Abstract: 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.
Key words: before-after relation, EVALPSN, bf-EVALPSN, annotated logic program, reasoning system.