The Luxembourg Logic for AI Summit (LuxLogAI 2018) brings together the 2nd International Joint Conference on Rule and Reasoning (RuleML+RR 2018), the Reasoning Web Summer School (RW 2018), the Global Conference on Artificial Intelligence (GCAI 2018), DecisionCAMP 2018 and the annual meeting of the Deduction Systems group (Deduktionstreffen 2018) of the German Gesellschaft für Informatik (GI).