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Theory Of Computation

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Topics include regular and context-free languages, decidable and undecidable problems, reducibility, recursive function theory, time and space measures on computation, completeness, hierarchy theorems, inherently complex problems, oracles, probabilistic computation, and interactive proof systems.

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“Deterministic Finite Automata-Introduction and Definition”.

1. Which of the following not an example Bounded Information?
a) fan switch outputs {on, off}
b) electricity meter reading
c) colour of the traffic light at the moment
d) none of the mentioned
Answer: b

Explanation: Bounded information refers to one whose output is limited and it cannot be
said what were the recorded outputs previously until memorized.


2. A Language for which no DFA exist is a________
a) Regular Language
b) Non-Regular Language
c) May be Regular
d) Cannot be said
Answer: b

Explanation: A language for which there is no existence of a deterministic finite automata
is always Non Regular and methods like Pumping Lemma can be used to prove the
same.


3. A DFA cannot be represented in the following format
a) Transition graph
b) Transition Table
c) C code
d) None of the mentioned
Answer: d

Explanation: A DFA can be represented in the following formats: Transition Graph,
Transition Table, Transition tree/forest/Any programming Language.

, 4. What the following DFA accepts?




a) x is a string such that it ends with ‘101’
b) x is a string such that it ends with ‘01’
c) x is a string such that it has odd 1’s and even 0’s
d) x is a strings such that it has starting and ending character as 1
Answer: a

Explanation: Strings such as {1101,101,10101} are being accepted while {1001,11001}
are not. Thus, this conclusion leads to option a.


5. When are 2 finite states equivalent?
a) Same number of transitions
b) Same number of states
c) Same number of states as well as transitions
d) Both are final states
Answer: c

Explanation: Two states are said to be equivalent if and only if they have same number of
states as well as transitions.

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