Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
On truth-table reducibility to SAT
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A catalog of complexity classes
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The computational complexity of abduction
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Abduction versus closure in causal theories
Artificial Intelligence
Probabilistic evaluation of counterfactual queries
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A taxonomy of complexity classes of functions
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Finding MAPs for belief networks is NP-hard
Artificial Intelligence
The complexity of logic-based abduction
Journal of the ACM (JACM)
Computing functions with parallel queries to NP
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Support set selection for abductive and default reasoning
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On the hardness of approximate reasoning
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On the logic of causal explanation
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Abduction from logic program: semantics and complexity
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An algorithm to evaluate quantified Boolean formulae
AAAI '98/IAAI '98 Proceedings of the fifteenth national/tenth conference on Artificial intelligence/Innovative applications of artificial intelligence
A logic of universal causation
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On some tractable classes in deduction and abduction
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Causality: models, reasoning, and inference
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The complexity of approximating MAPs for belief networks with bounded probabilities
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A general scheme for automatic generation of search heuristics from specification dependencies
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Default Reasoning: Causal and Conditional Theories
Default Reasoning: Causal and Conditional Theories
Complexity results for structure-based causality
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Improvements to the Evaluation of Quantified Boolean Formulae
IJCAI '99 Proceedings of the Sixteenth International Joint Conference on Artificial Intelligence
Reasoning with Cause and Effect
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Causes and Explanations: A Structural-Model Approach: Part 1: Causes
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
The Complexity of Restricted Consequence Finding and Abduction
Proceedings of the Seventeenth National Conference on Artificial Intelligence and Twelfth Conference on Innovative Applications of Artificial Intelligence
A Distributed Algorithm to Evaluate Quantified Boolean Formulae
Proceedings of the Seventeenth National Conference on Artificial Intelligence and Twelfth Conference on Innovative Applications of Artificial Intelligence
Qualtitative propagation and scenario-based scheme for exploiting probabilistic reasoning
UAI '90 Proceedings of the Sixth Annual Conference on Uncertainty in Artificial Intelligence
Strategies for determining causes of events
Eighteenth national conference on Artificial intelligence
The Diagnosis Frontend of the dlv system
AI Communications
Journal of Artificial Intelligence Research
Causes and explanations: a structural-model approach-part II: explanations
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Complexity results for structure-based causality
IJCAI'01 Proceedings of the 17th international joint conference on Artificial intelligence - Volume 1
Causal theories of action and change
AAAI'97/IAAI'97 Proceedings of the fourteenth national conference on artificial intelligence and ninth conference on Innovative applications of artificial intelligence
Causes and explanations in the structural-model approach
UAI'02 Proceedings of the Eighteenth conference on Uncertainty in artificial intelligence
Defining explanation in probabilistic systems
UAI'97 Proceedings of the Thirteenth conference on Uncertainty in artificial intelligence
Causes and explanations in the structural-model approach: tractable cases
Artificial Intelligence
Causes and explanations in the structural-model approach: Tractable cases
Artificial Intelligence
Simplifying diagnosis using LSAT: a propositional approach to reasoning from first principles
CPAIOR'05 Proceedings of the Second international conference on Integration of AI and OR Techniques in Constraint Programming for Combinatorial Optimization Problems
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We analyze the computational complexity of Halpern and Pearl's (causal) explanations in the structural-model approach, which are based on their notions of weak and actual cause. In particular, we give a precise picture of the complexity of deciding explanations, α-partial explanations, and partial explanations, and of computing the explanatory power of partial explanations. Moreover, we analyze the complexity of deciding whether all explanation or an α-partial explanation over certain variables exists. We also analyze the complexity of deciding explanations and partial explanations in the case of succinctly represented context sets, the complexity of deciding explanations in the general case of situations, and the complexity of deciding subsumption and equivalence between causal models. All complexity results are derived for the general case, as well as for the restriction to the case of binary causal models, in which all endogenous variables may take only two values. To our knowledge, no complexity results for explanations in the structural-model approach have been derived so far. Our results give insight into the computational structure of Halpern and Pearl's explanations, and pave the way for efficient algorithms and implementations.