Conditioning and AGM-like belief change in the Desirability-Indifference framework
This work addresses theoretical extensions for belief change models, primarily of interest to researchers in formal logic and probability theory, and is incremental as it builds on existing frameworks.
The paper tackles extending the AGM framework for belief change to handle conditioning within the Desirability-Indifference framework, enabling simultaneous application to classical and quantum probability theory.
We show how the AGM framework for belief change (expansion, revision, contraction) can be extended to deal with conditioning in the so-called Desirability-Indifference framework, based on abstract notions of accepting and rejecting options, as well as on abstract notions of events. This level of abstraction allows us to deal simultaneously with classical and quantum probability theory.