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arXiv · 2509.16172

Two Optimizations on the St\aa lmarck Procedure

Sergei Leonov·Liam Davis
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Abstract

In this paper, we introduce StalmarckSAT, the a modern re-implementation of the St\aa lmarck Procedure for SAT solving, and present two novel strategies to improve the Procedure, Cardinality Driven Branching (CDB) and Deductive Priority Ordering (DPO). CDB is a heuristic to improve branching with the dilemma rule, and DPO intelligently orders simple rules based on their deductive potential. Our results demonstrate improved solve times with both strategies.

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Sergei Leonov, Liam Davis. 2025-09-19. Two Optimizations on the St\aa lmarck Procedure. https://arxiv.org/abs/2509.16172

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