers
4564
0 votes
1 answer
4566
Let sigma = { a,b }. The minimal number of states in a DFA that accepts set of all strings with A) exactly 2 "a's" and more than 2 "b's". B) atleast one "a" and e...
0 votes
3 answers
4567
3 votes
3 answers
4568
#10 Is the below language context free?L = { w1cw2 : w1,w2 ∈ {a,b}* , w1≠ w2}As per my analysis it is not. Please verify.
1 votes
2 answers
4570
0 votes
1 answer
4571
0 votes
1 answer
4572
The set of all strings with at most one pair of consecutive zeros and one pair of consecutive ones.
0 votes
2 answers
4573
0 votes
3 answers
4574
0 votes
2 answers
4575
4 votes
3 answers
4577
How many 3 state DFA's can be constructed with a designated initial final state that accepts empty language over alphabet {a,b}?
0 votes
0 answers
4579
0 votes
3 answers
4580