Parallelism and Synchronization in an Infinitary Context

Ugo Dal Lago (1, 2) , Claudia Faggian (3) , Benoît Valiron (4, 5) , Akira Yoshimizu (6)

1 FOCUS - Foundations of Component-based Ubiquitous Systems
2 UNIBO - Alma Mater Studiorum Università di Bologna = University of Bologna
3 PPS - Preuves, Programmes et Systèmes
4 LRI - Laboratoire de Recherche en Informatique
5 CentraleSupélec
6 UTokyo - The University of Tokyo

We study multitoken interaction machines in the context of a very expressive linear logical system with expo-nentials, fixpoints and synchronization. The advantage of such machines is to provide models in the style of the Geometry of Interaction, i.e., an interactive semantics which is close to low-level implementation. On the one hand, we prove that despite the inherent complexity of the framework, interaction is guaranteed to be deadlock-free. On the other hand, the resulting logical system is powerful enough to embed PCF and to adequately model its behaviour, both when call-by-name and when call-by-value evaluation are considered. This is not the case for single-token stateless interactive machines.

Domaines: Logique en informatique [cs.LO]

Ugo Dal Lago, Claudia Faggian, Benoît Valiron, Akira Yoshimizu. Parallelism and Synchronization in an Infinitary Context. LICS 2015, Jul 2015, Kyoto, Japan. ⟨10.1109/LICS.2015.58⟩. ⟨hal-01231813⟩