# Systematic Enumeration

> Systematic Enumeration Campaign — exhaustive coverage analysis to discover overlooked solution spaces via benchmark sweep, method-problem matrix, ablation, and failure taxonomy

- Skill: `yogsoth-ai/systematic-enumeration` (Agent Skill)
- Install (CLI): `npx skillmds@latest add yogsoth-ai/systematic-enumeration`
- Raw SKILL.md: https://api.skillmd.com/api/skills/yogsoth-ai/systematic-enumeration/raw
- Safety review: pending
- Works with: Claude Code, Claude.ai, OpenAI Codex
- Category: Marketing & Growth
- Author: yogsoth-ai (https://skillmd.com/u/yogsoth-ai)
- Updated: 2026-09-17
- Page: https://skillmd.com/skills/yogsoth-ai/systematic-enumeration

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# Systematic Enumeration

Exhaustive coverage analysis to discover overlooked solution spaces via benchmark sweep, method-problem matrix, ablation, and failure taxonomy.

## Strategy Routing

| Strategy | Signal Keywords |
|----------|----------------|
| benchmark-sweep | benchmark, state-of-the-art, survey, catalog, inventory, known solutions |
| method-problem-matrix | matrix, crossing, intersection, method×problem, unexplored combinations |
| ablation-brainstorm | ablation, remove, component, dependency, what-if-removed |
| failure-taxonomy | failure, fault, error, breakdown, failure mode, robustness |
| factorial-ideation | factor, level, DOE, design of experiments, combination, factorial |

## Manifest

### Strategies

| Strategy | Description |
|----------|-------------|
| benchmark-sweep | Systematically scan all known solutions, identify gaps |
| method-problem-matrix | Cross method×problem matrix, find unexplored intersections |
| ablation-brainstorm | Remove components one by one, observe system changes |
| failure-taxonomy | Catalog all failure modes, generate targeted solutions |
| factorial-ideation | DOE thinking: identify factors, define levels, explore combinations |

### Tactics

| Tactic | Description |
|--------|-------------|
| evaluation-filtering | Multi-dimensional evaluation and tiered filtering (shared) |
| coverage-analysis | Benchmark inventory → method-problem crossing → intersection evaluation |
| gap-driven-generation | Coverage gap detection → failure-driven generation → factor-level design |

### SOPs

| SOP | Description |
|-----|-------------|
| benchmark-inventory | Catalog all known solutions/methods in domain |
| method-problem-crossing | Build method×problem cross-reference matrix |
| intersection-evaluation | Evaluate exploration status of each matrix cell |
| ablation-execution | Remove components one by one, record responses |
| dependency-identification | Identify critical dependencies from ablation results |
| failure-mode-cataloging | Systematically catalog failure modes |
| failure-driven-generation | Generate solutions targeting each failure mode |
| factor-level-design | Identify factors and levels, design experiment matrix |
| coverage-gap-detection | Detect uncovered regions in solution space |
| enumeration-synthesis | Synthesize all systematic enumeration outputs |

## Budget Table

| Strategy | web-search | web-research | paper-overview | paper-search | paper-research |
|----------|-----------|-------------|---------------|-------------|---------------|
| benchmark-sweep | 30 | 10 | 30 | 20 | 8 |
| method-problem-matrix | 25 | 8 | 25 | 15 | 5 |
| ablation-brainstorm | 20 | 5 | 20 | 12 | 5 |
| failure-taxonomy | 25 | 10 | 25 | 15 | 5 |
| factorial-ideation | 20 | 8 | 20 | 12 | 5 |

## MCP Tools

| Tool | Server | Purpose |
|------|--------|---------|
| brave_web_search | brave-search | General web search for methods and examples |
| brave_llm_context | brave-search | Deep content extraction from web pages |
| apify/rag-web-browser | apify | Full page scraping for detailed content |
| get_paper_content | alphaxiv | Read academic paper content |
| discover_papers | alphaxiv | Find relevant research papers |
| relevanceSearch | semantic-scholar | Search academic literature |
| paper | semantic-scholar | Get paper details |
| citations | semantic-scholar | Trace citation networks |

