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A Logic of Objective and Subjective Oughts (full paper with proofs)

2019/03/25 by Aldo Iván Ramírez Abarca, Abarca, Aldo Iván Ramírez, Jan Broersen +1
Computer Science · Psychology · #FOS: Mathematics #Logic (math.LO) #Logic, Reasoning, and Knowledge #Multi-Agent Systems and Negotiation #Philosophy and Theoretical Science

paper · pdf · doi:10.48550/arxiv.1903.10577

openalex publication_date 2019/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The relation between agentive action, knowledge, and obligation is central to the understanding of responsibility --a main topic in Artificial Intelligence. Based on the view that an appropriate formalization of said relation would contribute to the development of ethical AI, we point out the main characteristics of a logic for objective and subjective oughts that was recently introduced in the literature. This logic extends the traditional stit paradigm with deontic and epistemic operators, and provides a semantics that deals with Horty's puzzles for knowledge and obligation. We provide an axiomatization for this logic, and address its soundness and completeness with respect to a class of relevant models.

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