Linear-bounded automata MCQs

By: Prof. Dr. Fazal Rehman | 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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