As large language models (LLMs) become integral to complex tasks in law, finance, science, and policy, the structural integrity of prompts has emerged as a critical yet underexplored determinant of output fidelity. This paper introduces the concept of residual frame error—a cognitive and computational failure mode in which outdated semantic structures persist across prompt iterations, contaminating inference and destabilizing logic.
Framework Development: drawing on principles from editorial cognition, transformer attention dynamics, and recursive systems logic, we develop a formal framework for Cognitive Prompt Architecture.
Innovative Techniques: we present techniques including stealth compression, latent anchor anchoring, recursive prompt folding, and context decay detection, each designed to enhance reasoning stability and auditability in extended LLM interactions.
Reconceptualization: through this framework, we reconceptualize prompt engineering not as stylistic manipulation, but as semantic instrumentation capable of enforcing domain-specific logical integrity.
As large language models (LLMs) become increasingly embedded in high-stakes domains such as legal analysis, financial modeling, and scientific validation, the precision and reliability of their outputs are no longer mere conveniences—they are critical to operational integrity. While much attention has been paid to improving LLM performance through model scaling, finetuning, and retrieval augmentation, relatively little focus has been directed toward the structural integrity of the prompts themselves.
This paper begins with the premise that prompts are not merely textual instructions but are latent architectures that define the boundaries of attention, memory, and inferential resolution within an LLM.
Problem Statement
Prompting errors are often diagnosed at the level of content hallucination, factual drift, or omitted constraints. However, these symptomatic failures are frequently the product of a deeper, structural malfunction: the failure to collapse or explicitly reframe a prior latent structure before introducing new logic.
When users attempt to iteratively build on previous outputs without anchoring new semantic frames, they unknowingly permit the persistence of obsolete inference pathways. The result is a hybrid prompt state—partially updated, internally inconsistent, and prone to logic bleed-through.
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Defines residual frame error
As a primary failure mode in recursive prompt design, linking it to analogous phenomena in human cognition and editing.
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Presents a typology of frame-level prompt errors
Including hybrid logic drift, constraint dilution, salience inversion, and latent frame bleed.
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Introduces stealth compression and frame anchoring
Techniques for optimizing semantic density while preserving structural clarity.
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Proposes a method of recursive prompt folding
That mirrors dimensional derivation in both metaphysical and mathematical terms, enabling higher-order control over model reasoning.
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Demonstrates early detection of memory decay in LLMs
Through linguistic and structural cues, offering diagnostic heuristics for real-time correction.
Related Work
Prompt Engineering and Large Language Models
The rise of transformer-based architectures (Vaswani et al., 2017) has ushered in a new era of natural language processing, with models like GPT-3 (Brown et al., 2020), PaLM (Chowdhery et al., 2022), Claude, and Gemini demonstrating increasingly sophisticated language understanding and generative capacity.
Despite progress, most prompt engineering techniques remain procedural rather than architectural: they optimize prompt phrasing and formatting but do not explicitly address the cognitive structure or latent frame management within the interaction.
Cognitive Framing and Editorial Error
The notion of "frames" in cognitive science dates back to the work of Marvin Minsky (1974), who conceptualized them as data structures for representing stereotyped situations. Frame theory has since informed a wide range of disciplines, including linguistics (Fillmore, 1982), artificial intelligence, and technical communication.
Residual frame error, as defined in this paper, is a direct analog of this phenomenon within the prompt engineering domain.
Attention, Memory, and Context Decay in Transformer Models
Transformer models rely on attention mechanisms to prioritize tokens within a given context window. However, their autoregressive nature introduces challenges in long-form interactions. Context decay—the progressive loss of salience for earlier tokens or constraints—is a recognized issue in language model performance.
These phenomena mirror residual frame errors at the computational level: earlier logic structures are not explicitly erased, but rather deprioritized or distorted by attention reallocation.
Residual Frame Errors: Definition and Origin
Technical Editing and Cognitive Inertia
In the domain of technical editing, residual frame errors refer to a class of cognitive mistakes wherein an outdated conceptual structure persists beyond its relevance, contaminating subsequent revisions. These errors typically arise when an editor—familiar with an earlier draft—revises a document without fully collapsing or reprocessing prior logic.
This phenomenon is especially common in recursive, long-form editing tasks where logic is revised incrementally. Research in editorial cognition (Gopen & Swan, 1990; Flower & Hayes, 1981) has shown that cognitive load and mental model persistence are key contributors to such oversights.
Translating Frame Error to Prompt Engineering
We define residual frame error in prompt engineering as the unintentional persistence of a previously valid semantic structure across multiple interaction turns or prompt layers. It manifests when users build new logic atop previous prompts without explicitly dissolving or reframing the latent structures embedded in the earlier exchange.
Crucially, residual frame error is not a hallucination in the traditional sense—where the model fabricates content in the absence of data—but a structural hallucination, where the model's reasoning is warped by the carryover of an outdated internal frame.
Lack of Explicit Frame Termination: Most users do not explicitly signal that a prior logical frame is obsolete.
Prompt Overlap and Semantic Interleaving: When prompts interleave old and new logic without clear demarcation, the model blends frames into a hybrid state.
