Symbol Reference

🔣 Symbol Reference Guide

Complete reference for all symbols used in the CursorRIPER♦Σ framework, organized by category for quick lookup.

🎯 Quick Symbol Lookup

System Identifiers

Symbol	Name	System	Usage
Ω	Omega	Modes	Ω₁-Ω₅ for RIPER modes
Π	Pi	Phases	Π₁-Π₄ for project phases
Σ	Sigma	Memory	Memory operations
Ψ	Psi	Protection	Ψ₁-Ψ₆ protection levels
Γ	Gamma	Context	Γ₁-Γ₈ context types
ℙ	Double-P	Permissions	CRUD permissions

Mode Symbols (Ω)

Symbol	Mode	Command	Emoji
Ω₁	RESEARCH	/r	🔍
Ω₂	INNOVATE	/i	💡
Ω₃	PLAN	/p	📝
Ω₄	EXECUTE	/e	⚙️
Ω₅	REVIEW	/rev	🔎

Phase Symbols (Π)

Symbol	Phase	Emoji	Description
Π₁	UNINITIATED	🌱	Framework installed
Π₂	INITIALIZING	🚧	Setup in progress
Π₃	DEVELOPMENT	🏗️	Active development
Π₄	MAINTENANCE	🔧	Long-term support

📁 Memory File Symbols

Core Memory Files (σ)

Symbol	File	Emoji	Purpose
σ₁	projectbrief.md	📋	Requirements & scope
σ₂	systemPatterns.md	🏛️	Architecture & design
σ₃	techContext.md	💻	Technology stack
σ₄	activeContext.md	🔮	Current focus
σ₅	progress.md	📊	Status tracking
σ₆	protection.md	🛡️	Protected regions

Path Symbols

Symbol	Path
📂	/memory-bank/
📦	/memory-bank/backups/

🛡️ Protection Symbols (Ψ)

Protection Levels

Symbol	Level	Command	Emoji	Usage
Ψ₁	PROTECTED	!cp	🔒	Never modify
Ψ₂	GUARDED	!cg	🛡️	Ask permission
Ψ₃	INFO	!ci	ℹ️	Context note
Ψ₄	DEBUG	!cd	🐞	Temporary code
Ψ₅	TEST	!ct	🧪	Test code
Ψ₆	CRITICAL	!cc	⚠️	Business logic

Protection Markers

Start	End	Example
// !cp PROTECTED -	// !cp END-P	Protected section
// !cg GUARDED -	// !cg END-G	Guarded section
// !cc CRITICAL -	// !cc END-C	Critical section

📎 Context Symbols (Γ)

Context Types

Symbol	Type	Cursor Symbol	Command	Description
Γ₁	Files	@Files	!af	File references
Γ₂	Folders	@Folders	!ad	Directory references
Γ₃	Code	@Code	!ac	Code elements
Γ₄	Docs	@Docs	!adoc	Documentation
Γ₅	Rules	@Rules	!ar	Project rules
Γ₆	Git	@Git	!ag	Git references
Γ₇	Notepads	@Notepads	!an	Temporary notes
Γ₈	Pinned	#Files	!pf	Pinned files

Context Status

Symbol	Status	Meaning
🟢	Active	Currently working
🟡	Partial	May reference
🟣	Essential	Always relevant
🔴	Deprecated	To be removed

🔐 Permission Symbols (ℙ)

CRUD Operations

Letter	Operation	Symbol
C	Create	✓/✗/~
R	Read	✓/✗/~
U	Update	✓/✗/~
D	Delete	✓/✗/~

Permission Status

Symbol	Meaning
✓	Allowed
✗	Forbidden
~	Conditional/Limited

Mode Permissions

ℙ(Ω₁) = {R: ✓, C: ✗, U: ✗, D: ✗}  // Research
ℙ(Ω₂) = {R: ✓, C: ~, U: ✗, D: ✗}  // Innovate
ℙ(Ω₃) = {R: ✓, C: ✓, U: ~, D: ✗}  // Plan
ℙ(Ω₄) = {R: ✓, C: ✓, U: ✓, D: ~}  // Execute
ℙ(Ω₅) = {R: ✓, C: ✗, U: ✗, D: ✗}  // Review

🔄 Operation Sets (𝕆)

Operation Categories

Symbol	Category	Operations
𝕆ᵣₑₐₗ	Real	modify_files, write_code, delete_content
𝕆ᵥᵢᵣₜᵤₐₗ	Virtual	suggest_ideas, explore_concepts
𝕆ₒᵦₛₑᵣᵥₑ	Observe	read_files, analyze_content

Mode Operation Sets

𝕊(Ω₁) = {𝕆ₒᵦₛₑᵣᵥₑ: ✓, 𝕆ᵥᵢᵣₜᵤₐₗ: ~, 𝕆ᵣₑₐₗ: ✗}
𝕊(Ω₂) = {𝕆ₒᵦₛₑᵣᵥₑ: ✓, 𝕆ᵥᵢᵣₜᵤₐₗ: ✓, 𝕆ᵣₑₐₗ: ✗}
𝕊(Ω₃) = {𝕆ₒᵦₛₑᵣᵥₑ: ✓, 𝕆ᵥᵢᵣₜᵤₐₗ: ✓, 𝕆ᵣₑₐₗ: ~}
𝕊(Ω₄) = {𝕆ₒᵦₛₑᵣᵥₑ: ✓, 𝕆ᵥᵢᵣₜᵤₐₗ: ~, 𝕆ᵣₑₐₗ: ✓}
𝕊(Ω₅) = {𝕆ₒᵦₛₑᵣᵥₑ: ✓, 𝕆ᵥᵢᵣₜᵤₐₗ: ~, 𝕆ᵣₑₐₗ: ✗}

