We investigate parametric polymorphism in message-based concurrent programm
ing, focusing on behavioral equivalences in a typed process calculus analog
ous to the polymorphic lambda-calculus of Girard and Reynolds.
Polymorphism constrains the power of observers by preventing them from dire
ctly manipulating data values whose types are abstract, leading to notions
of equivalence much coarser than the standard untyped ones. We study the na
ture of these constraints through simple examples of concurrent abstract da
ta types and develop basic theoretical machinery for establishing bisimilar
ity of polymorphic processes.
We also observe some surprising interactions between polymorphism and alias
ing, drawing examples from both the polymorphic pi-calculus and ML.