# Undecidability · Theory of Computation · GATE CSE

Start Practice

## Marks 1

GATE CSE 2016 Set 1
Which of the following decision problems are undecidable? $$\,\,\,\,\,\,\,\,\,\,{\rm I}.\,\,\,\,\,\,\,\,\,\,$$ Given $$NFAs$$ $${N_1}$$ and $${N_2},... GATE CSE 2014 Set 3 Let$$\sum \, $$be a finite non - empty alphabet and let$${2^{\sum {{}^ * } }}$$be the power set of$$\sum {{}^ * .\,} $$Which one of the followin... GATE CSE 2012 Which of the following problems are decidable?$$1.$$Does a given program ever produce an output?$$2.$$If L is a context-free language, then, is$$...
GATE CSE 2008
Which of the following are decidable? $$1.$$ Whether the intersection of two regular languages is infinite $$2.$$ Whether a given context-free languag...
GATE CSE 1996
Which of the following statements is false?

## Marks 2

GATE CSE 2020
Which of the following languages are undecidable? Note that $$\langle M\rangle$$ indicates encoding of the Turing machine M. L1 = $$\left\{ {\langle ... GATE CSE 2015 Set 3 Language$${L_1}$$is polynomial time reducible to language$${L_2}$$. Language$${L_3}$$is polynomial time reducible to$${L_2}$$, which in turn i... GATE CSE 2014 Set 3 Which one of the following problems is un-decidable? GATE CSE 2013 Which of the following is/are undecidable?$$1.G$$is a$$CFG.$$Is$$L\left( G \right) = \Phi ?2.G$$is a$$CFG.$$Is$$L\left( G \ri...
GATE CSE 2005
Consider three decision problems $${P_1},$$ $${P_2}$$ and $${P_3}.$$ It is known that $${P_1}$$ is decidable and $${P_2}$$ is un-decidable. Which of t...
GATE CSE 2001
Consider the following problem $$X.$$ Given a Turing machine $$M$$ over the input alphabet $$\sum ,$$ any state $$q$$ of $$M$$ And a word $$w\,\,\var... GATE CSE 1991 Which one of the following is the strongest correct statement about a finite language over some finite alphabet$$\sum ? 
GATE CSE 1990
It is decidable whether:
GATE CSE 1989
Which of the following problems are un-decidable?
EXAM MAP
Medical
NEET
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12