  We study the legal challenges in automated decision-making by analysing
conventional algorithmic fairness approaches and their alignment with
antidiscrimination law in the United Kingdom and other jurisdictions based on
English common law. By translating principles of anti-discrimination law into a
decision-theoretic framework, we formalise discrimination and propose a new,
legally informed approach to developing systems for automated decision-making.
Our investigation reveals that while algorithmic fairness approaches have
adapted concepts from legal theory, they can conflict with legal standards,
highlighting the importance of bridging the gap between automated decisions,
fairness, and anti-discrimination doctrine.
