RSO-SPEC-001: Recursive Semantic Operator
Travis L. Guckert
LeMay Publishing
STANDARDS
RSO-SPEC-001: Recursive Semantic Operator
Governance16,980 words105 chapters
Published by LeMay Publishing. 16,980 words across 105 chapters.
About This Publication
Formal specification of the Recursive Semantic Operator for hierarchical intent classification.
Published by LeMay Publishing, a division of LeMay. Massachusetts.
ISBN: 979-8-0000-5025-5
Chapters
1RSO-SPEC-001
2Recursive Semantic Operator: Formal Specification for Hierarchical Intent Classification
3NOTICE
4TABLE OF CONTENTS
5LIST OF FIGURES AND TABLES
6FOREWORD
7NORMATIVE REFERENCES
8DEFINITIONS AND ABBREVIATIONS
9CHAPTER 1 — SCOPE AND PURPOSE
101.1 Scope
111.2 Purpose
121.3 Applicability
131.4 Conformance Levels
14CHAPTER 2 — CONCEPTUAL FOUNDATIONS
152.1 The Problem of Intent Classification
162.2 Hierarchical Semantic Structures
172.3 Recursive Decomposition as Analytical Method
182.4 Theoretical Precedents
19CHAPTER 3 — FORMAL DEFINITIONS
203.1 Semantic Operator
213.2 Recursive Semantic Operator
223.3 Intent Domain
233.4 Semantic Resolution Level
243.5 Classification Lattice
253.6 Termination Conditions
263.7 Operator Composition
27CHAPTER 4 — ARCHITECTURE
284.1 System Architecture Overview
294.2 Input Layer
304.3 Decomposition Engine
314.4 Classification Hierarchy
324.5 Resolution Stack
334.6 Output Layer
344.7 Feedback Mechanisms
35CHAPTER 5 — THE RECURSIVE DESCENT ALGORITHM
365.1 Algorithm Overview
375.2 Phase I: Surface-Level Tokenization
385.3 Phase II: Semantic Embedding and Projection
395.4 Phase III: Hierarchical Classification
405.5 Phase IV: Recursive Refinement
415.6 Phase V: Termination and Consolidation
425.7 Complexity Analysis
435.8 Pseudocode Specification
44CHAPTER 6 — INTENT TAXONOMY
456.1 Taxonomy Design Principles
466.2 Root-Level Intent Categories
476.3 Second-Order Refinements
486.4 Terminal Intent Nodes
496.5 Cross-Domain Intent Mapping
506.6 Extensibility Requirements
51CHAPTER 7 — SEMANTIC RESOLUTION PROTOCOL
527.1 Resolution Levels Defined
537.2 Level 0: Gross Classification
547.3 Level 1: Domain-Specific Classification
557.4 Level 2: Contextual Refinement
567.5 Level 3: Pragmatic Disambiguation
577.6 Level N: Arbitrary Depth Extension
587.7 Resolution Convergence Criteria
59CHAPTER 8 — OPERATOR ALGEBRA
608.1 Algebraic Properties of the RSO
618.2 Composition Rules
628.3 Idempotency Conditions
638.4 Commutativity and Associativity
648.5 Identity and Null Operators
658.6 Monotonicity Guarantees
668.7 Fixed-Point Theorems
67CHAPTER 9 — ERROR HANDLING AND EDGE CASES
689.1 Ambiguity Resolution
699.2 Circular Reference Detection
709.3 Depth Limit Enforcement
719.4 Graceful Degradation
729.5 Confidence Thresholds
739.6 Exception Taxonomy
74CHAPTER 10 — CONFORMANCE REQUIREMENTS
7510.1 Conformance Levels
7610.2 Level 1: Minimal Conformance
7710.3 Level 2: Standard Conformance
7810.4 Level 3: Full Conformance
7910.5 Conformance Testing Procedures
8010.6 Certification Process
81CHAPTER 11 — IMPLEMENTATION GUIDANCE
8211.1 Reference Implementation Notes
8311.2 Performance Considerations
8411.3 Scalability Requirements
8511.4 Integration Patterns
8611.5 Versioning and Migration
87CHAPTER 12 — GOVERNANCE AND MAINTENANCE
8812.1 Specification Governance Model
8912.2 Amendment Procedures
9012.3 Deprecation Policy
9112.4 Community Contribution Protocol
92APPENDIX A — FORMAL GRAMMAR
93APPENDIX B — REFERENCE TAXONOMY TABLES
94APPENDIX C — CONFORMANCE TEST SUITE OUTLINE
95C.1 Structural Tests
96C.2 Functional Tests
97C.3 Algebraic Tests
98C.4 Error-Handling Tests
99C.5 Performance Tests
100APPENDIX D — WORKED EXAMPLES
101D.1 Example 1: Simple Factual Query
102D.2 Example 2: Ambiguous Input Requiring Pragmatic Disambiguation
103D.3 Example 3: Graceful Degradation
104BIBLIOGRAPHY
105INDEX