integrated-reasoning-v2

What this skill does

# Integrated Reasoning v2 (IR-v2)

Meta-orchestration guide for choosing optimal reasoning patterns. Analyzes problem characteristics and recommends which cognitive methodology to use.

## When to Use

Invoke when facing complex problems and unsure which reasoning approach fits best. IR-v2 scores 11 dimensions and selects the optimal pattern.

## Available Patterns

| Pattern | Best For | Key Strength |
|---------|----------|--------------|
| **ToT** (Tree of Thoughts) | Find THE best among known options | Systematic evaluation |
| **BoT** (Breadth of Thought) | Explore ALL possible approaches | Exhaustive coverage |
| **SRC** (Self-Reflecting Chain) | Step-by-step with validation | Error correction |
| **HE** (Hypothesis-Elimination) | Find root CAUSE of issues | Diagnostic precision |
| **AR** (Adversarial Reasoning) | Stress-test solutions | Robustness validation |
| **DR** (Dialectical Reasoning) | Synthesize opposing views | Trade-off resolution |
| **AT** (Analogical Transfer) | Novel problems, no precedent | Creative solutions |
| **RTR** (Rapid Triage Reasoning) | Time-critical decisions | Speed optimization |
| **NDF** (Negotiated Decision Framework) | Multi-stakeholder alignment | Consensus building |

## Quick Selection Guide

```
"I need the BEST option"           → ToT
"I need ALL options"               → BoT
"I need to trace step by step"     → SRC
"I need to find THE CAUSE"         → HE
"I need to VALIDATE a solution"    → AR
"I'm stuck between two approaches" → DR
"This is completely novel"         → AT
"I need to decide NOW"             → RTR
"Multiple stakeholders must agree" → NDF
```

## Dimension Scoring (0-5)

Before selecting a pattern, score these dimensions:

1. **Sequential Dependencies** - Do steps depend on previous results?
2. **Criteria Clarity** - How clear are success criteria?
3. **Solution Space Known** - Are possible solutions well-defined?
4. **Single Answer Needed** - Is one best answer required?
5. **Evidence Available** - Can hypotheses be tested?
6. **Opposing Valid Views** - Are there legitimate tensions?
7. **Problem Novelty** - How unprecedented is this?
8. **Robustness Required** - Must solution withstand attack?
9. **Solution Exists** - Is there already a proposed solution?
10. **Time Pressure** - How urgent is the decision?
11. **Stakeholder Complexity** - How many parties must agree?

## Pattern Affinity Formulas

```
ToT = (CriteriaClarity × 0.35) + (SingleAnswer × 0.30) + (SolutionSpaceKnown × 0.20) + (SequentialDeps × 0.15)

BoT = (1-SingleAnswer × 0.35) + (ProblemNovelty × 0.30) + (1-CriteriaClarity × 0.20) + (SequentialDeps × 0.15)

SRC = (SequentialDeps × 0.45) + (CriteriaClarity × 0.25) + (EvidenceAvailable × 0.20) + (RobustnessRequired × 0.10)

HE = (EvidenceAvailable × 0.40) + (CriteriaClarity × 0.30) + (SequentialDeps × 0.20) + (RobustnessRequired × 0.10)

AR = SolutionExists >= 3 ? (RobustnessRequired × 0.45) + (EvidenceAvailable × 0.25) + (CriteriaClarity × 0.20) + (1-TimePressure × 0.10) : 0

DR = (OpposingValidViews × 0.50) + (CriteriaClarity × 0.20) + (1-SingleAnswer × 0.15) + (1-TimePressure × 0.15)

AT = (ProblemNovelty × 0.45) + (1-SolutionSpaceKnown × 0.30) + (1-CriteriaClarity × 0.15) + (EvidenceAvailable × 0.10)

RTR = (TimePressure × 0.50) + (CriteriaClarity × 0.25) + (RobustnessRequired × 0.15) + (SequentialDeps × 0.10)

NDF = StakeholderComplexity >= 3 ? (StakeholderComplexity × 0.50) + (OpposingValidViews × 0.25) + (1-TimePressure × 0.15) + (CriteriaClarity × 0.10) : 0
```

## Parallel Execution

When top 2 patterns score within 0.3 of each other:
1. Run both patterns in parallel
2. Compare outputs for agreement/disagreement
3. Use consensus or vote to determine final answer
4. Calibrate confidence based on agreement level

## Usage Example

```
User: "Should we use microservices or monolith for our new app?"

IR-v2 Analysis:
- Sequential Dependencies: 2 (independent evaluation)
- Criteria Clarity: 3 (some clear, some subjective)
- Solution Space Known: 5 (two options)
- Single Answer Needed: 5 (must pick one)
- Opposing Valid Views: 4 (both have merit)

Top Patterns:
1. DR = 3.85 (opposing valid views present)
2. ToT = 3.60 (clear options to evaluate)

Recommendation: Use DR to synthesize trade-offs, then ToT to score final decision.
```

## Output Format

When invoked, provide:
1. Dimension scores with reasoning
2. Pattern affinity calculations
3. Top 2-3 recommended patterns
4. Suggested execution approach
5. Confidence level (low/medium/high)