Algorithms play a central role in social media platforms – and may contribute to systemic, structural challenges to democracy and human rights. As identified in the White Paper, through their decisions around the design of algorithms, the platforms have a significant impact on citizens’ rights to information and free expression, our rights not to be discriminated against or abused, and core democratic values. As such, there is a need to establish new systems for transparency and oversight or auditing of algorithm design and algorithmic decision-making. This paper outlines four proposed approaches to achieve this, alongside a set of essential characteristics for any inspection arrangements.