Propositional knowledge base revision and minimal change
Artificial Intelligence
On the complexity of Boolean unification
Information Processing Letters
Conditional independence in propositional logic
Artificial Intelligence
Artificial Intelligence - Special issue on nonmonotonic reasoning
Boolean Functions as Models for Quantified Boolean Formulas
Journal of Automated Reasoning
Artificial Intelligence
Propositional independence: formula-variable independence and forgetting
Journal of Artificial Intelligence Research
Introducing actions into qualitative simulation
IJCAI'89 Proceedings of the 11th international joint conference on Artificial intelligence - Volume 2
Qualitative relevance and independence: a roadmap
IJCAI'97 Proceedings of the 15th international joint conference on Artifical intelligence - Volume 1
Belief base rationalization for propositional merging
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Two
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While propositional logic is widely used as a representation framework for many AI applications, the concept of language independence in the propositional setting has not received much attention so far. In this paper, we define language independence for a propositional operator as robustness w.r.t. symbol translation. We motivate the need to focus on symbol translations of restricted types, introduce and study several families of translations of interest, and provide a number of characterization results. We also identify the computational complexity of recognizing symbol translations from those families. Then we investigate the robustness of belief merging, belief revision and belief update operators w.r.t. translations of different types. It turns out that some rational merging/revision/update operators are not guaranteed to offer the most basic (yet non-trivial) form of language independence.