Belief change and 3-valued logics: Characterization of 19,683 belief change operators

Nerio Borges, Ramón Pino Pérez
2020 The Journal of Artificial Intelligence Research  
In this work we introduce a 3-valued logic with modalities, with the aim of having a clear and precise representation of epistemic states, thus the formulas of this logic will be our epistemic states. Indeed, these formulas are identified with ranking functions of 3 values, a generalization of total preorders of three levels. In this framework we analyze some types of changes of these epistemic structures and give syntactical characterizations of them in the introduced logic. In particular, we
more » ... In particular, we introduce and study carefully a new operator called Cautious Improvement operator. We also characterize all operators that are definable in this framework.
doi:10.1613/jair.1.12091 fatcat:jwdkoafxzjeqjh3ffh3df7yjiy