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Counting Complexity for Reasoning in Abstract Argumentation
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use dynamic programming over a tree decomposition for projected counting | Projected credulous counting under admissible, complete, or stable semantics · Argumentation frameworks of treewidth k | runtime upper bound: \bigO{2^{2^{4k}}\cdot g \cdot \gamma(\CCard{F})} | Helped |
| Use dynamic programming over a tree decomposition | Projected credulous counting under preferred, semi-stable, or stage semantics · Argumentation frameworks of treewidth k | runtime upper bound: \bigO{2^{2^{2^{4k}}}\cdot g \cdot \gamma(\CCard{F})} | Helped |
| Exploit bounded treewidth for projected counting | Projected credulous counting under admissible, complete, or stable semantics · Argumentation frameworks of treewidth k | runtime: 2^{2^{o(k)}} \cdot \CCard{F}^{o(k)} | Mixed |
| Exploit bounded treewidth for projected counting | Projected credulous counting under preferred, semi-stable, or stage semantics · Argumentation frameworks of treewidth k | runtime: 2^{2^{2^{o(k)}}} \cdot \CCard{F}^{o(k)} | Mixed |
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