1
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67
Suppose that L1 is a regular and L2 is a context-free language, Which one of the following languages is NOT necessarily context-free?
2
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67
Consider the following context-free grammar where the set of terminals is {a, b, c, d, f}.
S → d a T | R f
T → a S | b a T | ϵ
R → c a T R | ϵ
The following is a partially-filled LL(1) parsing table.
Which one of the following choices represents the correct combination for the numbered cells in the parsing table ("blank" denotes that the corresponding cell is empty)?
3
GATE CSE 2021 Set 1
Numerical
+2
-0.67
In a pushdown automaton P = (Q, ∑, Γ, δ, q0, F), a transition of the form,
where p, q ∈ Q, a ∈ Σ ∪ {ϵ}, and X, Y ∈ Γ ∪ {ϵ}, represents
(q, Y) ∈ δ(p, a, X).
Consider the following pushdown automaton over the input alphabet ∑ = {a, b} and stack alphabet Γ = {#, A}.
The number of strings of length 100 accepted by the above pushdown automaton is ______
Your input ____
4
GATE CSE 2021 Set 1
MCQ (Single Correct Answer)
+2
-0.67
Let $$\left\langle M \right\rangle $$ denote an encoding of an automation M. Suppose that ∑ = {0, 1}. Which of the following languages is/are NOT recursive?
Questions Asked from Push Down Automata and Context Free Language (Marks 2)
Number in Brackets after Paper Indicates No. of Questions
GATE CSE 2021 Set 1 (4)
GATE CSE 2020 (1)
GATE CSE 2018 (1)
GATE CSE 2016 Set 1 (1)
GATE CSE 2015 Set 3 (1)
GATE CSE 2014 Set 3 (1)
GATE CSE 2013 (1)
GATE CSE 2011 (2)
GATE CSE 2010 (1)
GATE CSE 2008 (3)
GATE CSE 2007 (3)
GATE CSE 2006 (1)
GATE CSE 2005 (3)
GATE CSE 2004 (3)
GATE CSE 2000 (1)
GATE CSE 1999 (1)
GATE CSE 1998 (2)
GATE CSE 1997 (1)
GATE CSE 1996 (2)
GATE CSE 1994 (1)
GATE CSE 1992 (1)
GATE CSE 1989 (1)
GATE CSE 1987 (2)
GATE CSE Subjects
Discrete Mathematics
Programming Languages
Theory of Computation
Operating Systems
Computer Organization
Database Management System
Data Structures
Computer Networks
Algorithms
Compiler Design
Software Engineering
Web Technologies
General Aptitude