NSL '94 Proceedings of the first workshop on Non-standard logics and logical aspects of computer science
Ultrametric Semantics of Reactive Programs
LICS '11 Proceedings of the 2011 IEEE 26th Annual Symposium on Logic in Computer Science
PLPV '12 Proceedings of the sixth workshop on Programming languages meets program verification
Electronic Notes in Theoretical Computer Science (ENTCS)
PLPV '13 Proceedings of the 7th workshop on Programming languages meets program verification
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Linear-time temporal logic and functional reactive programming (FRP) are related via a Curry-Howard correspondence. Thereby proofs of "always," "eventually," and "until" propositions correspond to behaviors, events, and processes, respectively. Processes in the FRP sense combine continuous and discrete aspects and generalize behaviors and events. In this paper, we develop a class of axiomatically defined categorical models of FRP with processes. We call these models abstract process categories (APCs). We relate APCs to other categorical models of FRP, namely temporal categories and concrete process categories.