A Semiring-based Quantitative Analysis of Mobile Systems

Benjamin Aziz*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We present in this paper, semi-π, an extension of the π-calculus that allows processes to query quantitative values of different actions and decide based on those values, whether an action is feasible or not. Our measure of quantity is based on the general notion of semirings. Furthermore, we develop a syntax-directed static analysis for the new language, which captures the properties of name substitution and semiring value retrieval. Such properties allow us to solve quantitative constraints controlling synchronisations in the analysed systems. We provide an example of a cost analysis of communications in a simple adaptive routing algorithm.

Original languageEnglish
Pages (from-to)3-21
Number of pages19
JournalElectronic Notes in Theoretical Computer Science
Issue number1 SPEC. ISS.
Publication statusPublished - 16 May 2006


  • Mobile Systems
  • Quantitative Resources
  • Semirings
  • Static Analysis


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