Many human and machine reasoning tasks require complicated inferences
between objects and events, in which the constituting inference proces
ses depends in turn on successive inferences on more basic binary rela
tions. Given a set of n binary relations between in different objects
or events, it is possible to infer other consistent binary relations,
to check for relation inconsistency, to resolve conflicts in multiple
inferences, by an efficient form of parallel computation: a binary rel
ation inference network. This paper proposes a synchronous computation
al mechanism for such an inference network, and discusses its topology
and physical implementation structures. Network properties and behavi
ours have also been studied, and some interesting results on computati
onal passes, structural graph, unconstrained and constrained networks,
energy functions and convergence conditions are obtained. Potential a
pplications of the inference network for a time-referencing problem an
d for an autonomous air-traffic controller are technically feasible.