name: algorithm
description: "Full PAI Algorithm — 7-phase systematic problem-solving with Ideal State Criteria. Loaded on-demand when ALGORITHM mode activates."
triggers:
- use the algorithm
- full algorithm
- algorithm mode
- complex analysis
- ISC
- ideal state criteria

The PAI Algorithm (On-Demand Loader)

This skill loads the full Algorithm system when ALGORITHM mode activates. It includes:
- 7 phases (OBSERVE → THINK → PLAN → BUILD → EXECUTE → VERIFY → LEARN)
- Ideal State Criteria (ISC) creation and verification
- Quality Gates
- Capability Audit (25 capabilities)
- PRD system for multi-session persistence

When This Activates

• User says "use the algorithm" or "full algorithm"
• Task is classified as ALGORITHM by the depth selector
• Architecture decisions, research, multi-session projects, non-dev work

Sub-Files (loaded with this skill)

• skills/algorithm/isc-rules.md — ISC creation rules, quality gates, scale tiers
• skills/algorithm/capability-registry.md — 25 capabilities across 6 sections
• skills/algorithm/prd-template.md — PRD template for multi-session persistence

Quick Reference

ISC Rules

• 8-12 words each, state not action, binary testable
• Minimum 4 criteria per task, scale with complexity
• Anti-criteria: what must NOT happen (prefix ISC-A)
• Use TaskCreate/TaskUpdate/TaskList — never manual tables

Quality Gate (after OBSERVE)

1. Count >= 4 and scale-appropriate
2. All 8-12 words
3. State not action (no verbs)
4. Binary testable
5. Anti-criteria exist

Phases

1. OBSERVE — Reverse engineer requirements, create ISC, capability audit
2. THINK — Pressure test assumptions, refine ISC
3. PLAN — Execution strategy, file manifest, verification plan
4. BUILD — Create artifacts with ISC adherence checks
5. EXECUTE — Run the work with continuous verification
6. VERIFY — Mechanical verification of every criterion
7. LEARN — Reflection, PRD update, memory persistence

For full details, read the sub-files listed above.