THE COUNTEREXAMPLE-INTEGRATED DEFAULT-BOUNDARY RECONSTRUCTION PRINCIPLE (CIDBRP): A Structure-Conditioned Framework for Balancing Abstraction, Generalization, and Adverse-Regime Robustness
Year: 2026
Type: preprint
Abstract: A simplified generalization can remain practically useful while failing under particular adverse, boundary, or previously unexamined conditions. Conversely, unrestricted inclusion of every counterexample may produce a fragmented collection of exceptions, increase model complexity, and weaken generalization to unfamiliar cases. The central problem addressed in this paper is therefore not whether simplification or counterexample analysis should be accepted exclusively, but how a defensible relationship between them can be constructed.This paper proposes the Counterexample-Integrated Default-Boundary Reconstruction Principle (CIDBRP). CIDBRP is a methodological and theoretical framework for formalizing a default generalization, validating counterexamples, distinguishing competing defeaters, diagnosing possible failure mechanisms, reconstructing applicability boundaries, and evaluating whether a model should be retained, conditionally retained, revised, partitioned, superseded, rejected, or left undetermined.Its central proposed extension is the Structure-Conditioned Abstraction-Robustness Balance Mechanism (SCARB-M). SCARB-M treats the selection of a model as a constrained or multi-objective decision problem involving nominal performance, adverse-regime performance, model complexity, uncertainty, coverage, and the consequences of failure. A three-regime decision architecture distinguishes validated nominal conditions, validated adverse conditions, and insufficiently supported conditions.Formal definitions, conditional equations, operational variables, hypotheses, competing-model comparisons, validation procedures, and a research protocol are specified. The equations are presented as proposed formal tools rather than established universal laws.The paper does not claim that all simplifications fail, that all counterexamples should be incorporated, or that a universally optimal balance exists. The central claims require comparative testing, independent validation, literature-based novelty assessment, and domain-specific operationalization.Keywords: counterexample validation; default generalization; abstraction; model revision; boundary reconstruction; adverse-regime robustness; model complexity; falsifiability; multi-objective optimization; SCARB-M; CIDBRP.
Author: Shan, Shamiul Hoque
Language: English
Subfield: Artificial Intelligence
Field: Computer Science
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7225565260