Abstract Interfaces of Input/Output Logic

Chapter
Part of the Outstanding Contributions to Logic book series (OCTR, volume 3)

Abstract

The presents chapter investigates to what extent techniques from belief revision and propositional relevance can be transposed into the context of input/output logic. The study is focused on parallel interpolation, finest splittings, contraction and relevant contraction. We show that basic properties of different input/output logic systems influence the existence of interfaces between the different idioms. E.g. we show that the operator of simple-minded output satisfies parallel interpolation, whilst basic output does not. We use parallel interpolation to prove the existence of finest splittings, and, in analogy with propositional relevance, use finest splittings to define a concept of relevance—one that is attuned to the idiosyncracies of codes of norms. Next, we define an operation of derogation of codes of norms, and temper it by our concept of normative relevance. The chapter ends with an illustration of how the pieces fit together, by giving an analysis of the concept of positive permission.

Keywords

Input/Output logic Finest splittings Parallell interpolation Normative systems 

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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  1. 1.Norwegian Defence Research EstablishmentKjellerNorway

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