0 a flowing together of two rivers -- soutok
the confluence of the Sava into the Danube at Belgrade.
The pulmonary venous return was unobstructed but drained to a confluence before entering the left sided atrium.
Finally, logarithmic terms may arise through a confluence of forced terms and eigensolutions.
We show that the system enjoys properties like type uniqueness, subject reduction, soundness, confluence, and weak normalization.
The problem even exists if we only consider local confluence on ground terms.
Reduction is still local, but in general, no property of confluence can be expected.
The usual way of proving the decidability of such an equivalence relation is by proving confluence and strong normalisation of the corresponding reduction relation.
As in standard term rewriting, we can use local confluence and strong normalisation to prove the confluence of a relation.
Our correctness proofs exploit a new technique we develop based on the notions of uniform confluence and simulations.
