Order Hyperproperties

Order hyperproperties are properties describing relationships between multiple execution paths of a system, crucial for verifying complex systems exhibiting concurrency or interactions between multiple agents. Current research focuses on developing efficient model-checking algorithms and monitoring techniques for increasingly expressive hyperproperty logics, including extensions of temporal logics like LTL and ATL*, and employing techniques like non-deterministic planning and Bayesian statistical model checking. This field is significant for its applications in diverse areas such as security verification, multi-agent system analysis, and the verification of neural networks, enabling the formal analysis of complex system behaviors beyond the capabilities of traditional methods.