INTEGRITY Suite: A Complete Theoretical Architecture for Dual-Process Analogical Reasoning and Alignment in Large Language Models

The INTEGRITY Suite is a 10-paper theoretical architecture addressing the analogical discovery gap in large language models — the well-documented failure of LLMs to autonomously discover non-obvious cross-domain structural connections. The architecture integrates a biologically-motivated dual-process design, a dynamically calibrated Long-Term Pattern Library (LTPL), resonance-based retrieval (Fast System), parallel chain-of-thought nexus detection (Exhaustive System), three-timescale ICR (Integrity–Coherence–Relevance) credibility dynamics, and a six-stage Memory Consolidation Pipeline. All ICR values are unified as geometric readings of a single GM-VAE density landscape. The architecture produces built-in mechanistic interpretability, natural stability, and alignment-by-design properties including Frozen Deployment guarantees. The MRI Tower extends the architecture recursively, providing a structured gradient of comprehensibility for alignment monitoring at all capability levels. The suite is completed by the Recursive Cognitive Augmentation framework, which formalises how BCI-mediated augmentation can ensure human comprehension co-evolves with system depth.Papers in this series:I. The Mechanistic Resonance Interface: A Complete Theoretical Architecture for Dual-Process Analogical Reasoning in LLMsII. Pattern Tokenisation: Density-Based Pattern Discovery in Reasoning Trajectory Space via GM-VAE with Dynamic Gradient ThresholdsIII. The Long-Term Pattern Library: A Dynamically Calibrated Store of Analogical Primitives for LLM ReasoningIV. Hash-Based Structural Resonance: A Fast Pattern Retrieval System for Analogical Reasoning in LLMsV. Nexus Detection via Latent Clustering: An Exhaustive Evaluation System for Cross-Domain Analogical Discovery in LLMsVI. The ICR Mediation Layer: Dynamic Credibility Signals for Dual-Process Analogical Reasoning in LLMsVII. The Memory Consolidation Pipeline: From Validated Nexuses to Permanent Analogical Knowledge in LLMsVIII. Mechanistic Resonance Integration: A Unified Dual-Process Architecture for Autonomous Analogical Reasoning in LLMsIX. The MRI Tower: A Self-Similar Hierarchical Architecture for Recursive Abstraction and Mechanistic Interpretability in Superintelligent SystemsX. Recursive Cognitive Augmentation: Brain-Computer Interfaces and the Co-Evolution of Human Comprehension with MRI Tower Depth