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arXiv · 1410.7466

Concurrency Models with Causality and Events as Psi-calculi

Håkon Normann·Cristian Prisacariu·Thomas Hildebrandt
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Abstract

Psi-calculi are a parametric framework for nominal calculi, where standard calculi are found as instances, like the pi-calculus, or the cryptographic spi-calculus and applied-pi. Psi-calculi have an interleaving operational semantics, with a strong foundation on the theory of nominal sets and process algebras. Much of the expressive power of psi-calculi comes from their logical part, i.e., assertions, conditions, and entailment, which are left quite open thus accommodating a wide range of logics. We are interested in how this expressiveness can deal with event-based models of concurrency. We thus take the popular prime event structures model and give an encoding into an instance of psi-calculi. We also take the recent and expressive model of Dynamic Condition Response Graphs (in which event structures are strictly included) and give an encoding into another corresponding instance of psi-calculi. The encodings that we achieve look rather natural and intuitive. Additional results about these encodings give us more confidence in their correctness.

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Håkon Normann, Cristian Prisacariu, Thomas Hildebrandt. 2014-10-28. Concurrency Models with Causality and Events as Psi-calculi. https://doi.org/10.4204/eptcs.166.3

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