Rendezvous with Metric Semantics

A comparative semantic study is made of an element of the family of concurrent object-oriented programming languages. Particular attention is paid to two notions: (i) dynamically evolving process structures, including a mechanism to name and refer to processes and a means to create new processes, and (ii) rendez-vous between processes involving the sending and answering of messages and the induced execution of method calls. The methodology of metric semantics is applied in the design of operational and denotational semantics, as well as in the proof of their equivalence. Both semantics employ domains which are determined as fixed points of a contracting functor in the category of complete metric spaces. Moreover, fruitful use is made of the technique of defining semantic meaning functions as fixed points of contracting higher-order mappings. Finally, syntactic and semantics continuations play a pervasive role.