On the Expressiveness of the Ambient Logic

Daniel Hirschkoff (1) , Etienne Lozes (2) , Davide Sangiorgi (3)

1 LIP - Laboratoire de l'Informatique du Parallélisme
2 LSV - Laboratoire Spécification et Vérification [Cachan]
3 DISI - Dipartimento di Scienze dell'Informazione [Bologna]

The Ambient Logic (AL) has been proposed for expressing properties of process mobility in the calculus of Mobile Ambients (MA), and as a basis for query languages on semistructured data. In this paper, we study the expressiveness of AL. We define formulas for capabilities and for communication in MA. We also derive some formulas that capture finitess of a term, name occurrences and persistence. We study extensions of the calculus involving more complex forms of communications, and we define characteristic formulas for the equivalence induced by the logic on a subcalculus of MA. This subcalculus is defined by imposing an image-finiteness condition on the reducts of a MA process.

Mots clés: Spatial Logics; Ambients

Domaines: Logique en informatique [cs.LO]

Daniel Hirschkoff, Etienne Lozes, Davide Sangiorgi. On the Expressiveness of the Ambient Logic. 2005. ⟨hal-00009279⟩