On the Expressive Power of Global and Local Priority in Process Calculi

Priority is a frequently used feature of many computational systems. In this paper we study the expressiveness of two process algebras enriched with different priority mechanisms. In particular, we consider a finite (i.e. recursion-free) fragment of asynchronous CCS with global priority (FAP, for short) and Phillips’ CPG (CCS with local priority), and we contrast their expressive power with that of two non-prioritised calculi, namely the π-calculus and its broadcast-based version, called bπ. We prove, by means of leader-election-based separation results, that there exists no encoding of FAP into π-Calculus or CPG, under certain conditions. Moreover, we single out another problem in distributed computing, we call the last man standing problem (LMS for short), that better reveals the gap between the two prioritised calculi above and the two non prioritised ones, by proving that there exists no parallel-preserving encoding of the prioritised calculi into the non-prioritised calcul...

• Type: Conference
• Year: 2007
• Where: CONCUR
• Authors: Cristian Versari, Nadia Busi, Roberto Gorrieri
• Keywords: CONCUR 2007, Different Priority Mechanisms, Non Prioritised Ones, Non-prioritised Calculi