Canonical Certification Does Not Exhaust Reflective Structure: Reflective Split, Strict Refinement, and Fiber Structure in Infinity Compression
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901866804150272 |
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| author | Spivack, Nova |
| author_facet | Spivack, Nova |
| contents | Formal theories often collapse many derivations to a single canonical certified record: the question is whether that collapse exhausts everything structurally significant about the realized routes that produced it. This paper is the internal origin theorem of a larger program: we prove that it does not, on named machine-checked carriers in the Infinity Compression native environment. We prove universal collapse of standard Phase-2 extraction to a unique bare certificate; a reflective split (canonical bare certification alongside nontrivial enriched autonomous mirror structure); strict refinement of the typed forgetful map \pi_A (existence of distinct enriched reflective splits with equal \pi_A-image); and a forgetful--fiber layer in which the canonical fiber is nontrivial and role assignme |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19430489 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Canonical Certification Does Not Exhaust Reflective Structure: Reflective Split, Strict Refinement, and Fiber Structure in Infinity Compression Spivack, Nova Lean 4 formal verification infinity compression reflexive systems machine-checked proof NEMS preprint Formal theories often collapse many derivations to a single canonical certified record: the question is whether that collapse exhausts everything structurally significant about the realized routes that produced it. This paper is the internal origin theorem of a larger program: we prove that it does not, on named machine-checked carriers in the Infinity Compression native environment. We prove universal collapse of standard Phase-2 extraction to a unique bare certificate; a reflective split (canonical bare certification alongside nontrivial enriched autonomous mirror structure); strict refinement of the typed forgetful map \pi_A (existence of distinct enriched reflective splits with equal \pi_A-image); and a forgetful--fiber layer in which the canonical fiber is nontrivial and role assignme |
| title | Canonical Certification Does Not Exhaust Reflective Structure: Reflective Split, Strict Refinement, and Fiber Structure in Infinity Compression |
| topic | Lean 4 formal verification infinity compression reflexive systems machine-checked proof NEMS preprint |
| url | https://doi.org/10.5281/zenodo.19430489 |