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Towards Computational Foreseeability
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Position paper advocating a computational foreseeability framework for autonomous vehicles based on the legal Hand/BPL formula (burden < probability × loss), with worked examples and open research challenges.
Problem
Autonomous systems, especially AVs, lack an accountable, legally grounded way to decide what counts as foreseeable and acceptable behavior in safety-critical scenarios; current data-driven foreseeability bounds are rigid, ignore uncertainty, and rely on simulation data.
Approach
Adapt the legal BPL (Hand) formula to computationally establish foreseeability: compute burden as the reward gap between a real AV and a reasonable-AV standard, probability from reachable-state failure likelihood, and loss from cost tables (e.g., NSC crash costs), then compare burden to probability times loss.
Key results
- Worked neighborhood example yields burden 28,000 versus combined probability-loss 1,162,965, judged foreseeable.
- Highway example yields burden 1,878,000 versus combined probability-loss 868,190, judged unforeseeable.
- The paper presents no empirical evaluation; the numbers are illustrative calculations.
Limitations
- No implemented system or empirical validation; illustrative only.
- Unresolved challenges in defining reasonable AV standards, burden, and probability estimation.
- Loss values depend on contested monetary valuation of human life and lack ground truth for evaluation.
Experimental setup
Datasets: National Safety Council economic cost of motor vehicle crashes (2022)
Baselines: data-driven foreseeability bounds cost minimization reward maximization
Builds on: Hand formula (BPL) scenario-based verification opportunity cost
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