systematic-enumeration

Research

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

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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

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. Each append MUST contain >=500 lines of markdown covering both process and results. 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.