Nonmonotonic reasoning, preferential models and cumulative logics
Artificial Intelligence
Epistemic entrenchment and possibilistic logic
Artificial Intelligence
What does a conditional knowledge base entail?
Artificial Intelligence
Abduction versus closure in causal theories
Artificial Intelligence
Nonmonotonic inference based on expectations
Artificial Intelligence
General patterns in nonmonotonic reasoning
Handbook of logic in artificial intelligence and logic programming (vol. 3)
Artificial Intelligence
Fundamenta Informaticae
Abductive consequence relations
Artificial Intelligence
Seeking explanations: abduction in logic, philosophy of science and artificial intelligence
Seeking explanations: abduction in logic, philosophy of science and artificial intelligence
Algorithms for selective enumeration of prime implicants
Artificial Intelligence
Jumping to explanations versus jumping to conclusions
Artificial Intelligence
Logical characterisations of inductive learning
Handbook of defeasible reasoning and uncertainty management systems
Explanations, belief revision and defeasible reasoning
Artificial Intelligence
Rationality Postulates for Induction
Proceedings of the Sixth Conference on Theoretical Aspects of Rationality and Knowledge
Environmental Modelling & Software
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In abductive reasoning, preference criteria for selecting the best explanation are regarded as qualitative properties (like being simpler or more plausible) which are beyond the pure causal or deductive relationship between an explanandum and its explanations. This paper is a contribution to the clarification of the relationship between preference criteria and structural properties of explanatory reasoning. We present a detailed analysis of the connection between the logical properties satisfied by a logic-based explanatory process and the structural properties satisfied by the criterion used for selecting the preferred explanations. Namely, we characterize the postulates introduced in a previous work [Artificial Intelligence 111 (2) (1999) 131-169] as those satisfied by explanatory relations defined by preference relations over formulas. Several examples illustrating our results are analyzed, including well known preference criteria like expectation orders, preferential orders and other selection criteria that have appeared in the literature.