Unifying Theories of Time with Generalised Reactive Processes

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Hoare and He’s theory of reactive processes provides a unifying foundation for the formal semantics of concurrent and reactive languages. Though highly applicable, their theory is limited to models that can express event histories as discrete sequences. In this paper, we show how their theory can be generalised by using an abstract trace algebra. We show how the algebra, notably, allows us to also consider continuous-time traces and thereby facilitate models of hybrid systems. We then use this algebra to reconstruct the theory of reactive processes in our generic setting, and prove characteristic laws for sequential and parallel processes, all of which have been mechanically verified in the Isabelle/HOL proof assistant.
Original languageEnglish
Pages (from-to)47-52
Number of pages6
JournalInformation Processing Letters
Early online date23 Feb 2018
Publication statusPublished - Jul 2018

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© Elsevier, 2018. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy.


  • cs.LO
  • cs.FL

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