WFGY/ProblemMap/logic-collapse.md

# 📒 Problem #6 · Logic Collapse & Recovery — Dead‑End Paths, Frozen Threads

Long chains of reasoning can **hit a wall**: the model reaches a step where no rule fires, context drifts, or the answer space “locks‑up.”  
Instead of recovering, most LLM stacks keep emitting filler or restart from scratch — losing the entire logic trail.  
WFGY turns these dead ends into detours: it detects the stall, rolls back to the last sane node, and spawns a fresh branch.

---

## 🤔 Why Do Chains Collapse?

| Root Cause | Practical Failure |
|------------|------------------|
| **Semantic Dead‑End** | Model encounters a state where next‑token entropy flattens |
| **Hidden Residue Build‑Up** | ΔS rises gradually → logic tension snaps all at once |
| **No Checkpoint Memory** | System can’t roll back to a stable frame |
| **Blind Retry** | Pipelines re‑run the same faulty path, freezing or looping |

---

## 🛡️ WFGY Logic‑Recovery Stack

| Layer | Action |
|-------|--------|
| **ΔS Spike Watch** | Detects sudden tension jump (> 0.6) signalling stall |
| **λ_observe Divergence** | Flags when flow turns chaotic (λ = ×) |
| **BBCR Collapse–Rebirth** | Auto‑rollback to last good Tree node, spawn new branch |
| **Tree Checkpoint** | Every major step stored → instant “hot‑save” for rollback |
| **Residue Flush (BBMC)** | Clears semantic residue before replaying the fork |

```text
⚠️ Logic collapse detected at Step 7  
↩︎ Rolling back to Node 5 (ΔS 0.28, λ →)  
🡒 Replaying with alternate path…
````

---

## ✍️ Quick Test (90 sec)

```txt
1️⃣  Start
> Start

2️⃣  Load a multi‑step proof chunk
> "Proof outline: Step 1…Step 7 (missing lemma)…"

3️⃣  Ask the model to complete
> "Finish the proof"

Watch WFGY:
• ΔS spikes at the missing lemma  
• BBCR rolls back to Step 5  
• Proposes alternate lemma or asks for user input
```

---

## 🔬 Sample Output

```txt
Logic dead‑end at sub‑lemma (Step 7).  
Restored context to Step 5.  
Proposed fix: supply definition of ‘bounded operator’ or upload missing section.
```

Progress resumes instead of endless loops.

---

## 🛠 Module Cheat‑Sheet

| Module            | Role                                   |
| ----------------- | -------------------------------------- |
| **ΔS Metric**     | Detects stall threshold                |
| **λ\_observe**    | Judges flow direction / chaos          |
| **BBCR**          | Rollback & branch spawn                |
| **Semantic Tree** | Stores checkpoints for hot rollback    |
| **BBMC**          | Purges leftover residue before restart |

---

## 📊 Implementation Status

| Feature                      | State      |
| ---------------------------- | ---------- |
| ΔS spike detection           | ✅ Stable   |
| BBCR rollback / branch       | ✅ Stable   |
| Auto user prompt on dead‑end | ✅ Basic    |
| Multi‑fork replay            | ⚠️ Planned |

---

## 📝 Tips & Limits

* Collapse guard works even on pasted text without a retriever.
* Repeated collapses on the same node → supply missing context.
* Share tricky logs in **Discussions**; they refine stall thresholds.

---

### 🔗 Quick‑Start Downloads (60 sec)

| Tool                       | Link                                                | 3‑Step Setup                                                                             |
| -------------------------- | --------------------------------------------------- | ---------------------------------------------------------------------------------------- |
| **WFGY 1.0 PDF**           | [Engine Paper](https://zenodo.org/records/15630969) | 1️⃣ Download · 2️⃣ Upload to LLM · 3️⃣ Ask “Answer using WFGY + \<your question>”        |
| **TXT OS (plain‑text OS)** | [TXTOS.txt](https://zenodo.org/records/15788557)    | 1️⃣ Download · 2️⃣ Paste into any LLM chat · 3️⃣ Type “hello world” — OS boots instantly |

---

↩︎ [Back to Problem Index](./README.md)

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