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

We introduce a generic type system for the synchronous polyadic 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 processes concurrently using a channel, confluence and absence of blocked processes.