Along with advances of artificial intelligence into society, a situation has emerged in which artificial intelligence is closely related to the real world and legal and ethical problems caused by artificial intelligence naturally occur. Problems with AI decision making systems used by governments would be very critical since it directly relates with human rights. We call this kind of AI systems by which governments replace human officials "algorithmic law". In this research, we apply logical inference for conflict detection and resolution for compliance check of legal and ethical norms to algorithmic law whose specification is represented explicitly (which we call white box algorithmic law) and we apply case-based generalization to generalize a violated case in algorithmic law whose specification is not represented such as deep learning-based algorithmic law (which we call black box algorithmic law).