MULTI-PUSH-DOWN LANGUAGES AND GRAMMARS

Author:

BREVEGLIERI LUCA1,CHERUBINI ALESSANDRA2,CITRINI CLAUDIO2,REGHIZZI STEFANO CRESPI1

Affiliation:

1. Dipartimento di Elettronica e Informazione, Milano, Piazza Leonardo Da Vinci 32, 20133 Milano, Italy

2. Dipartimento di Matematica, Politecnico di Milano, Piazza Leonardo Da Vinci 32, 20133 Milano, Italy

Abstract

A new class of languages, called multi-push-down (mpd), that generalize the classical context-free (cf, or Chomsky type 2) ones is introduced. These languages preserve some important properties of cf languages: a generalization of the Chomsky-Schützenberger homomorphic characterization theorem, the Parikh theorem and a “pumping lemma” are proved. Multi-push-down languages are an AFL. Their recognizers are automata equipped with a multi-push-down tape. Multi-push-down languages form a hierarchy based on the number of push-down tapes.

Publisher

World Scientific Pub Co Pte Lt

Subject

Computer Science (miscellaneous)

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