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<div class="csl-entry">Ciabattoni, A., Olivetti, N., & Parent, X. (2022). Dyadic Obligations: Proofs and Countermodels via Hypersequents. In <i>PRIMA 2022: Principles and Practice of Multi-Agent Systems. 24th International Conference, Valencia, Spain, November 16–18, 2022, Proceedings</i> (pp. 54–71). Springer. https://doi.org/10.1007/978-3-031-21203-1_4</div>
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/137030
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dc.description.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. By means of the refined calculus, we prove that validity in 𝐄 is Co-NP and countermodels have polynomial size.
en
dc.description.sponsorship
Fonds zur Förderung der wissenschaftlichen Forschung (FWF)