Skip to Main content Skip to Navigation
Journal articles

SEPARABILITY IN THE AMBIENT LOGIC

Abstract : 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. We study some basic questions concerning the discriminating power of AL, focusing on the equivalence on processes induced by the logic (=L). As underlying calculi besides MA we consider a subcalculus in which an image-finiteness condition holds and that we prove to be Turing complete. Synchronous variants of these calculi are studied as well. In these calculi, we provide two operational characterisations of =L: a coinductive one (as a form of bisimilarity) and an inductive one (based on structual properties of processes). After showing =L to be stricly finer than barbed congruence, we establish axiomatisations of =L on the subcalculus of MA (both the asynchronous and the synchronous version), enabling us to relate =L to structural congruence. We also present some (un)decidability results that are related to the above separation properties for AL: the undecidability of =L on MA and its decidability on the subcalculus.
Complete list of metadatas

Cited literature [33 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01905180
Contributor : Etienne Lozes <>
Submitted on : Thursday, October 25, 2018 - 3:57:34 PM
Last modification on : Thursday, March 5, 2020 - 12:20:21 PM
Document(s) archivé(s) le : Saturday, January 26, 2019 - 3:15:45 PM

File

LHS-lmcs08.pdf
Publisher files allowed on an open archive

Identifiers

Citation

Daniel Hirschkoff, Etienne Lozes, Davide Sangiorgi. SEPARABILITY IN THE AMBIENT LOGIC. Logical Methods in Computer Science, Logical Methods in Computer Science Association, 2008, 4, pp.1 - 44. ⟨10.2168/LMCS-4⟩. ⟨hal-01905180⟩

Share

Metrics

Record views

80

Files downloads

132