Topology in Process Calculus

A monograph presenting new concepts and tools for the understanding and analysis of approximate correctness of programs in concurrent systems. Professionals, researchers and graduate students in theoretical computer science will find the discussion helpful for developing new concepts for concurrent and real-time systems.

Contenu
1 Introduction.- 2 Process Calculus.- 2.1 Transition Systems.- 2.2 Hennessy-Mi lner Logic.- 2.3 Basic Language.- 2.4 Transitional Semantics.- 2.5 Strong Bisimulations.- 2.6 Bisimulations.- 3 Bisimulation and Trace Limits of Agents 37.- 3.1 Strong Bisimulat ion Limits.- 3.2 *-Strong Bisi mulation Limits.- 3.3 Bisimulati on Limits.- 3.4 Trace Limits.- 4 Limit Behavior of Agents.- 4.1 Modifications of Topologies on Actions.- 4.2 Topologies on Agents.- 4.3 Several Limit Theorems.- 5 Near Bisimulations Defined by Closures.- 5.1 Near Bisimulations in Transition Systems.- 5.2 Near Strong Bisimulations.- 5.3 Near (Weak) Bisimulations.- 6 Bisimulation Indexes Induced by Metrics on Actions.- 6.1 Bisimulation Indexes in Transition Systems.- 6.2 Hennessy-Milner Logical Characterization of Bisimulation Indexes.- 6.3 Strong Bisimulation Indexes.- 6.4 (Weak) Bisimulation Indexes.- 6.5 Approximate Communication.- 6.6 Some Applications: Two Examples in Timed CCS.- 6.7 Some Appli cations: An Example in Real Time ACP.- 7 Conclusion.- References.