Adjudicature is a legal term and refers to the process of resolving a dispute or legal issue through a court of law. There are several synonyms that can be used in place of adjudicature such as arbitration, judgment, decision, verdict, ruling, and decree. These synonyms all imply a process of legal resolution through a court or legal authority. While each term may have its own nuanced meaning, they can all be used interchangeably in the context of legal proceedings. The choice of which term to use may depend on the specific context or legal system being used, but all convey the same fundamental idea of a legal decision-making process.