Analysing input/output-capabilities of mobile processes with a generic type system

Abstract

We introduce a generic type system (based on Milner’s sort system) for the synchronouspolyadic π-calculus, allowing us to mechanise the analysis of input/output capabilities of mobile processes. The parameter of the generic type system is a lattice-ordered monoid, the elements of which are used to describe the capabilities of channels with respect to their input/output-capabilities. The type system can be instantiated in order to check process properties such as upper and lower bounds on the number of active channels, confluence and absence of blocked processes.