method-problem-matrix

Research

Cross method×problem matrix, find unexplored intersections where known methods have not been applied to known problems.

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Method-Problem Matrix

Cross all known methods against all known problems to find unexplored intersections — combinations that nobody has tried yet.

State Ledger

Resource	Target	%
web-search	25	0%
web-research	8	0%
paper-overview	25	0%
paper-search	15	0%
paper-research	5	0%

HARD-GATE

Cannot exit strategy until ≥80% of each budget line is consumed OR yield targets are met with justification for remaining budget.

Available Tactics

Tactic	Role
coverage-analysis	Systematic coverage evaluation pipeline
evaluation-filtering	Score and filter intersection-derived ideas

Available SOPs

SOP	Role
benchmark-inventory	Gather method list and problem list
method-problem-crossing	Build the full cross-reference matrix
intersection-evaluation	Annotate each cell's exploration status
enumeration-synthesis	Synthesize matrix analysis into actionable report

Execution Guidance

Enumerate methods: Catalog all known methods in the domain
Enumerate problems: Catalog all known problems/challenges
Cross: Build M×P matrix via method-problem-crossing
Annotate: Mark each cell explored/partial/unexplored
Prioritize: Rank unexplored cells by potential impact
Generate: Propose solutions for top-priority unexplored intersections

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.

Available SOPs

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

SOP	When to use
creative-ideation-benchmark-inventory	Catalog all known solutions/methods in a domain with performance, applicability, and limitations.
enumeration-synthesis	Synthesize all systematic enumeration outputs into a structured idea report with prioritized recommendations.
intersection-evaluation	Evaluate exploration status of each cell in a method×problem matrix, annotating as explored, partial, or unexplored.
method-problem-crossing	Build method×problem cross-reference matrix showing which methods have been applied to which problems.