Q. Given:
S->aSb

S->e

S-> A

A->aA

B->C

C->D

The ratio of number of useless variables to number of useless production is:

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Q. Given grammar G:
S->aS|A|C

A->a

B->aa

C->aCb

Find the set of variables thet can produce strings only with the set of terminals.

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Q. Given grammar:
S->aS|A

A->a

B->aa

Find the number of variables reachable from the Starting Variable?

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Q. Inorder to simplify a context free grammar, we can skip the following operation:

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Q. Given a Grammar G:
S->aA

A->a

A->B

B->A

B->bb

Which among the following will be the simplified grammar?

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Q. Simplify the given grammar:
A-> a| aaA| abBc

B-> abba| b

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Q. In context to the process of removing useless symbols, which of the following is correct?

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Q. The use of variable dependency graph is in:

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Q. The variable which produces an epsilon is called:

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Q. Statement:
For A-> e ,A can be erased. So whenever it appears on the left side of a production, replace with another production without the A.

State true or false:

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Q. Simplify the given grammar:
S->aXb

X->aXb | e

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Q. Consider the following grammar:
A->e

B->aAbC

B->bAbA

A->bB

The number of productions added on the removal of the nullable in the given grammar:

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Q. Let G=(V, T, P, S) be a CFG such that _____________. Then there exists an equivalent grammar G’ having no e productions.

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Q. For each production in P of the form:
A-> x1x2x3…xn

put into P’ that production as well as all those generated by replacing null variables with e in all possible combinations. If all x(i) are nullable,

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Q. For the given grammar G:
S->ABaC

A->BC

B->b| e

C->D| e

D-> d

Remove the e productions and generate the number of productions from S in the modified or simplified grammar.

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Q. Consider G=({S,A,B,E}, {a,b,c},P,S), where P consists of S →AB, A →a, B →b and E →c.
Number of productions in P’ after removal of useless symbols:

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Q. Given grammar G:
S->aS| AB

A-> e

B-> e

D-> b

Reduce the grammar, removing all the e productions:

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Q. Which among the following is the format of unit production?

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Q. Given Grammar G:
S->aA

A->a| A

B->B

The number of productions to be removed immediately as Unit productions:

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Q. Given grammar:
S->aA

A->a

A->B

B-> A

B->bb

Which of the following is the production of B after simplification by removal of unit productions?

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