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arXiv · 1007.0120

Acyclic Solos and Differential Interaction Nets

Thomas Ehrhard·Olivier Laurent
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Abstract

We present a restriction of the solos calculus which is stable under reduction and expressive enough to contain an encoding of the pi-calculus. As a consequence, it is shown that equalizing names that are already equal is not required by the encoding of the pi-calculus. In particular, the induced solo diagrams bear an acyclicity property that induces a faithful encoding into differential interaction nets. This gives a (new) proof that differential interaction nets are expressive enough to contain an encoding of the pi-calculus. All this is worked out in the case of finitary (replication free) systems without sum, match nor mismatch.

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Thomas Ehrhard, Olivier Laurent. 2010-09-01. Acyclic Solos and Differential Interaction Nets. https://doi.org/10.2168/lmcs-6(3%3A11)2010

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