This paper extends the logical inference of Horn clauses in Petri net
models to cover a large class of non-Horn clauses. Based on four-value
d logic and the conflict transition concept, we show how the Petri net
model for this class of non-Horn clauses can be constructed. The clau
se inference is solved by the T-invariant method or the fixpoint of ma
rkings. Both forward and backward inference can be used in our:model.
It is further shown that these techniques are efficient for the common
classes of monotonic reasoning. (C) 1998 John Wiley & Sons, Inc.