Abstract

Formal systems are proposed and constructed to generate cellular arrays corresponding to developmental stages of some simple organisms: lower plants, snail embryos and leaves. Sets of these arrays are construed as developmental languages, and their complexity properties and generating grammars are compared with the classes of languages in the Chomsky hierarchy. Various branching patterns are compared with respect to such complexity classes. Theorems were obtained concerning partial characterizations of the class of developmental systems without cellular interactions, and some of the mathematical properties of this class are discussed.

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