Component-based architectures are commonly used in industry to manage the increasing complexity of systems. In such architectures, components interact with each other to achieve the desired functionality. They do so by providing and consuming services to and from each other over their defined interfaces. Interfaces play a key role in managing complexity by abstracting away from implementation details and describing only externally observable behavior. To describe the behavior of an interface and analyze them for correctness, formalisms, such as finite state machines and Petri nets, are commonly used. However, components usually have multiple interfaces and their behavior may depend on each other. Most approaches so far have focused on fully specifying the behavior of a component as a single state machine. We consider partial specification of dependencies between interfaces, expressed as a set of functional constraints. In this paper, we present and formalize three commonly occurring functional constraints. Algorithms are proposed to generate Petri nets satisfying each of these constraints.