Turing machine as a language recognizer and transducer MCQs

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

xWhich of the following best describes the role of a Turing machine in the context of language recognition?

A) It recognizes all regular languages.
B) It recognizes all context-free languages.
C) It recognizes all recursively enumerable languages.
D) It recognizes all context-sensitive languages.
Answer: C) It recognizes all recursively enumerable languages.

What is a characteristic feature of a Turing machine compared to a Finite Automaton or Pushdown Automaton?

A) It has an infinite amount of memory.
B) It can only recognize regular languages.
C) It cannot recognize context-free languages.
D) It has a fixed amount of memory.
Answer: A) It has an infinite amount of memory.

Which aspect of a Turing machine allows it to act as a transducer?

A) Its ability to recognize regular languages
B) Its transition function that maps input symbols to output symbols
C) Its stack for storing symbols
D) Its alphabet of input symbols
Answer: B) Its transition function that maps input symbols to output symbols

True or False: Every Turing machine that recognizes a language can also transduce strings into other strings.

A) True
B) False
Answer: B) False

Which of the following is a correct statement about Turing machines as transducers?

A) They always produce a unique output for every input.
B) They can modify the input tape during computation.
C) They are limited to recognizing only regular languages.
D) They have a finite number of states.
Answer: B) They can modify the input tape during computation.

In the context of Turing machines, what does the concept of decidability refer to?

A) The ability to recognize a language without errors
B) The ability to determine whether a given string is in the language
C) The ability to transduce strings between different languages
D) The ability to generate all strings in the language
Answer: B) The ability to determine whether a given string is in the language

Which of the following is a primary function of the tape head in a Turing machine?

A) To store the input alphabet
B) To read and write symbols on the tape
C) To manage the stack operations
D) To control the transition between states
Answer: B) To read and write symbols on the tape

Which property distinguishes a Turing machine from other automata in terms of computational power?

A) The ability to recognize regular languages
B) The use of a stack for temporary storage
C) The presence of an infinite tape
D) The requirement for a fixed number of states
Answer: C) The presence of an infinite tape

Which type of Turing machine is capable of producing a sequence of symbols as output during computation?

A) Deterministic Turing machine
B) Non-deterministic Turing machine
C) Universal Turing machine
D) Transducer Turing machine
Answer: D) Transducer Turing machine

What is the primary limitation of Turing machines in practical computation, despite their theoretical power?

A) They can only operate on finite input lengths.
B) They require an infinite amount of time to compute any non-trivial function.
C) They cannot recognize recursively enumerable languages.
D) They are unable to handle real-time data processing.
Answer: A) They can only operate on finite input lengths.

 

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