Technical Report CS0234

Title: An Array Assignment for Propositional Dynamic Logic
Authors: J.A. Makowsky and M.L. Tiomkin
Abstract: We propose an extension of propositional dynamic logic which allows a propositional version of an array assignments. In this logic many notions like equivalence of programs, looping and finitely branching are expressible on a propositional level. In fact we show that the resulting logic is equivalent in expressive power to first order logic augmented by a device to expressive transitive closures. In other words, it is (modulo extra predicate symbols) equivalent to first order dynamic logic. Not surprisingly, therefore, the validity problem for this extension is TIl-complete.
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