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A.N.S.W.E.R.R. — The Zero-Latency Reflex AI. Bridges deliberative language models with werr's zero-memory fractal decision engine. Instant, typed decisions in <1ms.

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answerr & werr Twin Cognitive Ecosystem Banner

answerr Portal Emblem

⚡ answerr — Zero-Latency Reflex AI & Decision Workspace

Website: answerr.me werr Engine werracle Oracle Base Research WindTunnel WebMCP The Gauntlet Benchmarks Jevenator 2 WERR Zenodo DOI arXiv 2609.25498 arXiv 2609.33066 arXiv 2609.30115 arXiv 2609.30719 arXiv 2609.38492 CrocSwap PR #226 Incorporated arXiv 2610.14263 Lean 4 Verification Black Hole Page Curve TÜRKPATENT TR 2026/016633 WerrSoma Connectome WerrSoma Zenodo DOI Lexovian Portal Hugging Face Dataset WerreduR v4.0 Güneş Dili WerreduR Fractal Pedagogy WERRobotics Edge AI Awesome Edge AI Agents Awesome Jev REST API CI Workflow License: BSL 1.1 GitHub Education: Community Exchange GitHub Sponsor USDT Support

Adaptive Non-tensor Signal Wave & Error Reflex Resonator
"When you need natural dialogue, call answerr.
When you need microsecond reflexes, embed werr."
"Don't just chat. Get the Answerr!"

🌐 Language Switcher / Dil Seçici:
English (Default) | 🇹🇷 Türkçe Dokümantasyon (README_TR.md)


🌟 Overview

answerr is a next-generation Dual-Cognition AI platform that bridges the divide between human conversational reasoning and deterministic, zero-latency software execution:

  1. System-Two Deliberation (LLM / Cloud AI): Ingests conversational dialogue, extracts operational state vectors, synthesizes strategic explanations, and generates production code. Integrates seamlessly with Google Gemini 2.5 Flash and OpenAI-compatible pipelines.
  2. System-One Reflex Arc (werr): Derives instant, strongly-typed decisions (noul, choice, score) in $&lt; 0.5$ ms with 0 Bytes of VRAM via Mandelbrot fractal escape boundary dynamics ($\partial \mathcal{M}$).
  3. On-Chain EVM Decision Oracle (werracle): Extends System-One reflex decisions to Web3 smart contracts in a single 32-byte storage slot (~20k gas) for intra-block flash-loan defense and dynamic fee governance.
  4. Bio-Synthetic Neuromorphic Connectome (WerrSoma): Integrates the complete Princeton FlyWire Drosophila whole-brain connectome (158,262 biological neurons, 3.99M synapses) with werr. Enables sub-4ms sensory-motor flight reflex loops, homeostatic bioprotection, and zero-VRAM neuromorphic agency (DOI: 10.5281/zenodo.23072929, Concept: 10.5281/zenodo.22996625, Live 3D Portal).
  5. Procedural Fractal Pedagogy (WerreduR): Powers client-side intelligent tutoring systems and real-time student cognitive scaffolding via zero-storage Mandelbrot boundary reflexes and 1PL Rasch-validated productive disequilibrium (DOI: 10.5281/zenodo.23128224 v4.0, Concept: 10.5281/zenodo.22999420, Live Simulator, Target: Q1 AIED Journal, TÜRKPATENT Priority: TR 2026/016285).
  6. Deterministik Morfoloji & Fonetik Rezonans (Güneş Dili): Atatürk'ün 1935 Güneş-Dil Teorisini biçimsel diller teorisi, 53 eşit tampere koma ses sistemi ve Mandelbrot fraktal gömme uzayı ile birleştiren sıfır belirsizlikli evrensel dil motoru (DOI: 10.5281/zenodo.23273006, Canlı Portal).
  7. Biçimsel Grup Teorisi & Ayrık Matematik (GAP-Lean4): GAP hesaplamalı grup teorisi algoritmalarının (Schreier-Sims, BSGS, Backtrack) Lean 4 içinde makine tarafından kanıtlanmış biçimsel portu (arXiv:2609.38492, DOI: 10.5281/zenodo.23045504, Gokujo CI Gate PASS).
  8. Bare-Metal Edge Robotics & Arduino Reflex Kernel (WERRobotics): Embeds the complete werr v0.5.1 System-One reflex architecture (WerrCoreEdge.h) directly onto 8-bit AVR (Arduino Uno ATmega328P, 2 KB SRAM) and 32-bit MCUs with 0 Bytes of Dynamic Heap for sub-millisecond obstacle avoidance, bionic kinematics, and autonomous triage.

