Linear-bounded automata MCQs

By: Prof. Dr. Fazal Rehman Shamil | Last updated: September 23, 2024

MCQs on Linear-Bounded Automata (LBA)
What is a linear-bounded automaton (LBA) primarily used to recognize?

A) Regular languages
B) Context-free languages
C) Context-sensitive languages
D) Recursively enumerable languages
Answer: C) Context-sensitive languages

How does an LBA differ from a Turing machine (TM)?

A) LBAs have a restricted tape length.
B) LBAs have a finite set of states.
C) LBAs use a stack for storage.
D) LBAs can only recognize regular languages.
Answer: A) LBAs have a restricted tape length.

True or False: LBAs can recognize languages that Turing machines cannot recognize.

A) True
B) False
Answer: B) False

Which of the following statements about LBAs is true?

A) LBAs can simulate non-deterministic Turing machines.
B) LBAs can simulate deterministic finite automata (DFAs).
C) LBAs operate with a tape that is linearly bounded in size.
D) LBAs are equivalent to pushdown automata.
Answer: C) LBAs operate with a tape that is linearly bounded in size.

In what way are LBAs related to context-sensitive languages?

A) LBAs can recognize all context-sensitive languages.
B) LBAs are less powerful than pushdown automata.
C) LBAs are equivalent to regular languages.
D) LBAs can recognize all recursively enumerable languages.
Answer: A) LBAs can recognize all context-sensitive languages.

Which of the following is a limitation of LBAs compared to Turing machines?

A) LBAs have a smaller tape alphabet.
B) LBAs cannot simulate deterministic finite automata.
C) LBAs cannot recognize recursively enumerable languages.
D) LBAs have a restricted tape length.
Answer: D) LBAs have a restricted tape length.

What computational model is LBA most closely related to in terms of power and recognition capability?

A) Finite automaton (FA)
B) Pushdown automaton (PDA)
C) Non-deterministic Turing machine (NTM)
D) Deterministic Turing machine (DTM)
Answer: B) Pushdown automaton (PDA)

Which property distinguishes LBAs from Turing machines in terms of computational complexity?

A) LBAs have a finite tape.
B) LBAs use a different set of transitions.
C) LBAs operate in linear space.
D) LBAs have a limited number of states.
Answer: C) LBAs operate in linear space.

Which of the following languages can be recognized by an LBA?

A) All recursively enumerable languages
B) All regular languages
C) All context-free languages
D) All context-sensitive languages
Answer: D) All context-sensitive languages

Which theoretical construct is essential for defining the computational power of LBAs?

A) Halting problem
B) Chomsky hierarchy
C) Pumping lemma
D) P versus NP problem
Answer: B) Chomsky hierarchy

 

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