To solve the given problem of matching models from LIST-I with their corresponding descriptions in LIST-II, we must understand the characteristics of each software process model:

1. V-Model: This model is an extension of the waterfall model and emphasizes verification and validation. It is also known as the classic life cycle due to its structured, sequential flow. Thus, it matches with option II. V-Model → II. Classic life cycle
2. Incremental Process Model: In this model, the system functionality is developed in increments or parts, where each increment adds some functional capability to the software. This approach allows the delivery of a core product at first and improvements later. Thus, it matches with option IV. Incremental Process Model → IV. Core product
3. Spiral Model: This is a risk-driven process model generator that emphasizes risk assessment and management throughout the phases. Here, each iteration is made with a focus on risk analysis making it match option III. Spiral Model → III. Risk Driven
4. Concurrent Model: This model is suited to implementing the concurrent phases that enable different activities to be performed in parallel and it organizes tasks into states triggered by events, hence it matches with option I. Concurrent Model → I. Trigger transition

Thus, based on the above analysis, the correct matching is: A-II, B-IV, C-III, D-I. This aligns with the provided correct answer.