The final judgment in a legal proceeding; the act of pronouncing judgment based on the evidence presented WordNet 3.0 & Open English WordNet

Adjudication is the legal process by which an arbiter or judge reviews evidence and argumentation, including legal reasoning set forth by opposing parties or litigants, to come to a decision which determines rights and obligations between the parties involved. Wikipedia

The act of adjudicating, of reaching a judgement. Wiktionary