Dyadic obligations: proofs and countermodels via hypersequents

Fuente: arXiv

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Autori principali:	Ciabattoni, Agata, Oliveti, Nicola, Parent, Xavier
Natura:	Preprint
Pubblicazione:	2024
Soggetti:	Logic in Computer Science
Accesso online:	Acceder al recurso
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author	Ciabattoni, Agata Oliveti, Nicola Parent, Xavier
author_facet	Ciabattoni, Agata Oliveti, Nicola Parent, Xavier
contents	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.
format	Preprint
id	arxiv_https___arxiv_org_abs_2406_09088
institution	arXiv
publishDate	2024
record_format	arxiv
spellingShingle	Dyadic obligations: proofs and countermodels via hypersequents Ciabattoni, Agata Oliveti, Nicola Parent, Xavier Logic in Computer Science 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.
title	Dyadic obligations: proofs and countermodels via hypersequents
topic	Logic in Computer Science
url	https://arxiv.org/abs/2406.09088

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