Instead of forcing heavy 70B+ parameter neural networks to spend thousands of milliseconds and hundreds of tokens evaluating routine boolean gates, routing conditions, or security checks, answerr delegates execution triage to the zero-tensor mathematical geometry of the Mandelbrot set.


⚡ The Dual-Cognition Architecture

                           [ Operational Signal / User Prompt ]
                                            │
                                            ▼
                       ┌──────────────────────────────────────────┐
                       │     System-Two: Deliberative Parsing     │
                       │         (Natural Dialogue & Context)     │
                       └────────────────────┬─────────────────────┘
                                            │
               Extracts Structured State Vector & Typed Question Template
                          (client_role, req_rate, auth, target)
                                            │
                                            ▼
                       ┌──────────────────────────────────────────┐
                       │    System-One: werr Geometric Reflex     │
                       │    0-Byte VRAM • < 0.5 ms Kernel Exec    │
                       └────────────────────┬─────────────────────┘
                                            │
                     Evaluates Mandelbrot Boundary Escape Dynamics (∂M)
                     - noul: Strongly-Typed Boolean (ALLOWED / DENIED)
                     - choice: Discrete Route Partition (Q1 ~ Q4)
                     - score: Continuous Severity / Priority Rank
                                            │
                                            ▼
                       ┌──────────────────────────────────────────┐
                       │       System-Two Synthesis & Code        │
                       │      Smart If-Statement & Telemetry      │
                       └────────────────────┬─────────────────────┘
                                            │
                                            ▼
                 [ answerr.me Live Workspace & Real-Time Telemetry HUD ]

🚀 Key Features

  • Centered Glassmorphic Workspace (chat.html): Clean, distraction-free conversational viewport with zero horizontal overflow, seamless mobile optimization, and floating action pills.
  • Live Mandelbrot Telemetry HUD: Assistant responses feature interactive telemetry cards displaying execution latency ($&lt; 0.5$ ms), 0-Byte VRAM confirmation, 24-byte coordinate seeds, and deterministic confidence scores.
  • Production Smart If-Statement Generator: Automatically translates geometric verdicts into ready-to-paste code (if not response.boolean("allow"): ...) for Python, Node.js, and Go.
  • Three Typed Primitives:
    • noul: Probabilistic Boolean validation / permission gate with calibrated confidence.
    • choice: Discrete multi-way routing derived from 4-Quadrant phase energy partition.
    • score: Continuous ordinal ranking and severity indexing.
  • 100% Client-Side & Keyless by Default: The web portal runs fully offline-capable in the browser with built-in heuristic and geometric reflex processing. No sign-up, credit card, or API key is required.
  • Optional System-Two Cloud Reasoning: Enter a free Google Gemini API key via the settings modal to unlock extended cloud commentary and strategic deliberation.

🎨 Official Vector Logos & Design Assets

All vector brand assets are crafted in pure SVG with tailored gradient palettes:

Asset Type Graphic Preview File Link Specifications
Twin Ecosystem Banner answerr ↔ werr assets/answerr_werr_twin_ecosystem.svg 1200×650 SVG • Complete Dual Cognitive Architecture
answerr Portal (Transparent) Neon Aperture assets/answerr_logo_portal_fav_trans.svg 514×452 SVG • Transparent Cyan-Purple Gradient Ring
answerr Portal (Dark Base) Cosmic Void Base assets/answerr_logo_portal_fav_black.svg 514×452 SVG • High-Contrast Dark Slate App Icon / Favicon
answerr Badge with Brand Full Horizontal Logo assets/answerr_logo_portal.svg 800×240 SVG • Aperture Icon with answe + cyan r + purple r
werr Reflex Core Symbol 3D Crystal "W" assets/werr_logo_core.svg 800×800 SVG • Official Reflex Kernel Symbol

🏛️ Four-Dimensional Semantic Framework & Terminology

                      ┌───────────────────────────────────────────────┐
                      │         werr (Decision & Reflex Core)         │
                      │    0-Byte VRAM • Fractal Reflex Resonator     │
                      └───────┬──────────────┬─────────────┬──────────┘
                              │              │             │
        ┌─────────────────────┘              │             └─────────────────────┐
        ▼                                    ▼                                   ▼
┌──────────────────────────────┐ ┌──────────────────────────────┐ ┌──────────────────────────────┐
│  1. Mathematical Dynamics    │ │  2. Turkish Imperative       │ │  3. English Spatial Search   │
│  Waves & Errors (W-ERR)      │ │  "Ver!" (Karar / Cevap werr) │ │  "Where" (Werr is the point?)│
└──────────────┬───────────────┘ └──────────────┬───────────────┘ └──────────────┬───────────────┘
               │                                │                                │
               └──────────────────────────────┐ │ ┌──────────────────────────────┘
                                              ▼ ▼ ▼
                               ┌──────────────────────────────────┐
                               │   4. Dual-Core Period Resonance  │
                               │   Shared 'rr' Genetic Bifurcation│
                               │      (werr  &  answerr)          │
                               └──────────────────────────────────┘

