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regular language

GATE CSE & IT · Theory of Computation - Automata · 1991-2025

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13
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2025 Q24

Which ONE of the following languages is accepted by a deterministic pushdown automaton?

mediumanswer key
2025 Q28

A regular language L is accepted by a non-deterministic finite automaton (NFA) with n states. Which of the following statement(s) is/are FALSE?

mediumanswer key
2023 PYQ

Consider the context-free grammar G below $$\matrix{ S & \to & {aSb|X} \cr X & \to & {aX|Xb|a|b,} \cr } $$ where S and X are non-terminals, and a and b are terminal symbols. The st...

mediumanswer keybasic explanation
2023 PYQ

Consider the language L over the alphabet {0, 1}, given below: $$L = \{ w \in {\{ 0,1\} ^ * }|w$$ does not contain three or more consecutive $$1's\} $$. The minimum number of state...

easybasic explanation
2021 PYQ

Consider the following language. L = { w ∈ {0, 1}* | w ends with the substring 011} Which one of the following deterministic finite automata accepts L?

easyanswer keybasic explanation
2020 PYQ

Consider the following languages. L 1 = {wxyx | w, x, y ∈ (0 + 1) + } L 2 = {xy | x, y ∈ (a + b)*, |x| = |y|, x ≠ y} Which one of the following is TRUE?

hardanswer keybasic explanation
2017 Q25

The minimum possible number of states of a deterministic finite automaton that accepts the regular language L = {w1aw2 | w1, w2 ∈ {a, b}*, |w1| = 2, |w2| ≥ 3} is

hardanswer key
2016 PYQ

Language $${L_1}$$ is defined by the grammar: $$S{}_1 \to a{S_1}b|\varepsilon $$ Language $${L_2}$$ is defined by the grammar: $$S{}_2 \to ab{S_2}|\varepsilon $$ Consider the follo...

easyanswer key
2011 PYQ

Consider the languages $${L_1}$$, $${L_2}$$ and $${L_3}$$ are given below. $$$\eqalign{ & {L_1} = \left\{ {{0^p}{1^q}\left| {p,q \in N} \right.} \right\} \cr & {L_2} = \left\{ {{0^...

easyanswer keybasic explanation
2011 PYQ

Definition of the language $$L$$ with alphabet $$\left\{ a \right\}$$ is given as following. $$L = \left\{ {{a^{nk}}} \right.\left| {k > 0,\,n} \right.$$ is a positive integer cons...

mediumanswer key
2006 PYQ

For $$s \in {\left( {0 + 1} \right)^ * },$$ let $$d(s)$$ denote the decimal value of $$s(e. g.d(101)=5)$$ Let $$L = \left\{ {s \in {{\left( {0 + 1} \right)}^ * }\left| {\,d\left( s...

mediumanswer key
2002 PYQ

The language accepted by a pushdown Automation in which the stack is limited to $$10$$ items is best described as

easyanswer key
2001 PYQ

Consider the following two statements; $${S_1}\,\,:\,\,\left\{ {{0^{2n}}\left| {n \ge 1} \right.} \right\}$$ is a regular language $${S_2}\,\,:\,\,\left\{ {{0^m}{1^n}{0^{m + n}}\le...

easyanswer key
2000 PYQ

Let $$L$$ denote the language generated by the grammar $$S \to 0S\left. 0 \right|00.$$ Which one of the following is true?

easyanswer keybasic explanation
1999 PYQ

If $${L_1}$$ is a context free language and $${L_2}$$ is a regular which of the following is/are false?

easyanswer key
1991 PYQ

Which one of the following is the strongest correct statement about a finite language over some finite alphabet $$\sum ? $$

easyanswer key