Combinatorial optimization: algorithms and complexity
Combinatorial optimization: algorithms and complexity
The complexity of optimization problems
Journal of Computer and System Sciences - Structure in Complexity Theory Conference, June 2-5, 1986
Probabilistic Horn abduction and Bayesian networks
Artificial Intelligence
Computing functions with parallel queries to NP
Theoretical Computer Science
From statistical knowledge bases to degrees of belief
Artificial Intelligence
Graph theoretical structures in logic programs and default theories
Theoretical Computer Science
The complexity of obtaining solutions for problems in NP and NL
Complexity theory retrospective II
A Reasoning Model Based on the Production of Acceptable Arguments
Annals of Mathematics and Artificial Intelligence
Coherence in finite argument systems
Artificial Intelligence
ECAI '90 Workshop on Truth Maintenance Systems
Argumentation and Qualitative Probabilistic Reasoning Using the Kappa Calculus
ECSQARU '01 Proceedings of the 6th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
A general non-probabilistic theory of inductive reasoning
UAI '88 Proceedings of the Fourth Annual Conference on Uncertainty in Artificial Intelligence
Modeling Dialogues Using Argumentation
ICMAS '00 Proceedings of the Fourth International Conference on MultiAgent Systems (ICMAS-2000)
Audiences in argumentation frameworks
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Computational properties of argument systems satisfying graph-theoretic constraints
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Elements of Argumentation
Computational Complexity of Semi-stable Semantics in Abstract Argumentation Frameworks
JELIA '08 Proceedings of the 11th European conference on Logics in Artificial Intelligence
A Game-Theoretic Measure of Argument Strength for Abstract Argumentation
JELIA '08 Proceedings of the 11th European conference on Logics in Artificial Intelligence
An Abstract Theory of Argumentation That Accommodates Defeasible Reasoning About Preferences
ECSQARU '07 Proceedings of the 9th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Reasoning about preferences in argumentation frameworks
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The Computational Complexity of Ideal Semantics I: Abstract Argumentation Frameworks
Proceedings of the 2008 conference on Computational Models of Argument: Proceedings of COMMA 2008
Integrating Object and Meta-Level Value Based Argumentation
Proceedings of the 2008 conference on Computational Models of Argument: Proceedings of COMMA 2008
Encompassing Attacks to Attacks in Abstract Argumentation Frameworks
ECSQARU '09 Proceedings of the 10th European Conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Argumentation in Artificial Intelligence
Argumentation in Artificial Intelligence
Pareto optimality in abstract argumentation
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
The computational complexity of ideal semantics
Artificial Intelligence
Computational properties of resolution-based grounded semantics
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Labellings and games for extended argumentation frameworks
IJCAI'09 Proceedings of the 21st international jont conference on Artifical intelligence
Aggregation of attack relations: a social-choice theoretical analysis of defeasibility criteria
FoIKS'08 Proceedings of the 5th international conference on Foundations of information and knowledge systems
Complexity of semi-stable and stage semantics in argumentation frameworks
Information Processing Letters
Computation in Extended Argumentation Frameworks
Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence
An Argumentation-Based Dialog for Social Evaluations Exchange
Proceedings of the 2010 conference on ECAI 2010: 19th European Conference on Artificial Intelligence
Symmetric argumentation frameworks
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Gradual valuation for bipolar argumentation frameworks
ECSQARU'05 Proceedings of the 8th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
On the resolution-based family of abstract argumentation semantics and its grounded instance
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Dynamics of argumentation systems: A division-based method
Artificial Intelligence
Introducing equational semantics for argumentation networks
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
Partial semantics of argumentation
LORI'11 Proceedings of the Third international conference on Logic, rationality, and interaction
Probabilistic argumentation frameworks
TAFA'11 Proceedings of the First international conference on Theory and Applications of Formal Argumentation
Resource boundedness and argumentation
TAFA'11 Proceedings of the First international conference on Theory and Applications of Formal Argumentation
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Three
Some reflections on two current trends in formal argumentation
Logic Programs, Norms and Action
Argumentation logic to assist in security administration
Proceedings of the 2012 workshop on New security paradigms
ABA: argumentation based agents
ArgMAS'11 Proceedings of the 8th international conference on Argumentation in Multi-Agent Systems
Using argumentation to reason with and about trust
ArgMAS'11 Proceedings of the 8th international conference on Argumentation in Multi-Agent Systems
Argumentation-logic for creating and explaining medical hypotheses
Artificial Intelligence in Medicine
A formal concept view of abstract argumentation
ECSQARU'13 Proceedings of the 12th European conference on Symbolic and Quantitative Approaches to Reasoning with Uncertainty
Automata for infinite argumentation structures
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On the complexity of probabilistic abstract argumentation
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Probabilistic qualification of attack in abstract argumentation
International Journal of Approximate Reasoning
Coalitions of Arguments: An Approach with Constraint Programming
Fundamenta Informaticae - Special Issue on the Italian Conference on Computational Logic: CILC 2011
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We introduce and investigate a natural extension of Dung's well-known model of argument systems in which attacks are associated with a weight, indicating the relative strength of the attack. A key concept in our framework is the notion of an inconsistency budget, which characterises how much inconsistency we are prepared to tolerate: given an inconsistency budget @b, we would be prepared to disregard attacks up to a total weight of @b. The key advantage of this approach is that it permits a much finer grained level of analysis of argument systems than unweighted systems, and gives useful solutions when conventional (unweighted) argument systems have none. We begin by reviewing Dung's abstract argument systems, and motivating weights on attacks (as opposed to the alternative possibility, which is to attach weights to arguments). We then present the framework of weighted argument systems. We investigate solutions for weighted argument systems and the complexity of computing such solutions, focussing in particular on weighted variations of grounded extensions. Finally, we relate our work to the most relevant examples of argumentation frameworks that incorporate strengths.