Adaptive logics: a parametric approach
Frederik Van De Putte, Christian Straßer · Logic Journal of IGPL · 2014
Adaptive logics (ALs) in standard format are defined in terms of a monotonic core logic L, a distinct set of ‘abnormal’ formulas Ω and a strategy, which can be either reliability or minimal abnormality. In this article we we ask under which conditions the consequence relation of two ALs that use the same strategy are identical, and when one is a proper subrelation of the other. This results in a number of sufficient (and sometimes necessary) conditions on L and Ω which apply to all ALs in standard format. In addition, we translate our results to the closely related family of default assumption consequence relations.