A formal study on generative power of a class of array token Petri net structure

Abstract

Adjunct array token Petri net structure (AATPNS) is a recently introduced rectangular picture generating device which extends Array token Petri net structure. AATPNS generates some of the classical classes of picture languages namely Siromoney matrix languages and kolam array languages, and a recent, pure 2D context-free languages. In this paper we concentrate our attention on determining the generative power of AATPNS by comparing it with some expressive rectangular picture grammar models and also with the classes of languages recognizable by tiling systems. We also study certain closure properties with respect to basic array operations.