Boundary Enumeration

Tactics

• boundary-probing

Method

1. Identify all parameter dimensions of the artifact
2. For each dimension, determine nominal range and boundaries
3. Generate test values at boundaries (min, max, min-1, max+1)
4. Test claim validity at each boundary value
5. Record breakpoints where claim fails
6. Synthesize into validity envelope

Budget

Size	Parameter dimensions	Values per dimension	Total probes
S	3	4	12
M	6	6	36
L	10	8	80

Orchestration

1. Dispatch parameter-space-mapping to identify dimensions
2. Dispatch extreme-value-generation for each dimension
3. Dispatch breakpoint-detection at each extreme
4. Dispatch validity-envelope-construction to synthesize

Subagents

• parameter-space-mapping
• extreme-value-generation
• breakpoint-detection
• validity-envelope-construction

Available Tactics

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

Tactic	When to use
boundary-probing	Map parameter space, generate extreme values, test at boundaries, detect breakpoints, synthesize validity envelope.

Available SOPs

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

SOP	When to use
breakpoint-detection	Test a claim at extreme parameter values and detect the precise point where it breaks down.
extreme-value-generation	Generate boundary and extreme test values for a given parameter dimension to stress-test claims.
parameter-space-mapping	Identify all parameter dimensions along which a claim's validity might vary.
stress-test-validity-envelope-construction	Synthesize breakpoints across dimensions into a coherent validity envelope for a claim.