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arXiv · 2610.23351

From Border-Agnosticism to Causal Rewrite Systems

Pablo Arrighi·Marin Costes·Luidnel Maignan
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Abstract

Causal Graph Rewriting was recently introduced as an evolution of Causal Graph Dynamics to allow for a controlled form of asynchronism in these dynamical systems with dynamical graphs. In this context, the notion of borders---akin to dangling edges---has gained increasing importance. In this paper, we re-examine these borders, interpreting them as missing information. This perspective adds structural rigor to the framework, allowing border-agnostic causal graph rewriting to be reformulated as a rewriting system rather than a dynamical system. This shift represents a crucial step toward facilitating the treatment of reversibility.

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Pablo Arrighi, Marin Costes, Luidnel Maignan. 2026-10-16. From Border-Agnosticism to Causal Rewrite Systems. https://arxiv.org/abs/2610.23351

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