consistency-audit-loop

Research

Detect preference cycles, localize inconsistent judgments, request corrections, and recompute ratings until consistency threshold is met.

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Consistency Audit Loop

Audit a comparison matrix for transitivity violations, pinpoint the most problematic judgments, request re-evaluation of those pairs, and recompute until the consistency threshold is satisfied.

Stages

Detect — cycle-detection scans the comparison matrix for cycles and computes transitivity score
Localize — inconsistency-localization identifies which pairs participate in the most cycles
Repair — comparison-executor re-evaluates the problematic pairs with explicit context about the inconsistency

Loop stages 1-3 until consistency threshold met or repair budget exhausted.

Available SOPs

Stage	SOP	Input	Output
Detect	cycle-detection	comparison_matrix	cycles[], transitivity_score
Localize	inconsistency-localization	comparison_matrix, cycles[]	problematic_pairs[]
Repair	comparison-executor	pair, context	judgment

Execution Guidance

Run detection first — if no cycles and CR < 0.1, exit immediately (no repair needed)
Localization should rank pairs by cycle participation count
When re-comparing, provide the judge with context: "A>B and B>C but you said C>A — please reconsider"
Limit repairs to top 20% most problematic pairs per iteration
After repair, recompute full ratings before next detection pass
Maximum 3 audit iterations to prevent infinite loops
Document all changes in repair log for transparency

Minimum Yield

Consistency report + correction recommendations
Consistency report: CR value, transitivity score, cycle count
List of all cycles found (before and after repair)
Repair log: which pairs were re-evaluated, old vs new judgment
Final consistency status: pass/fail with metrics

Available SOPs

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

SOP	When to use
comparison-executor	Execute a pairwise comparison between two candidates, producing a judgment with winner, confidence, and reasoning.
cycle-detection	Scan a pairwise comparison matrix for preference cycles and compute transitivity metrics.
inconsistency-localization	Identify which specific comparison pairs are most responsible for preference cycles and inconsistencies.