On strongest neccessary and weakest sufficient conditions
Artificial Intelligence
A consistency-based approach for belief change
Artificial Intelligence
Propositional independence: formula-variable independence and forgetting
Journal of Artificial Intelligence Research
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The Lang-Marquis framework for reasoning in the presence of inconsistencies, which is based on the so-called forget operation, is generalized here. Despite extending the original proposal, a simpler structure is used. A notion of equivalence is introduced which is proven to provide extensionality for the framework. Some other formal properties are also given which illustrate the versatility of the definitions.