General Theory of Omniversal Representation - Comparison, Completion, and Representation Envelopes

GTOR v1.0 presents the comparison, completion, and representation-envelope layer of the Omega stack. It permits typed representation comparison, restricted weighted bi-completion, replayable diagram analysis, and residual handoff without promoting comparison into authority. The release aligns with the current Canonical Omega Math Spine and GTLA v1.2. Its support sieve requires inhabited finite authority records. Its completion operator is restricted rather than unrestricted free completion. Diagram defects are formed only inside a declared finite enriched environment. Residuals may be handed to the published GTTA terminal layer.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-06-13
DOI
https://doi.org/10.5281/zenodo.20677030
Primary Topic
Logic, programming, and type systems
Type
preprint
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preprint

General Theory of Omniversal Representation - Comparison, Completion, and Representation Envelopes

Jeremy H. Carroll
Zenodo (CERN European Organization for Nuclear Research)
Logic, programming, and type systems
preprint

General Theory of Omniversal Representation - Comparison, Completion, and Representation Envelopes

Jeremy H. Carroll
preprint en

Abstract

GTOR v1.0 presents the comparison, completion, and representation-envelope layer of the Omega stack. It permits typed representation comparison, restricted weighted bi-completion, replayable diagram analysis, and residual handoff without promoting comparison into authority. The release aligns with the current Canonical Omega Math Spine and GTLA v1.2. Its support sieve requires inhabited finite authority records. Its completion operator is restricted rather than unrestricted free completion. Diagram defects are formed only inside a declared finite enriched environment. Residuals may be handed to the published GTTA terminal layer.

Zenodo (CERN European Organization for Nuclear Research)
Reduced inequalities
Logic, programming, and type systems
DOIOpen Access PDFOpenAlex
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General Theory of Omniversal Representation - Comparison, Completion, and Representation Envelopes — Jeremy H. Carroll · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS