The limitations of the NetKAT language primarily stem from its focus on packet forwarding behavior and its restriction to stateless operations. To adapt the verification approach to handle richer network models or properties beyond just packet forwarding behavior, the language and verification techniques could be extended in several ways. One approach could involve introducing support for stateful operations in NetKAT, allowing the specification of more complex network behaviors that involve memory or state retention. This would enable the verification of properties that depend on the history of packet processing or the current state of network devices. Additionally, expanding the language to include constructs for expressing quality of service requirements, security policies, or load balancing strategies would broaden the scope of properties that can be verified. The verification approach would need to evolve to accommodate these richer network models by enhancing the symbolic representations and algorithms to capture the additional complexities introduced by stateful operations and diverse network properties.