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In this work, we present a comprehensive survey of the role of argumentation in HCAI, examining its theoretical foundations, methodologies, and applications, as well as its potential to enhance communication, informed decision-making, and responsible human\u2013AI interaction across diverse domains. Building on this analysis, we introduce the Argumentation-based Proof-Event Calculus (APEC), a formal and aligned framework designed to support trustworthy collaboration between humans and AI agents in goal-oriented decision processes. 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