Automata on flows
Petter Remen

Abstract:
We introduce a coalgebraic generalization of an infinite word, namely
a sourced flow, followed by a definition of what it means for an
automaton to accept a sourced flow, thereby generalizing the notion of
\omega-regularity. We show that this definition yields a finitary
description of acceptance for finite sourced flows.  We end by
presenting three characterization results on regular classes of finite
sourced flows.