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A Reduction of Input/Output Logics to SAT

22 August 2025
Alexander Steen
ArXiv (abs)PDFHTMLGithub (1★)
Main:23 Pages
6 Figures
Bibliography:4 Pages
1 Tables
Appendix:5 Pages
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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