🧮 Mathematical Operators

Logical Operators

Symbol	Operation	Example
∧	AND	A ∧ B
∨	OR	A ∨ B
¬	NOT	¬A

Relational Operators

Symbol	Meaning	Example
⟶	Leads to	Ω₁ ⟶ ℙ(Ω₁)
→	Transition	Π₁ → Π₂
↔	Bidirectional	Ω₃ ↔ Ω₄
∈	Element of	op ∈ 𝕊(Ω)
∉	Not element of	x ∉ set

Set Operations

Symbol	Operation	Example
∩	Intersection	Γ₁ ∩ Γ₃
∪	Union	Γ₃ ∪ Γ₈
\	Difference	Γ₁ \ Γ₂

📊 Status Indicators

Progress Status

Symbol	Status	Usage
✅	Complete	Task done
⏳	In Progress	Currently working
🔜	Planned	Upcoming
⚠️	Warning	Needs attention
❌	Blocked	Cannot proceed

File Status

Symbol	Status
🟢	Active
🟡	Partial
🟣	Essential
🔴	Deprecated

🔗 Cross-Reference Notation

Basic Pattern

[↗️σₙ:Xᵢ]

Examples

Pattern	Meaning
[↗️σ₁:R₃]	Requirement 3
[↗️σ₂:P₅]	Pattern 5
[↗️σ₅:I₂]	Issue 2

Extended Patterns

Pattern	Meaning
[↗️σ₁:R₃|Γ₃]	Requirement with context
[Γ₃:func()]	Context only
[Ψ₁+Γ₃:code]	Protected context
[ℙ(Ω₁):read]	Permission reference

🏷️ Indexing Prefixes

Standard Prefixes

Prefix	Type	Example
R	Requirement	R₁, R₂
F	Feature	F₁, F₂
P	Pattern/Protected	P₁, P₂
I	Issue	I₁, I₂
M	Milestone	M₁, M₂
D	Decision	D₁, D₂
T	Task	T₁, T₂
C	Criteria	C₁, C₂
S	Step	S₁, S₂

💡 Symbol Combinations

Protection + Context

Combination	Symbol	Meaning
Ψ₁ + Γ₃	🔒💻	Protected code
Ψ₂ + Γ₃	🛡️💻	Guarded code
Ψ₃ + Γ₃	ℹ️💻	Info code
Ψ₄ + Γ₃	🐞💻	Debug code
Ψ₅ + Γ₃	🧪💻	Test code
Ψ₆ + Γ₃	⚠️💻	Critical code

Mode + Context

Combination	Symbol	Meaning
ℙ(Ω₁) + Γ₁	📄🔍	Research file
ℙ(Ω₂) + Γ₃	💻💡	Innovate code
ℙ(Ω₃) + Γ₂	📁📝	Plan folder
ℙ(Ω₄) + Γ₃	💻⚙️	Execute code
ℙ(Ω₅) + Γ₁	📄🔎	Review file

🔌 Optional Extension Symbols

MCP Services

Symbol	Service	Description
Θ	GitHub	Repository operations
Λ	Web Search	Brave search
Υ	Browser	Puppeteer/Playwright
Ξ	Docker	Container management

BMAD Enterprise

Symbol	Feature	Description
Β	Roles	Team roles
Ρ	PRD	Requirements docs
Κ	Gates	Quality gates
Ε	Enterprise	Advanced features

📐 Function Symbols

Memory Functions (Σ)

Function	Purpose
Σ_memory	Memory system
Σ_update	Update memory
Σ_backup	Backup operations
Σ_context	Context management
Σ_permission	Permission handling

File Operations (Φ)

Function	Purpose
Φ_file	File operations
Φ_context	Context operations
Φ_memory	Memory operations
Φ_mode_transition	Mode switches

Context Functions

Function	Purpose
expand(Γₙ)	Expand context
filter(Γₙ, criteria)	Filter context
persist(Γₙ, 📂)	Save context
retrieve(Γₙ, 📂)	Load context
rank(Γₙ, relevance)	Prioritize context

🎓 Symbol Learning Path

Beginner Level

1. Mode symbols (Ω₁-Ω₅)
2. Basic commands (/r, /i, /p, /e, /rev)
3. Status indicators (✅, ⏳, ❌)

Intermediate Level

1. Memory files (σ₁-σ₆)
2. Protection levels (Ψ₁-Ψ₆)
3. Context types (Γ₁-Γ₈)
4. Basic cross-references

Advanced Level

1. Permission matrices (ℙ)
2. Operation sets (𝕆)
3. Mathematical operators
4. Complex cross-references

Expert Level

1. Function definitions
2. Symbol combinations
3. Extension symbols
4. Custom notation

📚 Related Topics

• Command Reference
• Mode Reference
• Permission Matrix
• Symbolic Notation

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