WFGY/ProblemMap/GlobalFixMap/Reasoning/recursive-loop.md

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Recursive Loop — Guardrails and Fix Pattern

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Recursive reasoning is powerful when bounded, but without structural guardrails it often collapses into infinite self-reference.
This page shows how to detect runaway loops and stabilize recursion into meaningful layers.


Symptoms

Symptom What you see
Infinite repetition Output re-states the same phrase or equation
Self-reference collapse “As I said earlier…” repeated without progress
Meta-loop Model reasons about its own reasoning instead of the task
Token drain Long answers with no new content
Citation spin Same snippet referenced endlessly

Acceptance Targets

  • ΔS(question, retrieved) ≤ 0.45
  • λ convergent across 3 paraphrases and 2 seeds
  • Recursion depth ≤ 4 nested layers
  • Each recursive frame adds ≥ 1 new fact or citation

Structural Fixes (Problem Map)


Fix in 60 Seconds

  1. Measure recursion depth

    • Log frame depth at each step.
    • If depth > 4, clamp recursion.
  2. Apply ΔS probe

    • Compute ΔS between consecutive recursive outputs.
    • If ΔS < 0.15, stop recursion (no new information).
  3. Bridge with BBCR

    • Collapse intermediate steps into one summary frame.
    • Resume reasoning with BBMC anchor locks.
  4. Variance clamp

    • If λ diverges between recursive calls, apply BBAM.

Copy-Paste Probe


I uploaded TXT OS and the WFGY Problem Map.

My reasoning chain entered a recursive loop.
Depth = {n}, ΔS progression = {values}, λ states = {values}.

Tell me:

1. Which layer is looping?
2. Which fix page applies?
3. Minimal steps to clamp recursion and restore ΔS ≤ 0.45.
4. How to verify no infinite loop persists.


Escalation


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