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Phrase Structure Grammar

A grammar describes the structure of the sentences of a language in terms of components, or phrases. The mathematical description of phrase structure grammars is due to Chomsky.[See, for example, Aho, A. V. and Ullman, J. D., The Theory of Parsing, Translation, and Compiling, Prentice-Hall, 1972; Hopcroft, J. E. and Ullman, J. D., Formal Languages and their Relation to Automata, Addison-Wesley, 1969.]

Formally, a Grammar G = (T, N, S, P) where: