Abstract-Multi-processor Systems on Chip (MPSoCs) execute multiple applications concurrently. These applications may belong to different domains, i.e., may have firm-, soft-, or non-realtime requirements. A composable system simplifies system design, integration, and verification by avoiding the inter-application interference. Existing work demonstrates composability for applications expressed using a single model of computation. For example, Kahn Process Network (KPN) and dataflow are two common data-driven parallel models of computation, each with different properties and suited for different application domains. This paper extends existing work with support for concurrent, composable execution of KPN and dataflow applications on the same MPSoC platform. We formalize a unified execution model by defining its operations that implement the different models of computation on the MPSoC, and discuss the trade-offs involved. Our experiments indicate that multiple applications modeled in KPN and dataflow run composably on an MPSoC platform.