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We develop SEGClobber (Simplest Equal Game Clobber), a solver for the one-dimensional form of Clobber known as linear Clobber. We briefly review previous work on this game and related concepts about combinatorial game theory. We describe our basic computational approach, a series of enhancements, and the experimental evaluation. We experimentally verify two conjectures by Albert et al. about linear Clobber up to values of \(n=50\) for \((\CIRCLE \Circle )^n\) and \(n=28\) for \((\CIRCLE \CIRCLE \Circle )^n\) . This greatly exceeds previous computational results for such positions.

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SEGClobber - A Linear Clobber Solver

  • 会议论文

  • 发表日期：

    2026年

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  • Taylor Folkersen,
  • Zahra Bashir,
  • Fatemeh Tavakoli,
  • Martin Müller

摘要

We develop SEGClobber (Simplest Equal Game Clobber), a solver for the one-dimensional form of Clobber known as linear Clobber. We briefly review previous work on this game and related concepts about combinatorial game theory. We describe our basic computational approach, a series of enhancements, and the experimental evaluation. We experimentally verify two conjectures by Albert et al. about linear Clobber up to values of \(n=50\) for \((\CIRCLE \Circle )^n\) and \(n=28\) for \((\CIRCLE \CIRCLE \Circle )^n\) . This greatly exceeds previous computational results for such positions.