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Trace equivalence of well-founded processes via commutativity

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If you have a question about this talk, please contact Uday Reddy.

Gordon Plotkin showed that the set of well-founded processes that perform I/O and finite nondeterminism, taken modulo trace equivalence, is initial among semilattice algebras whose algebra operations commute with binary join. We see that similar phenomena arise for unbounded nondeterminism and finite probabilistic choice. The situation for countable probabilistic choice is work in progress.

Joint work with Nathan Bowler (Hamburg).

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