Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
On the semantics of theory change: arbitration between old and new information
PODS '93 Proceedings of the twelfth ACM SIGACT-SIGMOD-SIGART symposium on Principles of database systems
Non-deterministic Multiple-valued Structures
Journal of Logic and Computation
Distance-based paraconsistent logics
International Journal of Approximate Reasoning
Reasoning with Uncertainty by Nmatrix---Metric Semantics
WoLLIC '08 Proceedings of the 15th international workshop on Logic, Language, Information and Computation
Some simplified forms of reasoning with distance-based entailments
Canadian AI'08 Proceedings of the Canadian Society for computational studies of intelligence, 21st conference on Advances in artificial intelligence
A framework for reasoning under uncertainty based on non-deterministic distance semantics
International Journal of Approximate Reasoning
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We introduce a modular framework for formalizing reasoning with incomplete and inconsistent information. This framework is composed of non-deterministic semantic structures and distance-based considerations. The combination of these two principles leads to a variety of entailment relations that can be used for reasoning about non-deterministic phenomena and are inconsistency-tolerant. We investigate the basic properties of these entailments and demonstrate their usefulness in the context of model-based diagnostic systems.