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This paper introduces a type system for resource management in the context ofnested virtualization. With nested virtualization, virtual machines competewith other processes for the resources of their host environment in order toprovision their own processes, which could again be virtual machines. Thecalculus of virtually timed ambients formalizes such resource provisioning,extending the capabilities of mobile ambients to model the dynamic creation,migration, and destruction of virtual machines. The proposed type system usesassumptions about the outside of a virtually timed ambient to guaranteeresource provisioning on the inside. We prove subject reduction and progressfor well-typed virtually timed ambients, expressing that upper bounds onresource needs are preserved by reduction and that processes do not run out ofresources.

Assumption-Commitment Types for Resource Management in Virtually Timed Ambients