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TE ISE Computer Engineering

TE ISE Computer Engineering

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{aⁿb³ⁿ | n > 0}

{aⁿb²ⁿ | n > 0}

{aⁿb⁴ⁿ | n > 0}

{aⁿbⁿ | n > 0}

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Let G be the following grammar with production rules

S → aSbS | bSaS | ε

Which of the following describes L(G)?

The set of all strings of the form a^n b^n.

The set of all even-length strings.

The set of all palindromes over {a,b}.

The set of all strings with equal number of a’s and b’s.

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Let G1 generate L1 = { a^n b^n | n ≥ 0 } and G2 generate L2 = { b^n c^n | n ≥ 0 }. Then L1 ∩ L2 is

{ a^n b^n c^n | n ≥ 0 }

❌

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S → aSb | SS | ε

Which of the following strings does not belong to L(G)?

aabb

aabbb

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Which of the following is true for context-free grammars (CFGs)?

The intersection of two context-free languages is always context-free.

The complement of a context-free language is always context-free.

Every regular language is non-context-free.

The union of two context-free languages is always context-free.

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Which of the following languages is generated by an unambiguous CFG?

L = { ww | w ∈ {a,b}* }

L = { a^i b^j c^k | i = j or j = k }

L = { a^n b^n | n ≥ 0 }

L = { a^n b^m c^n | n, m ≥ 0 }

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(for a binary number)

2 and 4

3 and 5

2 and 5

3 and 6

100%

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Which of the following grammars is ambiguous?

S → aAb, A → aAb | ε

S → aSb | ε

S → aSb | S → aSbb | S → ε

S → aS | bS | ε

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Arrange the correct order of components in a Fuzzy Rule Based system:

A) Rule Base

B) Fuzzification

C) Inference engine

D) Defuzzification

A), B), C) , D)

B), A), C) , D)

100%

A), B), D) , C)

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Which of the following membership functions must have a height of 1.0?

Triangular function

Gaussian function

Trapezoidal function

None of the above

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