×

zbMATH — the first resource for mathematics

Unique fixpoint induction for message-passing process calculi. (English) Zbl 0998.68089
Summary: We present a proof system for message-passing process calculi with recursion. The key inference rule to deal with recursive processes is a version of unique fixpoint induction for process abstractions. We prove that the proof system is sound and also complete for guarded regular message-passing processes. We also show that the system is incomplete for unguarded processes and discuss more powerful extensions with inductive inference rules.

MSC:
68Q85 Models and methods for concurrent and distributed computing (process algebras, bisimulation, transition nets, etc.)
Software:
Coq
PDF BibTeX XML Cite
Full Text: DOI