L3_4 Removal Induced Collapse

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Authors: Amos Maley
Cited by: 0

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