User Confirmation Bias: Users often reuse prompts that previously worked well, inadvertently reactivating old frames.
Prompt Compression and Semantic Efficiency
Stealth Compression Techniques
In traditional prompt design, bulleted lists, line breaks, and structural spacing are commonly used to organize information for legibility. However, these formatting choices consume valuable tokens, especially in models with constrained context windows.
Stealth compression refers to a suite of strategies for maximizing semantic density while preserving interpretive clarity. These include inline enumerations, semicolon-separated assertions, labeled clauses, and structurally compacted audit sequences.
Example: Confirm the following: (1) Jobs Created = 75; (2) Job ID Range = J001–J074; (3) Equity + Debt = 100%.
Token Efficiency vs. Interpretability Tradeoffs
Token economy is not an absolute good—efficiency must be balanced with interpretability. Over-compressed prompts risk losing semantic disambiguation, especially in cases involving nested logic or exception handling.
Stealth compression is best applied in:
Audit confirmations
Procedural validations
Bounded logic checks
Empirical results show that semicolon-chained instructions with labeled assertions outperform freeform text and multiline bullets in both token economy and consistency of model response.
Microstructures of Semantic Anchoring
Stealth compression is most powerful when combined with microstructural anchoring—short, stable tokens that function as internal memory nodes. Labels like Rule_A, Check_3, or Confirm_B1 help the model semantically bind new logic to prior constraints.
These anchors reduce the cognitive burden on both user and model by:
Offering shorthand references to latent frames.
Enabling scoped logic in multi-turn dialogues.
Reinforcing cross-message continuity without redundancy.
Context Window Decay: Detection and Intervention
Early Warning Signs of Memory Decay
Transformer-based language models, despite their extended context windows, do not possess true long-term memory. Instead, they operate on a sliding window of active attention, which prioritizes recency and proximity over durability.
Context window decay refers to the progressive erosion of semantic fidelity over long-form interactions. Unlike catastrophic forgetting, which denotes the loss of model weights during retraining, context decay is transient, dynamic, and local to the current session.
Subtle indicators of early decay include:
Verbatim repetition of user phrasing with reduced variation
Omission of secondary constraints that were earlier integrated
Simplified or hedged responses
Failure to resolve exceptions or edge cases
Loss of internal state structure
Periodic Re-anchoring
Every ~15–20 messages, restate key constraints or logic blocks explicitly (e.g., "As previously established in Rule_A: Equity allocation must sum to 100%").
Mid-Conversation State Audits
Inject prompts like: "Restate your current understanding of the investor allocation logic in one paragraph." This forces the model to retrieve and articulate latent structure.
Named Anchor Recalls
Use short, high-salience references (e.g., "Recall Clause_C") to direct attention without refeeding full text.
Logic Branch Isolation
Break complex instructions into nested prompts with labeled branches to isolate memory scope (e.g., "Confirm conditions for Branch B1 only.")
Implications for Prompt Design and Tooling
Understanding context decay reshapes how we approach prompt engineering. Prompt design must now include:
State Checkpointing
Regular interaction intervals to preserve context integrity
Declarative Framing
Language that signals transitions and logic closures
Prompt Modularity
Enabling scoped recall and targeted reactivation
Live State Visualization
Of active semantic anchors and attention patterns
Recursive Frame Architectures and Conclusion
Folding Prompt Logic for Hierarchical Reasoning
Complex analytical tasks often require the resolution of nested logic chains: conditions embedded within subconditions, procedures with branching paths, and systems that unfold iteratively. Traditional flat prompting structures fail to express this complexity efficiently.
Recursive frame architecture introduces a hierarchical structuring method wherein prompts are designed not merely as linear instructions, but as nested evaluative scaffolds. Each layer of the prompt defines a frame with its own scope, resolution rules, and termination cues.
Resolve the following in order: (1) System-level constraint validation (S1–S3); (2) Branch-level exceptions (B1a, B1b); (3) Entity-specific allocations (E_alpha, E_beta).
Conclusion
Large language models are not blank slates; they are recursive inference machines operating within latent attention scaffolds. To harness their full potential in domains that demand logical integrity and epistemic precision, we must move beyond superficial prompt optimization and toward formal control of semantic structure.
This paper introduced the concept of residual frame error as a fundamental failure mode in prompt-based interaction. Through techniques such as stealth compression, latent frame anchoring, context decay detection, and dimensional prompt unfolding, we outlined a new theory and practice: Cognitive Prompt Architecture.
As LLMs become embedded in the cognitive infrastructure of law, science, finance, and education, the stakes of prompt design will continue to rise. Structural prompt engineering is no longer a fringe craft or creative hack; it is the foundation of reliable human-AI collaboration.
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Cognitive Prompt Architecture
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Recursive Frame Design
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Context Decay Management
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Stealth Compression
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Residual Frame Error Prevention
Our work marks an initial foray into a field we believe will soon become central to applied machine reasoning. Future directions include formal language development for prompt modularity, system-level tools for logic scaffolding, and empirical benchmarks for structural prompt integrity.
In the meantime, we invite prompt engineers, technical editors, and AI researchers alike to recognize that behind every LLM-generated sentence lies not just probability—but frame.
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