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Graham Campbell

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Preprint Aug 2026

Undecidability of Confluence for Binary Length-Reducing Cycle Rewriting

Confluence guarantees that diverging rewrite choices can always be rejoined. For finite terminating string- and term-rewriting systems, confluence is decidable by critical-pair analysis, and in polynomial time for length-reducing strings. For finite terminating (hyper)graph transformation systems, in contrast, confluen...

Graham Campbell · 0 citations

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