Explain about left linear regular grammar in TOC

Data Structure AlgorithmsComputer ScienceComputers

Regular grammar describes a regular language. It consists of four components, which are as follows −

G = (N, E, P, S)

Where,

  • N − finite set of non-terminal symbols,

  • E − a finite set of terminal symbols,

  • P − a set of production rules, each of one is in the forms

  • S → aB

  • S → a

  • S → ∈,

  • S ∈ N is the start symbol.

The above grammar can be of two forms −

  • Right Linear Regular Grammar

  • Left Linear Regular Grammar

Linear Grammar

When the right side of the Grammar part has only one terminal then it's linear else nonv linear.

Left linear grammar

In a left-regular grammar (also called left-linear grammar), the rules are of the form as given below −

  • L → a, {L is a non-terminal in N and a is a terminal in Σ}

  • L → Ma, {L and M are in N and a is in Σ}

  • L → ∈, {∈ is the empty string}.

The left linear grammar means that the non-terminal symbol will be at the left side.

Example

Consider a language {bnabma| n>=2, m>=2}

The left linear grammar that is generated based on given language is −

S → Bbba       ⇒ last 3 symbols bba
B → Bb| Dbba   ⇒ for bm and bba are for bn followed by a.
D → Db|e       ⇒ for bn-2
raja
Published on 14-Jun-2021 14:48:43
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