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Abstract
Modal accounts of normality in non-monotonic reasoning traditionally have an underlying semantics based on a notion of preference amongst worlds. In this paper, we motivate and investigate an alternative semantics, based on ordered accessibility relations in Kripke frames. The underlying intuition is that some world tuples may be seen as more normal, while others may be seen as more exceptional. We show that this delivers an elegant and intuitive semantic construction, which gives a new perspective on defeasible necessity. Technically, the revisited logic does not change the expressive power of our previously defined preferential modalities. This conclusion follows from an analysis of both semantic constructions via a generalisation of bisimulations to the preferential case. Reasoners based on the previous semantics therefore also suffice for reasoning over the new semantics. We complete the picture by investigating different notions of defeasible conditionals in modal logic that can also be captured within our framework.
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DOI 10.1007/s10849-017-9264-0
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References found in this work BETA

Counterfactuals.David Kellogg Lewis - 1973 - Cambridge, MA, USA: Blackwell.
Counterfactuals.David Lewis - 1974 - Tijdschrift Voor Filosofie 36 (3):602-605.
A Textbook of Belief Dynamics: Theory Change and Database Updating.Sven Ove Hansson - 1999 - Dordrecht and Boston: Kluwer Academic Publishers.

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Citations of this work BETA

From KLM-Style Conditionals to Defeasible Modalities, and Back.Katarina Britz & Ivan Varzinczak - 2018 - Journal of Applied Non-Classical Logics 28 (1):92-121.

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