Adaptive logic as a modal logic (Q383560)

Modal logic has received a tremendous push in the recent decades. However, its connection to non-classical logics (broadly conceived) still remains under-studied. Allo's paper studies a long-due gap in the field of adaptive logics, which is a subject mainly developed by Batens' research group. There are plenty adaptive logics, but to many, including myself, its connection to modal logics was a bit of a mystery. Adaptive logic, as Allo puts it, is ``non-monotonic strengthening of standard paraconsistent logics''. Allo's approach to modal adaptive logic is based on preference models -- which are quite well studied in the literature. Based on such model operators the author defines syntactical and model-theoretical abnormality criteria, which are the main results of the paper. The paper offers a mature technical approach to modal adaptive logics with an aim to connect it to doxastic logics and is an impressive step towards this direction.