Orthologic for SAT Solving
We present a new algorithm for deciding formula entailment in orthologic (a sound approximation of classical logic) that avoids the costly preprocessing phase of prior implementations while retaining the same $\mathcal{O}(n^2(1+|A|))$ worst-case complexity. We then introduce a family of synthetic SAT benchmarks based on the observation that, for any formula $φ$, the equivalence $φ\leftrightarrow \mathrm{NF}_{\mathrm{OL}}(φ)$ is a tautology whose Tseitin encoding yields unsatisfiable instances that are hard for state-of-the-art SAT solvers yet have short orthologic proofs. Applied to EPFL arithmetic circuits, our algorithm solves these instances efficiently while Kissat times out on a sign...
| Authors | Vladislas de Haldat, Simon Guilloud, Viktor Kunčak |
|---|---|
| Primary category | cs.LO |
| Published | 14 May 2026 |
| Last updated at source | 14 May 2026 |
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