E192-05 - Forschungsbereich Theory and Logic E056-23 - Fachbereich Innovative Combinations and Applications of AI and ML (iCAIML)
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ArXiv ID:
2406.09088
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Date (published):
2024
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Number of Pages:
17
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Preprint Server:
arXiv
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Keywords:
deontic logic; hypersequents; dyadic deontic system
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Abstract:
The basic system E of dyadic deontic logic proposed by Åqvist offers a simple solution to contrary-to-duty paradoxes and allows to represent norms with exceptions. We investigate E from a proof-theoretical viewpoint. We propose a hypersequent calculus with good properties, the most important of which is cut-elimination, and the consequent subformula property. The calculus is refined to obtain a decision procedure for E and an effective countermodel computation in case of failure of proof search. Using the refined calculus, we prove that validity in E is Co-NP and countermodels have polynomial size
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Project title:
Logical methods for Deontic Explanations: I 6372 (FWF - Österr. Wissenschaftsfonds)
