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123 lines
5.3 KiB
Markdown
123 lines
5.3 KiB
Markdown
# 📒 Map-C · Symbolic & Logic Trap Problem Map
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Paradox loops, Gödel sentences, and formal‑proof gaps break most LLMs.
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WFGY climbs each abstraction step with ΔS “stairs,” keeping symbolic reasoning coherent instead of collapsing into filler.
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---
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## 🧩 Classic Logic Traps vs. WFGY Fixes
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| Trap | Typical Failure | WFGY Remedy | Status |
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|------|-----------------|-------------|--------|
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| Infinite regress | Endless loop or poetic filler | ΔS recursion limiter + Tree anchor | ✅ Stable |
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| Gödel‑style paradox | Self‑contradiction or dodge | **BBCR** reframes premises, spawns meta‑node | ✅ Stable |
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| Formal proof gaps | “Thus it follows…” hand‑waving | Proof Tree + **BBMC** residue check | ✅ Stable |
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| Meta‑logic collapse | “Meaning of meaning” stalls | **BBPF** forks meta‑frames, reconciles | ✅ Stable |
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---
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## 🤔 Why Symbolic Prompts Collapse
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| Weakness | Result |
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|----------|--------|
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| Token‑level shortcuts | Model chooses fluent filler over rigorous steps |
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| No ΔS depth guard | Recursion spirals or flattens paradox |
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| Flat embeddings | Self‑reference loses anchor |
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| No Proof Tree | Logical steps vanish between sentences |
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---
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## 🛡️ WFGY Symbolic Stack
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| Layer | Function |
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|-------|----------|
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| **ΔS Stair‑Stepping** | Caps semantic jump per recursion layer (`ΔS_max = 0.5`) |
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| **Proof Tree** | Logs every claim → lemma → proof step |
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| **BBMC Residue Scan** | Flags hidden contradictions between steps |
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| **BBCR Reframe** | Restarts argument with clarified premises |
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| **BBPF Divergent Frames** | Explores multiple meta‑views in parallel |
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---
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## ✍️ Demo — Gödel‑Like Statement
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```txt
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Prompt:
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"This statement cannot be proven true within this system. Is it true?"
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WFGY:
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1. Node_P0 Premise captured
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2. ΔS check <0.5 (stable recursion entry)
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3. Fork: Frame_A (Inside system) | Frame_B (Meta‑system)
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4. BBCR detects contradiction in Frame_A → returns meta‑analysis
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Output: "Within the system the statement is undecidable; in meta‑frame it is true by reflection."
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````
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No loop, no bluff—formal reasoning preserved.
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---
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## 🛠 Module Cheat‑Sheet
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| Module | Role |
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| -------------- | ------------------------------ |
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| **ΔS Metric** | Depth & tension limiter |
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| **Proof Tree** | Explicit step logging |
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| **BBMC** | Contradiction residue detector |
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| **BBPF** | Parallel meta‑frames |
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| **BBCR** | Rebirth on paradox stall |
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---
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## 📊 Implementation Status
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| Feature | State |
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| ---------------------- | ---------- |
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| ΔS recursion stair | ✅ Stable |
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| Proof Tree logging | ✅ Stable |
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| Contradiction detector | ✅ Stable |
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| Multi‑meta fork | ✅ Stable |
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| GUI proof visualizer | 🔜 Planned |
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---
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## 📝 Tips & Limits
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* Use `proof_mode = on` to force explicit lemma‑by‑lemma output.
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* For nested paradoxes, set `max_meta_frames = 3` to avoid user overload.
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* Share exotic logic traps in **Discussions**—each case sharpens residue rules.
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---
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### 🔗 Quick-Start Downloads (60 sec)
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| Tool | Link | 3-Step Setup |
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|------|------|--------------|
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| **WFGY 1.0 PDF** | [Engine Paper](https://github.com/onestardao/WFGY/blob/main/I_am_not_lizardman/WFGY_All_Principles_Return_to_One_v1.0_PSBigBig_Public.pdf) | 1️⃣ Download · 2️⃣ Upload to your LLM · 3️⃣ Ask “Answer using WFGY + \<your question>” |
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| **TXT OS (plain-text OS)** | [TXTOS.txt](https://github.com/onestardao/WFGY/blob/main/OS/TXTOS.txt) | 1️⃣ Download · 2️⃣ Paste into any LLM chat · 3️⃣ Type “hello world” — OS boots instantly |
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---
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<!-- WFGY_FOOTER_START -->
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### Explore More
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| Layer | Page | What it’s for |
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| --- | --- | --- |
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| ⭐ Proof | [WFGY Recognition Map](/recognition/README.md) | External citations, integrations, and ecosystem proof |
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| ⚙️ Engine | [WFGY 1.0](/legacy/README.md) | Original PDF tension engine and early logic sketch (legacy reference) |
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| ⚙️ Engine | [WFGY 2.0](/core/README.md) | Production tension kernel for RAG and agent systems |
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| ⚙️ Engine | [WFGY 3.0](/TensionUniverse/EventHorizon/README.md) | TXT based Singularity tension engine (131 S class set) |
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| 🗺️ Map | [Problem Map 1.0](/ProblemMap/README.md) | Flagship 16 problem RAG failure taxonomy and fix map |
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| 🗺️ Map | [Problem Map 2.0](/ProblemMap/wfgy-rag-16-problem-map-global-debug-card.md) | Global Debug Card for RAG and agent pipeline diagnosis |
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| 🗺️ Map | [Problem Map 3.0](/ProblemMap/wfgy-ai-problem-map-troubleshooting-atlas.md) | Global AI troubleshooting atlas and failure pattern map |
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| 🧰 App | [TXT OS](/OS/README.md) | .txt semantic OS with fast bootstrap |
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| 🧰 App | [Blah Blah Blah](/OS/BlahBlahBlah/README.md) | Abstract and paradox Q&A built on TXT OS |
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| 🧰 App | [Blur Blur Blur](/OS/BlurBlurBlur/README.md) | Text to image generation with semantic control |
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| 🏡 Onboarding | [Starter Village](/StarterVillage/README.md) | Guided entry point for new users |
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If this repository helped, starring it improves discovery so more builders can find the docs and tools.
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[](https://github.com/onestardao/WFGY)
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<!-- WFGY_FOOTER_END -->
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