Separability, expressiveness, and decidability in the ambient logic

D. Hirschkoff1, E. Lozes1, D. Sangiorgi2
1LIP-ENS Lyon, France
2INRIA, France

Tóm tắt

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 (=/sub L/). We consider MA, and two Turing complete subsets of it, MA/sub IF/ and MA/sub IF//sup syn/, respectively defined by imposing a semantic and a syntactic constraint on process prefixes. The main contributions include: coinductive and inductive operational characterisations of =/sub L/; an axiomatisation of =/sub L/ on MA/sub IF//sup syn/; the construction of characteristic formulas for the processes in MA/sub IF/ with respect to =/sub L/; the decidability of =/sub L/ on MA/sub IF/ and on MA/sub IF//sup syn/, and its undecidability on MA.

Từ khóa

#Logic #Chromium #Calculus #Database languages #Switches #Computer science #Query processing #Shape

Tài liệu tham khảo

10.1145/360204.375707 milner, 1989, Communication and Concurrency milner, 1999, Communicating and Mobile Systems The ?-Calculus 10.1145/2455.2460 10.1006/inco.1996.0008 engelfriet, 1996, Multisets and structural congruence of the ?-calculus with replication 10.1016/S0019-9958(86)80031-6 charatonik, 2001, The decidability of model checking mobile ambients, Proc of CSL'01 dal-zilio, 2000, Structural congruence for ambients is decidable, LNCS, 1961 10.1006/inco.1994.1028 caires, 2002, A Spatial Logic for Concurrency (Part II) sangiorgi, 2001, The ?-calculus A theory of mobile processes caires, 2001, A spatial logic for concurrency (Part I), Proceedings of TACAS'01 busi, 2002, On the expressiveness of Movement in Pure Mobile Ambients cardelli, 2001, Logical properties of name restriction, LNCS, 2044 10.1016/S1571-0661(05)80699-1 cardelli, 2001, A query language based on the ambient logic, LNCS, 2028, 1 10.1145/604264.604278 calcagno, 2001, Computability and complexity results for a spatial assertion language for data structures, LNCS, 2245 10.1145/325694.325742 10.1145/292540.292550