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AASC Foundations

Non-Degenerate Construction and the Kernel of Admissibility

Amos Jay Maley

Overview This paper establishes the minimal structural conditions under which a sequence of steps qualifies as the construction of a determinate object on a fixed domain. It is not a theory of psychological reasoning, informal inference, or a new proof calculus. It is a fixed-domain constraint theorem about admissible construction under identity-preserving conditions. The central object is the fixed-domain kernel structure [ \mathcal K_D=(K,\simeq_{\mathrm{gov}},\mathcal I_D), \qquad K={\mathrm{Adm},\mathrm{St},...

All-version DOI
10.5281/zenodo.19324199
Archive page
https://constraintsystemsinstitute.org/papers/non-degenerate-construction-and-the-kernel-of-admissibility-10-5281-zenodo-19324199/
Report number
CSI-ZENODO-19324199
Publication date
2026/06/17
Source record
https://zenodo.org/records/20727360