A graph-theoretic approach to default logic
Information and Computation
Default theories that always have extensions
Artificial Intelligence
Graph theoretical structures in logic programs and default theories
Theoretical Computer Science
Artificial Intelligence
Algorithm 457: finding all cliques of an undirected graph
Communications of the ACM
Introduction to Default Logic
On kernels, defaults and even graphs
Annals of Mathematics and Artificial Intelligence
A Tableau-Based Theorem Prover for a Decidable Subset of Default Logic
Proceedings of the 10th International Conference on Automated Deduction
Answer Set Programming by Ant Colony Optimization
JELIA '02 Proceedings of the European Conference on Logics in Artificial Intelligence
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An extension-building heuristic is developed and a preliminary investigation of its computational properties is given by comparing its run times to those of DeReS which uses relaxed stratification, another extension-building heuristic. Heuristics which can take advantage of the structural properties of a default theory may provide the information about the theory so that divide-and-conquer-like techniques may be applied on those problems which exhibit appropriate structural properties. Structural properties of a default theory are defined in terms of properties of graphs that represent important features of default theories. Unlike the syntax-dependent heuristics used in previous extension-building algorithms, the heuristic developed here is consistency-based.