Nonmonotonic reasoning, preferential models and cumulative logics
1990/07/01 by Sarit Kraus, Daniel Lehmann, Menachem Magidor · 1,682 citations
Computer Science · Mathematics · #Advanced Algebra and Logic #Artificial intelligence #Belief revision #Classical logic #Computer science #Discrete mathematics #Epistemology #Extension (predicate logic) #Logic, Reasoning, and Knowledge #Mathematics #Monotonic function #Non-monotonic logic #Predicate (mathematical logic) #Probabilistic logic #Programming language #Property (philosophy) #Propositional calculus #Semantic Web and Ontologies #Theoretical computer science
paper · doi:10.1016/0004-3702(90)90101-5
published in Artificial Intelligence 44(1-2), 167-207 (Elsevier BV)
openalex publication_date 1990/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25
Cited by
- Mathematical Reasoning Vs. Abductive Reasoning: A Structural Approach
- Robust Classification in ML: A Topological Semantics Approach
- The logical meaning of Expansion
- On the links between argumentation-based reasoning and nonmonotonic reasoning
- Reasoning with conditionals
- Connectives in Quantum and other Cumulative Logics
- Bayes Meets Entailment and Prediction: Commonsense Reasoning with Non-monotonicity, Paraconsistency and Predictive Accuracy
- Monotonicity and Noise-Tolerance in Case-Based Reasoning with Abstract Argumentation (with Appendix)
- Non-Monotonic S4F Standpoint Logic (Extended Version with Proofs)
- On a plausible concept-wise multipreference semantics and its relations with self-organising maps
- Nonmonotonic Probabilistic Logics between Model-Theoretic Probabilistic Logic and Probabilistic Logic under Coherence
- Probabilistic Logic Programming under Inheritance with Overriding
- Plausibility Measures: A User's Guide
- Numerical Representations of Acceptance
- Back to the Future: Unsupervised Backprop-based Decoding for Counterfactual and Abductive Commonsense Reasoning
- Domain closure conditions and definability preservation
- Axiomatic Aspects of Default Inference
- A conceptual framework for (iterated) revision, update, and nonmonotonic reasoning
- The Probability of a Possibility: Adding Uncertainty to Default Rules
- Learning Possibilistic Logic Theories from Default Rules
- A Symbolic Logic with Concrete Bounds for Cryptographic Protocols
- Semantic Bridges Between First Order c-Representations and Cost-Based Semantics: An Initial Perspective
- Cumulativity without closure of the domain under finite unions
- Origins of Answer-Set Programming - Some Background And Two Personal Accounts
- A Qualitative Markov Assumption and its Implications for Belief Change
- Coping with the Limitations of Rational Inference in the Framework of Possibility Theory
- Revealed Preferences for Matching with Contracts
- Properties of ABA+ for Non-Monotonic Reasoning
- Filling in the semantics for intuitionistic conditional logic
- Relevance in Structured Argumentation
- Constraint Propagation with Imprecise Conditional Probabilities
- Reiter's Default Logic Is a Logic of Autoepistemic Reasoning And a Good One, Too
- Defeasible inheritance systems and reactive diagrams
- From Weighted Conditionals of Multilayer Perceptrons to Gradual Argumentation and Back
- On Open-Universe Causal Reasoning
- Extending Defeasibility for Propositional Standpoint Logics
- Principles and Examples of Plausible Reasoning and Propositional Plausible Logic
- Defeasible Modalities
- From Shallow to Deep Interactions Between Knowledge Representation, Reasoning and Machine Learning (Kay R. Amel group)
- On Rational Closure in Description Logics of Typicality
- Bisimulation for Conditional Modalities
- Rational Closure in SHIQ
- A framework for Conditional Reasoning in Answer Set Programming
- Reasoning by Cases in Structured Argumentation
- A Plausibility Semantics for Abstract Argumentation Frameworks
- Conditional Inference and Activation of Knowledge Entities in ACT-R
- Languages, Algorithms, Procedures, Calculi, and Metalogic
- Axiomatics of Restricted Choices by Linear Orders of Sets with Minimum as Fallback
- A Unified framework for order-of-magnitude confidence relations
- Uniform labelled calculi for preferential conditional logics based on neighbourhood semantics
- Reasoning in Non-Probabilistic Uncertainty: Logic Programming and Neural-Symbolic Computing as Examples
- A Non-Interventionist Approach to Causal Reasoning based on Lewisian Counterfactuals
- On the Complexity and Properties of Preferential Propositional Dependence Logic
- Linking Makinson and Kraus-Lehmann-Magidor preferential entailments
- A Short Remark on Analogical Reasoning
- Representation Dependence in Probabilistic Inference
- Bayesian Entailment Hypothesis: How Brains Implement Monotonic and Non-monotonic Reasoning
- Defaults and Normality in Causal Structures
- On weak filters and ultrafilters: Set theory from (and for) knowledge representation
- Analytic Tableaux Calculi for KLM Logics of Nonmonotonic Reasoning
- Boolean algebras of conditionals, probability and logic
- Using arguments for making decisions: A possibilistic logic approach
- A Presentation of Quantum Logic Based on an and then Connective
- Theoretical Foundations of Defeasible Description Logics
- A framework for a modular multi-concept lexicographic closure semantics
- Decision-making Under Ordinal Preferences and Comparative Uncertainty
- On rational entailment for Propositional Typicality Logic
- A Topological Approach to Full Belief. [europepmc]
- Simple Hyperintensional Belief Revision. [europepmc]
- Default Inheritance in Modified Statements: Bias or Inference? [europepmc]
- The probability of conditionals: A review. [europepmc]