A Reduction of Input/Output Logics to SAT
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866918358769729536 |
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| author | Steen, Alexander |
| author_facet | Steen, Alexander |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_16242 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Reduction of Input/Output Logics to SAT Steen, Alexander Logic in Computer Science Artificial Intelligence 68T27 I.2.3 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. |
| title | A Reduction of Input/Output Logics to SAT |
| topic | Logic in Computer Science Artificial Intelligence 68T27 I.2.3 |
| url | https://arxiv.org/abs/2508.16242 |