Research map / Learning theory and algorithms / Combinatorial and search optimization
Treewidth-Aware Complexity in ASP: Not all Positive Cycles are Equally Hard
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Measured effects reported in the paper
| What was changed | Where | Measured | Effect |
|---|---|---|---|
| Use largest SCC size ℓ alongside treewidth k, with λ=min({k,ℓ}) | HCF ASP consistency · HCF ASP | runtime: 2^{\mathcal{O}(k\cdot \log(\lambda))} \cdot \poly(\Card{\text{\normalfont at}(\Pi)}) | Helped |
| Reduce HCF ASP to tight ASP using SCC-bounded global level mappings | HCF ASP · HCF ASP to tight ASP | treewidth: from k to \mathcal{O}(k\cdot\log(\ell)) | Helped |
| Reduce tight ASP to SAT using a treewidth-aware encoding | Tight ASP · Tight ASP to SAT | treewidth: \mathcal{O}(k) | Helped |
| Replace the HCF-to-tight reduction with any reduction achieving treewidth o(k·log(k)) | HCF ASP · HCF ASP to tight ASP | treewidth: o(k\cdot\log(k)) | Hurt |
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