## Context Management

- Each strategy tracks its own budget via State Ledger
- Strategies MUST NOT exceed allocated budget
- Campaign monitors cumulative spend across all strategies
- If a strategy exhausts budget before meeting yield, escalate to campaign level for reallocation
- Prefer paper-overview over paper-research for initial exploration (lower cost)

## Available Tactics

| Tactic | Role |
|--------|------|
| evaluation-filtering | Multi-dimensional evaluation and tiered filtering (shared) |
| coverage-analysis | Benchmark inventory → crossing → intersection evaluation |
| gap-driven-generation | Gap detection → failure-driven generation → factor-level design |

## Available SOPs

| SOP | Role |
|-----|------|
| benchmark-inventory | Catalog all known solutions in domain |
| method-problem-crossing | Build method×problem cross-reference matrix |
| intersection-evaluation | Evaluate exploration status of matrix cells |
| ablation-execution | Component removal and response recording |
| dependency-identification | Critical dependency extraction |
| failure-mode-cataloging | Systematic failure mode classification |
| failure-driven-generation | Targeted solution generation per failure mode |
| factor-level-design | Factor/level identification and experiment matrix |
| coverage-gap-detection | Uncovered region detection and prioritization |
| enumeration-synthesis | Final synthesis of all enumeration outputs |

<!-- BEGIN available-tables (generated) -->

## Available Strategies

Optional, no fixed order; the final leaf is always a sop.

| Strategy | When to use |
| --- | --- |
| ablation-brainstorm | Remove components one by one, observe system changes to reveal hidden dependencies and generate ideas from structural gaps. |
| benchmark-sweep | Systematically scan all known solutions, identify gaps in coverage and unexplored regions of the solution space. |
| factorial-ideation | DOE thinking: identify factors, define levels, and explore combinations to systematically cover the design space. |
| failure-taxonomy | Catalog all failure modes in a domain, classify them systematically, and generate targeted solutions for each failure type. |
| method-problem-matrix | Cross method×problem matrix, find unexplored intersections where known methods have not been applied to known problems. |

## Available Tactics

Optional, no fixed order; the final leaf is always a sop.

| Tactic | When to use |
| --- | --- |
| coverage-analysis | Systematic coverage evaluation pipeline — benchmark inventory, method-problem crossing, and intersection evaluation to map explored vs unexplored solution space. |
| creative-ideation-combination-mapping | Systematically enumerate parameter dimensions and generate viable combinations. Orchestrates parameter extraction → value enumeration → compatibility assessment → synthesis. |
| evaluation-filtering | Multi-dimensional evaluation and tiered filtering of generated ideas. Orchestrates novelty assessment → feasibility check → ranking → selection. |
| gap-driven-generation | Generate solutions targeting specific coverage gaps — detect gaps, generate failure-driven solutions, and design factor-level experiments. |

## Available SOPs

Optional, no fixed order; the final leaf is always a sop.

| SOP | When to use |
| --- | --- |
| context-checkpoint | Append research process and results to the current Phase's context file. Covers both process and results with genuine substance. Use this skill at plan-designated checkpoint points — typically after each strategy completes or at key decision nodes within a research Phase. |
| context-init | Create a new context file for a research Phase. Called once at Phase start to initialize the file that subsequent context-checkpoint calls will append to. Use this skill whenever a new research Phase begins and a fresh context file is needed. |
| creative-ideation-novelty-scoring | Score ideas on novelty dimensions — structural distance from known solutions, conceptual surprise, domain-crossing depth. Produces ranked novelty assessment. |
| creative-ideation-saturation-detection | Determine when additional ideation yields diminishing returns. Analyzes latest idea batch against existing corpus to judge continue/near-saturation/saturated. |
| enumeration-synthesis | Synthesize all systematic enumeration outputs into a structured idea report with prioritized recommendations. |
| idea-synthesis | Synthesize diverse ideas into coherent solution concepts. Combines fragments from multiple ideation passes into structured, actionable ideas with clear mechanism descriptions. |
| parameter-identification | Identify the key parameters/dimensions of a problem space. Produces a structured parameter list with value ranges for morphological analysis. |

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