Elements of Mathematical Analysis in PVS
TPHOLs '96 Proceedings of the 9th International Conference on Theorem Proving in Higher Order Logics
Aircraft Trajectory Modeling and Altering Algorithm Verification
TPHOLs '00 Proceedings of the 13th International Conference on Theorem Proving in Higher Order Logics
PVS: A Prototype Verification System
CADE-11 Proceedings of the 11th International Conference on Automated Deduction: Automated Deduction
Tactical conflict detection and resolution in a 3-d airspace
Tactical conflict detection and resolution in a 3-d airspace
On the Formal Verification of Conflict Detection Algorithms
On the Formal Verification of Conflict Detection Algorithms
The Flight Deck Perspective of the NASA Langley AILS Concept
The Flight Deck Perspective of the NASA Langley AILS Concept
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Safety assessment of new air traffic management systems is a main issue for civil aviation authorities. Standard techniques such as testing and simulation have serious limitations in new systems that are significantly more autonomous than the older ones. In this paper, we present an innovative approach for establishing the correctness of conflict detection systems. Fundamental to our approach is the concept of trajectory, which is described by a continuous path in the x-y plane constrained by physical laws and operational requirements. From the model of trajectories, we extract, and formally prove, high level properties that can serve as a framework to analyze conflict scenarios. We use the AILS (Airborne Information for Lateral Spacing) alerting algorithm as a case study of our approach.