Definability in dynamic logic

Albert R. Meyer, Rohit Parikh
1981 Journal of computer and system sciences (Print)  
We study the expressive power of various versions of Dynamic Logic and compare them with each other as well as with standard languages in the logical literature. One version of Dynamic Logic is equivalent to the infinitary logic Lz:"" but regular Dynamic Logic is strictly less expressive. In particular, the ordinals ww and 0".2 are indistinguishable by formulas of regular Dynamic Logic. We also study the effects of including array assignments and/or random assignments on the expressive power of Dynamic Logic.
doi:10.1016/0022-0000(81)90016-7 fatcat:xqf6cd7tqja7pjigizjidcko7e