The Dialetheic Kernel: A Substrate for Self-Referential Computation

We present a machine-verified formalization of a computational substrate that does not merely tolerate paradox but operationalizes it. The paraconsistent kernel runs a three-stage Frobenius cycle (ENGAGR->FSPLIT->FFUSE) on the Belnap four-valued lattice, sustaining the dialetheic value B (both true and false) as a fixed point across arbitrarily many cycles.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-29
DOI
https://doi.org/10.5281/zenodo.20440200
Primary Topic
Logic, programming, and type systems
Type
preprint
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preprint

The Dialetheic Kernel: A Substrate for Self-Referential Computation

Lando Mills
Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
preprint

The Dialetheic Kernel: A Substrate for Self-Referential Computation

Lando Mills
preprint en

Abstract

We present a machine-verified formalization of a computational substrate that does not merely tolerate paradox but operationalizes it. The paraconsistent kernel runs a three-stage Frobenius cycle (ENGAGR->FSPLIT->FFUSE) on the Belnap four-valued lattice, sustaining the dialetheic value B (both true and false) as a fixed point across arbitrarily many cycles.

Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
DOIOpen Access PDFOpenAlex
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The Dialetheic Kernel: A Substrate for Self-Referential Computation — Lando Mills · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS