If L1 and L2 are context free languages and R a regular set,...

MCQ

If L1 and L2 are context free languages and R a regular set, one of the languages below is not necessarily a context free language, which one?

L1 . L2

L1 ? L2

L1 ? R

L1 ? L2

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MCQ

Which of the following statements is true?

If a language is context free it can always be accepted by a deterministic push-down automaton

The union of two context free languages is context free

The intersection of two context free languages is context free

The complement of a context free language is context free

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MCQ

PDA can be represented with the help of

Instantaneous description

Transition diagram

Transition table

All of these

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MCQ

Define for a context free language L ? {0, 1}* , init(L)={u ? uv ? L for some v in {0,1}?} ( in other words, init(L) is the set of prefixes of L) Let L = {w ? w is nonempty and has an equal number of 0

the set of all binary strings with unequal number of 0's and 1's

the set of all binary strings including null string

the set of all binary strings with exactly one more 0 than the number of 1

None of the above

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MCQ

Consider the following languages.

L₁ = {aⁱ b^j c^k | i = j, k ? 1}
L₁ = {aⁱ b^j | j = 2i, i ? 0}
Which of the following is true?

L1 is not a CFL but L2 is

	L1 ? L2 = ? and L1 is non-regular

	L1 ? L2 = ? and L1 is non-regular

There is a 4-state PDA that accepts L1, but there is no DPDA that accepts L2

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MCQ

A PDA machine configuration (p, w, y) can be correctly represented as:

(current state, unprocessed input, stack content)

(unprocessed input, stack content, current state)

(current state, stack content, unprocessed input)

none of the mentioned

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Finite Automata

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