Relational Constraint Foundations (RCF)

Relational Constraint Foundations (RCF) establishes a minimal axiomatic framework for structural entropy and persistent observability based on relational possibility spaces equipped with proper constraints. From these primitives, a canonical definability algebra and graded definability hierarchy are derived, inducing intrinsic structural entropy growth. The framework proves that persistent cumulative structural observability is governed by a necessary and sufficient inequality between structural definability entropy growth and extraction definability capacity growth. RCF provides a constraint-first foundation for structure, entropy, and observability without assuming metric, probabilistic, or physical structure. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-02-14
DOI
https://doi.org/10.5281/zenodo.18637330
Primary Topic
Constraint Satisfaction and Optimization
Type
article
Field-Weighted Citation Impact
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article

Relational Constraint Foundations (RCF)

Murad Ahmadov
Zenodo (CERN European Organization for Nuclear Research)
Constraint Satisfaction and Optimization
article

Relational Constraint Foundations (RCF)

Murad Ahmadov
article en

Abstract

Relational Constraint Foundations (RCF) establishes a minimal axiomatic framework for structural entropy and persistent observability based on relational possibility spaces equipped with proper constraints. From these primitives, a canonical definability algebra and graded definability hierarchy are derived, inducing intrinsic structural entropy growth. The framework proves that persistent cumulative structural observability is governed by a necessary and sufficient inequality between structural definability entropy growth and extraction definability capacity growth. RCF provides a constraint-first foundation for structure, entropy, and observability without assuming metric, probabilistic, or physical structure. Related resourcesAdditional preprints, theoretical frameworks, and ongoing work by the author are available at:https://murad-ahmadov.github.io/

Zenodo (CERN European Organization for Nuclear Research)
Decent work and economic growth
Openalex Percentile: Top 62%
Constraint Satisfaction and Optimization
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