stress-test-validity-envelope-mapping

Research

Map the complete validity envelope of a claim across all relevant dimensions, synthesizing breakpoints into a bounded region.

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Validity Envelope Mapping

Tactics

boundary-probing
contradiction-derivation

Method

Identify all dimensions where claim validity may vary
For each dimension, probe from center outward to find boundaries
Record transition points (valid -> invalid)
Construct multi-dimensional validity envelope
Identify the weakest dimensions (narrowest valid range)
Report envelope with confidence levels per boundary

Budget

Size	Envelope dimensions	Probes per dimension	Resolution
S	2	5	Coarse
M	4	8	Medium
L	6	12	Fine

Orchestration

Dispatch parameter-space-mapping for full dimension inventory
For each dimension, dispatch extreme-value-generation
Dispatch breakpoint-detection with binary search refinement
Dispatch validity-envelope-construction for final synthesis

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.
contradiction-derivation	Negate a claim, derive logical consequences step by step, detect whether a genuine contradiction or absurdity emerges.

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.