{"ID":2879380,"CreatedAt":"2026-06-01T04:54:23.091178241Z","UpdatedAt":"2026-06-01T04:54:23.091178241Z","DeletedAt":null,"paper_url":"https://arxiv.org/abs/2508.16242","arxiv_id":"2508.16242","title":"A Reduction of Input/Output Logics to SAT","abstract":"Deontic logics are formalisms for reasoning over norms, obligations, permissions and prohibitions. Input/Output (I/O) Logics are a particular family of so-called norm-based deontic logics that formalize conditional norms outside of the underlying object logic language, where conditional norms do not carry a truth-value themselves. In this paper, an automation approach for I/O logics is presented that makes use of suitable reductions to (sequences of) propositional satisfiability problems. A prototypical implementation, named rio (reasoner for input/output logics), of the proposed procedures is presented and applied to illustrative examples.","short_abstract":"Deontic logics are formalisms for reasoning over norms, obligations, permissions and prohibitions. Input/Output (I/O) Logics are a particular family of so-called norm-based deontic logics that formalize conditional norms outside of the underlying object logic language, where conditional norms do not carry a truth-value...","url_abs":"https://arxiv.org/abs/2508.16242","url_pdf":"https://arxiv.org/pdf/2508.16242v2","authors":"[\"Alexander Steen\"]","published":"2025-08-22T09:22:26Z","proceeding":"cs.LO","tasks":"[\"cs.LO\",\"cs.AI\"]","methods":"[]","has_code":false}
