Paper: Separability, expressiveness, and decidability in the Ambient Logic (at LICS 2002)
Authors: Daniel Hirschkoff Etienne Lozes Davide SangiorgiAbstract
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 descriptive and discriminating power of AL, focusing on the equivalence on processes induced by the logic (=L). We consider MA, and two Turing complete subsets of it, MA1 and MA2, respectively defined by imposing a semantic and a syntactic constraint on process prefixes. The main contributions include: coinductive and inductive operational characterisations of =L; an axiomatisation of =L on MA2; the construction of characteristic formulas for the processes in MA1 with respect to =L; the decidability of =L on MA1 and on MA2, and its undecidability on MA.
BibTeX
@InProceedings{HirschkoffLozesSang-Separabilityexpress, author = {Daniel Hirschkoff and Etienne Lozes and Davide Sangiorgi}, title = {Separability, expressiveness, and decidability in the Ambient Logic}, booktitle = {Proceedings of the Seventeenth Annual IEEE Symp. on Logic in Computer Science, {LICS} 2002}, year = 2002, editor = {Gordon Plotkin}, month = {July}, location = {Copenhagen, Denmark}, publisher = {IEEE Computer Society Press} }