Abstract

The main purpose of this paper is to consider a variant of Propositional Dynamic Logic (PDL) in which the natural program concepts while do od and if then else fi are basic and in which ⌣ is the only non-deterministic program concept. Dropping ⌣ leads to the known system Strict Propositional Dynamic Logic (SPDL). The main result of this paper is that SPDL+⌣ is weaker than PDL. It is pointed out, however, that by extending SPDL+⌣ by propositional assignments a system called Propositional Program Logic (PPL) is obtained which has the same expressive power as PDL.

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