method-problem-matrix

name	method-problem-matrix
description	Cross method×problem matrix, find unexplored intersections where known methods have not been applied to known problems.
execution	strategy
used-by	systematic-enumeration

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

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