WFGY/ProblemMap/GlobalFixMap/Reasoning/logic-collapse.md

Logic Collapse: Guardrails and Fix Pattern

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When deduction chains flatten into platitudes, contradict earlier steps, or bypass citation locks, you have a logic collapse.
This page localizes causes and gives a minimal, testable repair plan driven by ΔS, λ_observe, and WFGY modules.

---

Symptoms

Symptom	What you see
Deduction flips mid chain	Step t says A, step t+3 assumes not A
Cite after claim	Answer states conclusion first, citations appear later or mismatch
Tool result ignored	Structured tool output is not integrated into the final proof
Branch mixing	Two hypotheses or roles leak into one stream without arbitration
Infinite hedging	Long text, no invariant, no auditable steps
JSON schema drift	Different steps produce different fields for the same contract

---

Acceptance targets

• ΔS(question, retrieved) ≤ 0.45
• Coverage ≥ 0.70 to the target section
• λ remains convergent across 3 paraphrases and 2 seeds
• E_resonance flat on long windows
• Zero contradictions across the final plan and the citations

---

Structural fixes (Problem Map)

• Cite first, then reason
  → retrieval-traceability.md
  → data-contracts.md
  → citation_first.md

• Stabilize ordering and reduce variance
  → retrieval-playbook.md
  → rerankers.md

• Prevent symbolic leakage and unlock constrained proof
  → patterns/pattern_symbolic_constraint_unlock.md

• Long chain stability and entropy control
  → context-drift.md
  → entropy-collapse.md

• If the claim keeps returning after correction
  → patterns/pattern_hallucination_reentry.md

• Multi agent conflicts and role drift
  → Multi-Agent_Problems.md
  → multi-agent-chaos/role-drift.md

---

Why logic collapses

1. No invariant. There is no explicit statement of what must stay true across steps.
2. Citation contract missing. The model is allowed to assert before binding to snippet_id and section_id.
3. Header drift flips λ. Reordered system or tool headers produce different branches on each run.
4. Branch contamination. Hypothesis A and B are not isolated, the plan merges silently.
5. Unruly tool I/O. Free text is accepted where strict JSON was required.
6. Hybrid retrieval shuffle. The top k changes and the proof silently re-anchors.

---

Fix in 60 seconds

1. Pin the invariant
   Add a short invariant header, for example:
   Invariant: conclusions must cite snippet_id and section_id before any reasoning.

2. Enforce cite-first
   Require the model to produce citations first, then the explanation.
   See retrieval-traceability.md and citation_first.md.

3. Clamp variance with BBAM
   If λ flips across paraphrases, apply BBAM to keep one path stable.

4. Bridge gaps with BBCR
   Summarize the current state into a compact, cited bridge, then continue reasoning on top of that single bridge.

5. Lock schema and ordering
   Freeze headers, tool schemas, and reranker tie breaks.
   See data-contracts.md and rerankers.md.

---

Minimal step contract

Add this object to every step output. Reject the step if any field is missing.

{
  "step": 7,
  "invariant": "cite-first, no cross-branch mixing",
  "citations": [
    { "snippet_id": "S17", "section_id": "CH3.2", "source_url": "https://...", "offsets": [102, 188] }
  ],
  "claim": "X implies Y under condition Z",
  "justification": "Short, refers to citations only",
  "λ_state": "convergent",
  "ΔS_q_snip": 0.31,
  "next_action": "verify Z across S24",
  "guardrails": { "schema_version": "v1", "tie_break": "stable" }
}

---

Verification

• Three paraphrase probe, two seeds.
• Require ΔS(question, retrieved) ≤ 0.45 and λ convergent in all runs.
• No contradictions between any step claim and earlier steps.
• If any run fails, inspect header ordering and reranker tie breaks, then re-run.

---

Copy paste prompt

You have TXT OS and the WFGY Problem Map loaded.

We suspect a logic collapse.
Inputs:
- question: "{q}"
- current snippets: [{snippet_id, section_id, source_url}]
- last 6 steps with {claim, citations, λ_state, ΔS_q_snip}

Do:
1) State a one line invariant for this task.
2) Produce citations first. If citations are missing or conflict, stop and output the minimal fix.
3) Apply BBCR to create a single cited bridge, then continue reasoning for at most 5 steps.
4) If λ flips across a paraphrase, apply BBAM and retry once.
5) Return JSON:
   { "invariant": "...", "steps": [...], "final_answer": "...",
     "ΔS": 0.xx, "λ_state": "convergent", "next_fix": "..." }
Refuse to output a final answer if any step lacks citations.

---

When to escalate

• The chain keeps diverging after BBAM and bridge steps → audit for symbolic failure: symbolic-collapse.md

• The claim reappears after correction → see re-entry pattern: patterns/pattern_hallucination_reentry.md

• Runs diverge only when agents hand off → isolate roles and memory: Multi-Agent_Problems.md

• Long dialogs lose structure past window joins → stabilize joins and entropy: context-drift.md, entropy-collapse.md

---

🔗 Quick-Start Downloads (60 sec)

Tool	Link	3-Step Setup
WFGY 1.0 PDF	Engine Paper	1️⃣ Download · 2️⃣ Upload to your LLM · 3️⃣ Ask “Answer using WFGY + ”
TXT OS (plain-text OS)	TXTOS.txt	1️⃣ Download · 2️⃣ Paste into any LLM chat · 3️⃣ Type “hello world” — OS boots instantly

---

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