A Note on Nesting in Dyadic Deontic Logic



Belanyek, Agneau, Grossi, Davide ORCID: 0000-0002-9709-030X and Hoek, Wiebe van der
(2017) A Note on Nesting in Dyadic Deontic Logic.

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Abstract

The paper reports on some results concerning Aqvist's dyadic logic known as system G, which is one of the most influential logics for reasoning with dyadic obligations ("it ought to be the case that ... if it is the case that ..."). Although this logic has been known in the literature for a while, many of its properties still await in-depth consideration. In this short paper we show: that any formula in system G including nested modal operators is equivalent to some formula with no nesting; that the universal modality introduced by Aqvist in the first presentation of the system is definable in terms of the deontic modality.

Item Type: Article
Uncontrolled Keywords: cs.AI, cs.AI, cs.LO, cs.MA
Depositing User: Symplectic Admin
Date Deposited: 21 Nov 2017 10:28
Last Modified: 19 Jan 2023 06:52
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3010533