A Straightforward Translation of D0L Systems in the Declarative Data-Parallel Language

. L Systems are a mathematical formalism originally designed to model the biological growth of plants. They are based upon a parallel rewriting mechanism. We show in this paper that there exists an equivalence between the class of D0L Systems and a particular construction of programs in the 81/2 declarative data-parallel language. 1 Introduction 81/2 is a declarative data-parallel language aimed at the simulation of dynamical systems. Its main structure is the fabric which is a stream [1, 2, 3] of collections [4]. The stream aspect of the fabric is used to describe the time axis of the simulation whereas the collection aspect of the fabric describe the space axis of the simulation. Because of space restrictions, we will not detail the 81/2 language here. The reader should refer to the paper "Introducing dynamicity in the data-parallel language 81/2" in these proceedings or to [5]. An 81/2 program is a set of equations defining the relations between the variables of the dynamical syst..