Abstract
We study a logic for deontic necessity and sufficiency (often interpreted as obligation, resp. strong permission), as originally proposed in van Benthem (Bull Sect Log 8(1):36–41, 1979). Building on earlier work in modal logic, we provide a sound and complete axiomatization for it, consider some standard extensions, and study other important properties. After that, we compare this logic to the logic of “obligation as weakest permission” from Anglberger et al. (Rev Symb Log 8(4):807–827, 2015).
Original language | English |
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Pages (from-to) | 473-511 |
Number of pages | 39 |
Journal | Erkenntnis |
Volume | 82 |
Issue number | 3 |
DOIs | |
Publication status | Published - 1 Jun 2017 |
Externally published | Yes |
Bibliographical note
Funding Information:Research for this paper was funded by subventions of the Flemish Research Foundation (FWO-Vlaanderen). We are indebted to Huimin Dong, Olivier Roy, Gillman Payette, and two anonymous referees for comments on and discussions of previous versions.
Publisher Copyright: © 2016, Springer Science+Business Media Dordrecht.