Classical

Theory Of Computation MCQ - Recursively enumerable sets and Turning machines

6:  

Which of the following is not primitive recursive but partially recursive ?

A.

Carnot's function 

B.

Ricmann function

C.

Bounded function

D.

Ackermann's function

 
 

Option: D

Explanation :


7:  

Turing machine (TM) is more powerful than FMS (Finite State Machine) because

A.

tape movement is confined to one direction

B.

it has no finite state

C.

it has the capability to remember arbitrarily long sequences of input symbols

D.

none of these

 
 

Option: C

Explanation :


8:  

If f : N--> N. If L can be recoognized by a TM T, so that τT(n) ≤ f (n) for all but finitely many n, then ( Time (f) means Time ( max ( f, 2n +2))). 

A.

L  ∈Time (f)

B.

L  ∈  Time(cf)

C.

L  ∈ Time (h)

D.

none of these

 
 

Option: A

Explanation :


9:  

Let s is a step-counting function satisfying s(n) ≥ n, and L be a language accepted by a (multitape) TM T. If tape heads of T do not move past square s(n) on any of the tapes for an input string of length n, then T ∈

A.

Space(s)

B.

F(n)

C.

Time(f)

D.

Time(h)

 
 

Option: A

Explanation :


10:  

 Which of the following statements is false ?

A.

Halting problem of Turing machines is undecidable

B.

Determining whether a context-free grammar is ambiguous is undecidable

C.

Given two arbitrary context-free grammars G1 G2 and it is undecidable whether L (G1) = L (G2).

D.

Given two regular grammars G1 G2 and it is undecidable whether L (G1) = L (G2)

 
 

Option: D

Explanation :




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Syllabus covered in this section is-

  • Regular languages and finite automata
  • Context free languages and Push-down automata
  • Recursively enumerable sets and Turing machines
  • Undecidability, NPcompleteness
  • Models of computation-Finite Automata
  • Pushdown Automata
  • Non-detenninism and NFA. DPDA and PDAs and Languages accepted by these Structures
  • Grammars, Languages,
  • Non- computability and Examples of non-computable problems

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