Towards an algebraic theory of typed mobile processes
Yuxin Deng and Davide Sangiorgi
The impact of types on the algebraic theory of the $\pi$-calculus is
studied. The type system has capability types. They allow one to
distinguish between the ability to read from a channel, to write to a
channel, and both to read and to write. They also give rise to a
natural and powerful subtyping relation.
Two variants of typed bisimilarity are considered, both in their late and
in their early version. For both of them, proof systems that are sound
and complete on the closed finite terms are given. For one of the two
variants, a complete axiomatisation for the open finite terms is also
presented.