Name: Heady™ CSL Engine (Continuous Semantic Logic)
Author: HeadyAI

Heady™ CSL Engine (Continuous Semantic Logic)

Use when implementing or extending Continuous Semantic Logic (CSL) — Heady's core geometric AI innovation using vector operations as logical gates. Covers CSL AND (cosine), OR (superposition), NOT (orthogonal projection), IMPLY (projection), XOR, CONSENSUS, GATE operations, plus HDC/VSA binding and bundling, MoE cosine routing, ternary logic, and mathematical proofs. 60+ provisional patents. All parameters use phi-continuous scaling. Keywords: CSL, Continuous Semantic Logic, geometric logic, vector logic, cosine gate, orthogonal projection, semantic NOT, HDC, hyperdimensional computing, VSA, vector symbolic, MoE router, ternary logic, Heady CSL, geometric AI, Sacred Geometry logic.

HeadyAI0 星標2026年3月10日

職業
分類: 架構模式

When to Use This Skill

Use this skill when you need to:

Implement or extend CSL geometric logic gates
Use vector operations for logical reasoning (AND, OR, NOT, IMPLY, XOR)
Build consensus from multiple agent opinions via superposition
Route tasks using cosine-based Mixture-of-Experts
Implement hyperdimensional computing (HDC/VSA) for symbolic operations
Handle uncertainty with ternary logic (TRUE/UNKNOWN/FALSE)
Prove mathematical properties of CSL operations

CSL Gate Definitions

Domain

Unit vectors in ℝᴰ, D ∈ {384, 1536}. Truth value: τ(a,b) = cos(θ) ∈ [-1, +1]

+1 = aligned (TRUE), 0 = orthogonal (UNKNOWN), -1 = antipodal (FALSE)

Operations

Gate	Formula	Interpretation
AND

When to Use This Skill

Use this skill when you need to:

Implement or extend CSL geometric logic gates
Use vector operations for logical reasoning (AND, OR, NOT, IMPLY, XOR)
Build consensus from multiple agent opinions via superposition
Route tasks using cosine-based Mixture-of-Experts
Implement hyperdimensional computing (HDC/VSA) for symbolic operations
Handle uncertainty with ternary logic (TRUE/UNKNOWN/FALSE)
Prove mathematical properties of CSL operations

CSL Gate Definitions

Domain

Unit vectors in ℝᴰ, D ∈ {384, 1536}. Truth value: τ(a,b) = cos(θ) ∈ [-1, +1]

+1 = aligned (TRUE), 0 = orthogonal (UNKNOWN), -1 = antipodal (FALSE)

Operations

Gate	Formula	Interpretation
AND

Heady™ CSL Engine (Continuous Semantic Logic)

When to Use This Skill

CSL Gate Definitions

Domain

Operations

Heady™ CSL Engine (Continuous Semantic Logic)

When to Use This Skill

CSL Gate Definitions

Domain

Operations

Key Properties (proven)

Instructions

1. Phi-Scaled Gate Parameters

2. HDC/VSA Operations

3. MoE Router (CSL-based)

4. Ternary Logic

5. Benchmarking CSL vs Traditional

Theoretical References

Evidence Paths

Sessions

Docker Patterns

Autonomous Loops

Kotlin Patterns

Eval Harness

Golang Patterns