Transformations of evolving algebras

Abstract

We give a precise definition of evolving algebras nondeterministic, mathematical machines. All proofs in the paper are based on this definition. First we define constant propagation as a transformation on evolving algebras. Then we extend evolving algebras by macro definitions and define folding and unfolding transformations for macros. Next we introduce a simple transformation to flatten transition rules. Finally a pass separation transformation for evolving algebras is presented For all transformations the operational equivalence of the resulting algebras with the original algebras is proven. In the case of pass separation, we show, that the results of the computations in the original and the transformed evolving algebra are equal. Next we apply pass separation to a simple interpreter. Finally a comparison to other work is given.