Computational creativity is an emerging branch of artificial intelligence (AI) concerned with algorithms that can create novel and high-quality ideas or artifacts, either autonomously or semi-autonomously in collaboration with people. Quite simply, such algorithms may be described as artificial innovation engines. These technologies raise questions of authorship/inventorship and of agency, which become further muddled by the social context induced by AI that may be physically-embodied or anthropomorphized. These questions are fundamentally intertwined with the provision of appropriate incentives for conducting and commercializing computational creativity research through intellectual property regimes. This paper reviews current understanding of intellectual property rights for AI, and explores possible framings for intellectual property policy in social context.