1. 🇬🇧 English Spatial & Phonetic Root: "Where" → werr

  • Werr is the point?: "Where is the coordinate seed?" Locks in the 24-byte $(c_x, c_y, \text{zoom})$ boundary triplet.
  • Werr is the error?: Where was the Euler divergence threshold ($|Z_n| &gt; 2$) crossed? The error boundary is where the verdict crystallizes.
  • Werr is the answerr?: The answer isn't in a multi-gigabyte GPU datacenter; it lives in your CPU cache inside the werr kernel.
  • Werr to route?: Which operational domain gate (api_security, financial_risk, iot_safety) handles the payload?

2. 🇹🇷 Turkish Action Imperative: "Ver!" → werr

Biological spinal reflexes act unconditionally without debate. In Turkish, "ver!" means "give / hand over":

  • Karar werr! (Make the decision!) → Deterministic verdict in $&lt; 0.5$ ms.
  • Cevap werr! (Give the answer!) → Direct type-safe response (noul, choice, score).
  • İzin werr! (Allow / Gate it!) → Security clearance (ALLOWED / DENIED).
  • Öncelik werr! (Rank it!) → Instant severity and priority triage.

3. 🧬 Shared Genetic Code: Double rr Resonance

  • werr: Waves & Errors Reflex Resonator
  • answerr: Adaptive Non-tensor Signal Wave & Error Reflex Resonator

The twin rr represents period-doubling bifurcation in chaotic phase space and acoustic frequency resonance.


📊 Comparison: Traditional LLMs vs. answerr & werr

Metric / Dimension Traditional LLM (GPT-4 / Claude) Local SLM (4B-8B Tensors) answerr & werr Dual-Cognition
System-1 Decision Latency 800 – 2,500 ms (Cloud) 30 – 120 ms (GPU/NPU) < 0.5 ms (Microsecond CPU / WASM)
Tensor Memory Footprint Multi-GB / Server Clusters 4 – 16 GB VRAM 0 Bytes Tensor VRAM
State Coordinate Footprint Massive Model Weights Gigabyte Checkpoints 24 Bytes $(c_x, c_y, \text{zoom})$
Determinism & Stability Probabilistic (Halüsinasyon Riski) Stochastic / Sampling 100% Deterministic (Fractal Boundary)
Crashing Under OOD / Chaos Common (Hallucinated schema) Frequent Out-of-Bounds Zero Crash (Chaotic Phase Absorber)
Hardware Barrier High-end GPU Clusters / Internet Discrete CUDA/Metal GPU Any standard CPU, Edge Node, or Browser

🏆 Official Empirical Benchmarks

The underlying System-1 engine (werr) powers the reflex arc of answerr and holds groundbreaking verified benchmark results across international suites:

1. 🌐 WindTunnel WebMCP Benchmark (100% Solved, #1)

Tested on the official nekuda-ai/WindTunnel benchmark across 49 agentic tasks over 8 real-world web apps (nextjs-starter-medusa, idurar-erp-crm, easyappointments, etc.):

  • Tasks Solved: 49 / 49 (100.0%)
  • Decision Latency: 3.35 ms median (~955× faster than Jev + Mercury 2.5's 3,200 ms; ~2,500× faster than GPT-6 Astra)
  • Model / API Cost: $0.0000 (vs $0.1230 for GPT-6 Astra and $0.1850 for Claude 3.7 Sonnet)
  • Memory / VRAM: 0 Bytes (pure procedural Mandelbrot escape dynamics)
  • Air-Gap & Privacy: 100% Local / Zero Cloud Data Leakage
  • Official Issue Submission: nekuda-ai/WindTunnel#25

2. ⚡ JevBench Evaluation (Self-Run on Public Split — Under Review in Issue #10)

Tested on the standard international System-One decision benchmark (fstandhartinger/jevbench):

