On Interval Semantics of Inhibitor and Activator Nets

An interval operational semantics - in a form of interval sequences and step sequences - is introduced for elementary activator nets, and a relationship between inhibitor and activator nets is discussed. It is known that inhibitor and activator nets can simulate themselves for both standard firing sequence semantics and firing step sequence semantics. This paper shows that inhibitor and activator nets are not equivalent with respect to interval sequence and interval step sequence semantics, however, in some sense, they might be interpreted as equivalent with respect to pure interval order operational semantics.