Array P systems with permitting features

• A new variety of array P system is constructed for generating picture languages consisting of picture arrays.
• The feature of permitting symbols is used in the rules.
• The advantage of this approach is that there is a reduction in the number of membranes used in the construction.

The biologically inspired model, known as P system, has proved to be a general framework for investigating several problems related to computing in different fields. Two-dimensional picture array languages is one such area in which different kinds of P systems have been constructed for picture array generation. Incorporating the feature of permitting symbols in the rules, a new variety of array P system is constructed here for generating picture languages consisting of picture arrays. The advantage of this approach is that there is a reduction in the number of membranes used in the construction, in comparison to the existing array P system models.