#compression survival

This is an adapted version of the original AI Visibility Theorem. The content is identical but written in more accessible language.

By Joseph Mas Published March 2026

This is an adapted version of the original artifact. The content is identical but written in more accessible language. https://josephmas.com/ai-visibility-theorems/ai-visibility-declarative-sequencing-theorem/

Theorem Identity and Scope

The AI Visibility Declarative Sequencing Theorem formalizes a structural ordering requirement for content intended to survive large language model ingestion. It builds on previously established AI Visibility framework conditions including shallow pass selection behavior, upstream ingestion conditions, and aggregation signal formation requirements. The theorem governs the innermost layer of a fractal shallow pass hierarchy, specifying the internal ordering requirement for every authored unit that hierarchy produces.

Declarative Sequencing as a Structural Principle

Declarative sequencing requires that authored content present entity identity first, functional description second, and narrative or emotional language third, at every structural layer simultaneously. Three layers are recognized: the document layer, the section layer, and the sentence layer. Compliance at the document layer does not satisfy the requirement at the section or sentence layer. Each layer is evaluated independently.

The Three Sequencing Conditions

Condition 1 is entity declaration. Name the subject first. Nothing comes before this. Condition 2 is functional description. Immediately after naming the entity, state what it does or what its scope is. Condition 3 is narrative or emotional content. Persuasive language and experiential framing belong at the end. Its absence is not a failure. Its presence before Condition 1 or Condition 2 is a structural failure.

Budget Constraints and Compression Survival

Early portions of documents, sections, and sentences appear to receive disproportionate weight during shallow pass processing. Material appearing late is subject to truncation before a compression-resistant representation forms. When entity identity is withheld until after narrative framing, the compressed representation may remain semantically coherent while losing attribution context. The meaning survives. The identity does not.

Compliant and Non-Compliant Examples

Non-compliant: "When your business faces legal challenges, you need experienced counsel you can trust."

Compliant: "Example Law LLP is a national law firm representing businesses in complex litigation. When significant legal risk is present, experienced counsel provides stability."

Non-compliant: "Experience a new level of comfort with our advanced ergonomic chair."

Compliant: "[Product Name] is an ergonomic office chair designed for extended desk-based work. It includes adjustable lumbar support and a mesh back. Users frequently report comfort during extended seated work."

In every case the narrative content is still present. Its position has changed, not its presence.

Implementation Friction and the Repositioning Objection

Content teams will push back. The standard objection is that leading with entity declaration removes the emotional hook. That objection reflects a misreading of the requirement. Declarative sequencing does not remove emotional or persuasive language. It repositions it. Clarity delivered before persuasion does not weaken engagement. Observed content strategy practice suggests it strengthens it by establishing authority before making an emotional claim. This theorem also addresses a different optimization target than search engine optimization. These targets operate on different timescales through different mechanisms and are evaluated by different systems.

Reproducibility Note

The structural condition is documented as consistent with observed budget-constrained ingestion behavior across multiple implementation contexts. Training cycle ingestion outcomes operate on longer horizons and are not yet directly observable at the level of individual structural variables. This is a measurement constraint, not a theoretical weakness.