A Reduction of Input/Output Logics to SAT

• URL: http://arxiv.org/abs/2508.16242v1
• Date: Fri, 22 Aug 2025 09:22:26 GMT
• Title: A Reduction of Input/Output Logics to SAT
• Authors: Alexander Steen,
• Abstract summary: Deontic logics are formalisms for reasoning over norms, obligations, permissions and prohibitions.<n>In this paper, an automation approach for I/O logics is presented that makes use of suitable reductions to propositional satisfiability problems.
• Score: 51.82266520875928
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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