- Theory of Automata MCQs
- Finite Automata MCQs
- Regular Languages
- Context-Free Grammars (CFG)
- Pushdown Automata (PDA) MCQs
- Context-Free Languages MCQs
- Turing Machines MCQs
- Decidability and Undecidability MCQs
- Computational Complexity MCQs
- Advanced Topics in Automata Theory
- Applications of Automata Theory MCQs
Linear-bounded automata MCQs
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