Artificial Intelligence

Formal Identity, Discrete Stabilization, and Consensus Risk in Verified Distributed Kernels

Authors: Veaceslav Molodiuc

Verified distributed kernels require more than authenticated messages: they require formal identity, recoverable operational states, and measurable consensus risk. This paper connects formal identity, discrete stabilization, the LoculoSoft kernel vocabulary, and PRISM probabilistic model checking. LoculoSoft is treated cautiously as a proposed structural framework and research direction. A reproducible PRISM 4.10.1 check on a three-process Herman-style token ring shows stable reachability with probability 1 and maximum expected stabilization time near 4/3 steps.Keywords: formal identity, discrete stabilization, consensus risk, distributed kernels, PRISM, LoculoSoft.

Comments: 8 pages. AI-assisted preprint, Version 1.1.

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Submission history

[v1] 2026-07-27 08:08:11

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