A paraconsistent annotated logic program called EVALPSN has been developed
for dealing with defeasible deontic reasoning and plausible reasoning, and
applied to various kinds of intelligent control and safety verification.
Moreover, in order to deal with before-after relation between processes(time
intervals), bf(before-after)-EVALPSN has also been developed recently. In
this paper, we review the reasoning system for before-after relation between
processes based on bf- EVALPSN. The system consists of two groups of
inference rules in bf-EVALPSN called basic and transitive bf-inference rules.
The application of the reasoning system to real-time process order control is
introduced with simple examples.