Destination-Labeled Self-Looping Systems with Dwell: Intrinsic Characterization, Realization Cost, and Recognition

arXiv:2607.00044v1 Announce Type: cross Abstract: We study a finite-state symbolic controller for systems in which the admissible visible transitions are fixed in advance and each visible state carries a minimum dwell requirement. The resulting model, which we call a destination-labeled self-looping system with dwell (DLSL system), records the visible graph together with local decision maps; dwell memory appears only after phase expansion. The main structural issue is that, once dwell is imposed, the current visible state no longer determines whether a departure is allowed. This leads to the c
This is a pre-publication academic paper, indicating foundational research rather than an immediate market or geopolitical event.
While potentially contributing to future AI systems, this abstract outlines highly theoretical work in symbolic control, with no direct immediate implications for strategic decision-makers.
Nothing immediately changes in the strategic landscape; this is a technical exploration at the research frontier.
Further theoretical understanding of finite-state symbolic controllers is developed.
This might eventually contribute to more robust control systems in complex autonomous agents.
Improved theoretical foundations could enable advancements in AI agent design and verification in the very long term.
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