Indexed Grammars—An Extension of Context-Free Grammars

Author:

Aho Alfred V.1

Affiliation:

1. Bell Telephone Laboratories, Inc., Murray Hill, New Jersey

Abstract

A new type of grammar for generating formal languages, called an indexed grammar, is presented. An indexed grammar is an extension of a context-free grammar, and the class of languages generated by indexed grammars has closure properties and decidability results similar to those for context-free languages. The class of languages generated by indexed grammars properly includes all context-free languages and is a proper subset of the class of context-sensitive languages. Several subclasses of indexed grammars generate interesting classes of languages.

Publisher

Association for Computing Machinery (ACM)

Subject

Artificial Intelligence,Hardware and Architecture,Information Systems,Control and Systems Engineering,Software

Reference14 articles.

1. AHO A.V. Nested stack automata. (Submitted to a technical journal.) AHO A.V. Nested stack automata. (Submitted to a technical journal.)

2. On the nonexistence of a phrase structure grammar for ALGOL 60

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