Studia Logica

, Volume 101, Issue 5, pp 933-958

First online:

Adaptive Logic as a Modal Logic

  • Patrick AlloAffiliated withCentre for Logic and Philosophy of Science, Vrije Universiteit Brussel Email author 

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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.


Adaptive logic Modal logic Preference logic Nonmonotonic inference