Decidable undecidable – Theory of Computing

Decidable undecidable – Theory of Computing

Question 1 UGC NET June-2020  
Given below are two statements:
Statement I: The problem “Is L1 ∧ L2=Ø?” is undecidable for context sensitive languages L1 and L2.
Statement II: The problem “Is W ∈ L?”is decidable for context sensitive language L, (where W is a string).
In the light of the above statements, choose the correct answer from the options given below
A – Both Statement I and Statement II are true
B – Both Statement I and Statement II are false
C – Statement I is correct but Statement II is false
D – Statement I is incorrect but Statement II is true

Show Answer With Best Explanation

Answer : A


Question 2 UGC NET June-2020  
Let G1 and G2 be arbitrary context free languages and R an arbitrary regular language. Consider the following problems:
A) Is L(G1)=L(G2)?
B) Is L(G2)≤L(G1)?
C) Is L(G1)=R?
Which of the problems are undecidable?
Choose the correct answer from the options given below:
A – (A) only
B – (B) only
C – (A) and (B) only
D – (A), (B) and (C)

Show Answer With Best Explanation

Answer : D

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