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Found in: Page 900

### Discrete Mathematics and its Applications

Book edition 7th
Author(s) Kenneth H. Rosen
Pages 808 pages
ISBN 9780073383095

# a) Define a phrase-structure grammar.b) What does it mean for a string to be derivable from a string w by a phrase-structure grammar G?

1. A phrase structure grammar (V, T, S, and P) represents a language's description; V is the alphabet, T is a collection of terminal symbols, S is the start symbol, and P is a production set.
2. If a string w can be produced from the start symbol S using a series of productions, then the string w can be derived from the phase structure grammar.
See the step by step solution

## Step 1: Definitions

A collection of pieces that can be used to build strings is called an alphabet.

The set of all possible strings across an alphabet is divided into languages.

## Step 2: Phrase-structure grammar

(a)

The description of a language is represented in a phrase structure grammar by the letters V, T, S, and P, which stand for the alphabet, a set of terminal symbols, a set of start symbols, and a set of production symbols, respectively.

## Step 3: The concept of derivable

(b)

The phase structure grammar can be used to derive a string w if the start symbol S can be used to construct the string through a succession of productions.

Therefore, the require definition of phrase structure grammar.