L3_4 Removal Induced Collapse
Abstract
This paper establishes a collapse result for closed admissible systems showing that constraint removal is not a benign operation. It proves that removing any admissible constraint—whether interpreted as simplification, approximation, or abstraction—necessarily induces collapse by reintroducing hidden parameters, illicit scope transport, or standing violation. The analysis is eliminative and non-constructive: it introduces no new primitives, specifies no procedures, and offers no alternative constructions. The result functions as a boundary theorem, demonstrating that admissibility is not robust under subtraction and that apparent redundancy cannot be safely excised once the admissible interior is saturated.
Fields of Study & Subjects
Logic
programming
and type systems
Reasoning
and Knowledge
Diverse Interdisciplinary Research Studies
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 7 February 2026