What question did this study set out to answer?

This work aims to create a framework for understanding null-structural markers and validating them semantically.

July 9, 2026Open Access

Domain-Guarded Semantics for Null-Structural Markers: Partial Predicates, Relative Eliminability, and Proof-Carrying Validation

Key Points

This work aims to create a framework for understanding null-structural markers and validating them semantically.
Developed a domain-guarded semantic framework for null-structural markers.
Formalized relative eliminability using translation classes and conservativity levels.
Introduced a proof-carrying validator for guard-safe formulas.
Distinguished structural inapplicability from falsehood effectively.
Established a formal basis for validating semantic frameworks.
Updated technical materials to enhance clarity and usability of the framework.

Abstract

This preprint develops a domain-guarded semantic framework for null-structural markers. The framework distinguishes structural inapplicability from falsehood by replacing total Has-style predicates with a DomHas/HasVal discipline, formalizes relative eliminability through translation classes and conservativity levels, and introduces a proof-carrying validator for guard-safe formulas. The work is formal-semantic and does not assert the physical existence of a null-sector object. Version v1.4.2 updates the earlier preprint package by centering the integrated journal manuscript, retaining the boundary-case interpretation note only as an explicitly non-claim appendix, and adding the technical audit and validator-support materials in the archival ZIP package.

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