Acyclic Solos and Differential Interaction Nets

Autor: Ehrhard, Thomas, Laurent, Olivier
Rok vydání: 2010
Předmět:
Zdroj: Logical Methods in Computer Science, Volume 6, Issue 3 (September 1, 2010) lmcs:771
Druh dokumentu: Working Paper
DOI: 10.2168/LMCS-6(3:11)2010
Popis: 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.
Databáze: arXiv