Two algorithms for order-independent unification are presented.
Both assume that unifications are timestamped, giving a natural
ordering on unifications from lowest timestamp to highest. The
first algorithm permits lower-timestamped unifications to be
performed after higher-timestamped unifications have already been
done, without requiring previous unifications to be backtracked and
later redone. The binding state that results is indistinguishable from
that produced by a lowest-to-highest execution. The second algorithm
extends the first by allowing intermediate unifications to be undone,
again avoiding work in undoing and redoing unifications with higher
timestamps. These algorithms are designed for distributed, fully
AND-parallel Prolog execution; asynchronous events occurring on
different CPSs can be reconciled without too much overhead.
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