Adaptive Logic as a Modal Logic

Studia Logica 101 (5):933-958 (2013)
Modal logics have in the past been used as a unifying framework for the minimality semantics used in defeasible inference, conditional logic, and belief revision. The main aim of the present paper is to add adaptive logics, a general framework for a wide range of defeasible reasoning forms developed by Diderik Batens and his co-workers, to the growing list of formalisms that can be studied with the tools and methods of contemporary modal logic. By characterising the class of abnormality models, this aim is achieved at the level of the model-theory. By proposing formulae that express the consequence relation of adaptive logic in the object-language, the same aim is also partially achieved at the syntactical level.
Keywords Adaptive logic  Modal logic  Preference logic  Nonmonotonic inference
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DOI 10.1007/s11225-012-9403-1
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David Makinson (1993). Five Faces of Minimality. Studia Logica 52 (3):339 - 379.

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