Construct a context-free grammar for the language L={ab'ab'an> 1}.

Question

Question

Construct a context-free grammar for the language L={ababan> 1}.

Answer 1

Answer #1

Context Free Grammar :

A context-free grammar (CFG) consisting of a finite set of grammar rules is a quadruple (N, T, P, S) where

N is a set of non-terminal symbols.
T is a set of terminals.
P is a set of rules, P: N → (N ∪ T)*, i.e., the left-hand side of the production rule P does have any right context or left context.
S is the start symbol.

Context Free Grammar for Language L = { a.bⁿ.a.bⁿ.a | n>1} is

The productions are:

S -> aTa

T -> bQb

Q -> bCb | bQb

C ->a

Terminals are {a,b}

Non Terminals are { T,C,Q}

S is the start symbol.

These productions will generate all possible string in the given language L.

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Answer 2

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