“That Will Do”: Logics of Deontic Necessity and Sufficiency

Frederik Van De Putte*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review

5 Citations (Scopus)
9 Downloads (Pure)

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 languageEnglish
Pages (from-to)473-511
Number of pages39
JournalErkenntnis
Volume82
Issue number3
DOIs
Publication statusPublished - 1 Jun 2017
Externally publishedYes

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.

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