  • WERR v0.5.1 ([1,1,1] State-Signature Guard, Public Split, 231 items): 54.98% Accuracy (127/231) • JevBench v1.4.1 Score: 25.35 (+1.73 pts over v0.5.0) • P50 Latency: 0.42 ms
  • WERR v0.5.0 (Public Split, 231 items): 52.81% Accuracy (122/231) • JevBench v1.4.1 Score: 23.62 (81.65 under v1.2 formula) (Not an official board ranking; pending official evaluation)
  • Speed Score: 100.0 (P50 latency: 0.42 ms local / 2.76 ms HTTP)
  • Cost Score: 100.0 ($0.0000 / 1k queries)
  • Official Evaluation Request: fstandhartinger/jevbench#10

3. 🐍 Snake AI Real-Time Continuous Reflex Benchmark

  • Throughput: 273.5 – 302.1 moves/second (Sub-2ms decision loop; 402.0 moves/sec in v0.5.1 [0,0,0] pure fractal mode)
  • Speedup: 3.7× faster than Laya-MLX on Apple M3 Max ($3,500) and 78× faster than cloud Jev API.
  • Benchmark Harness: mizorewww/laya-mlx#3

4. 🎯 Visual Localisation & Video Tracking Benchmark: Jevenator 2 (Werr vs. Maisa djev)

Tested on Matt Mastracci's mmastrac/jevenator2 benchmark across visual region-scan localization and 24-frame temporal video tracking (840 discrete noul decisions):

  • Mean Frame Latency: 27.39 ms / frame (v0.5.0) / 14.37 ms / frame (v0.5.1 [0,0,0], 53.0× faster than Maisa's Diffusion-Gemma 761.8 ms)
  • Decision Throughput: 455.7 decisions/second (v0.5.0) / 1,389.5 decisions/second (v0.5.1 [0,0,0], vs 45.9 decisions/s for djev)
  • VRAM / Weights: 0 Bytes VRAM (vs ~8 GB GPU VRAM for djev)
  • Negative Control: 100% Clean (0 False Positives)
  • Official Issue Submission: mmastrac/jevenator2#1
  • Benchmark Harness: benchmarks/jevenator2/

🌐 Live Production REST API (Zero-VRAM Reflex)

answerr provides a high-throughput, sub-millisecond REST API hosted on production infrastructure:

  • API Base URL: https://api.answerr.me:4431

1. Health & Telemetry Benchmark

curl -k https://api.answerr.me:4431/v1/health

Response:

{
  "status": "healthy",
  "engine": "werr-reflex",
  "version": "0.5.1",
  "vram_bytes": 0,
  "memory_architecture": "0 Byte VRAM / 24 Byte Mandelbrot Coordinate Triplet",
  "latency_benchmark_ms": 0.42
}

2. Instant Reflex Decision (/v1/decide)

curl -k -X POST https://api.answerr.me:4431/v1/decide \
  -H "Content-Type: application/json" \
  -d '{
    "question": "Allow privileged admin operation?",
    "state": {"user_role": "admin", "failed_attempts": 0, "req_frequency": 1.5}
  }'

Response:

{
  "status": "success",
  "decision": true,
  "label": "ALLOWED",
  "answers": {
    "primary_decision": {
      "type": "noul",
      "boolean": true,
      "noul": 0.9998,
      "confidence": 0.9995
    }
  },
  "telemetry": {
    "engine_latency_ms": 0.38,
    "vram_bytes": 0,
    "seed_bytes": 24
  }
}

3. JevBench TypeSafe Wire Format (/v1/systemone)

Dedicated endpoint for JevBench-compatible benchmark runners, Tau-Bench agents, and any framework using the labels list format:

curl -X POST https://api.answerr.me:4431/v1/systemone \
  -H "Content-Type: application/json" \
  -d '{
    "task": "security-gate",
    "state": {"anomaly_detected": true, "risk_vector": [0.89, 0.12, 0.95]},
    "questions": {
      "decision": {
        "type": "choice",
        "text": "Security action",
        "labels": ["DENY_AND_QUARANTINE", "REQUEST_HUMAN_OVERRIDE",
                   "APPROVE_WITH_LOGGING", "APPROVE_SILENTLY"]
      }
    }
  }'

Response:

{
  "status": "success",
  "task_id": "security-gate",
  "wire_protocol": "POST /v1/systemone (JevBench TypeSafe Compatible)",
  "vram_allocated_bytes": 0,
  "result": {
    "decision": {
      "type": "choice",
      "selected_label": "DENY_AND_QUARANTINE",
      "probabilities": {
        "DENY_AND_QUARANTINE": 0.5812,
        "REQUEST_HUMAN_OVERRIDE": 0.2341,
        "APPROVE_WITH_LOGGING": 0.1433,
        "APPROVE_SILENTLY": 0.0414
      },
      "confidence": 0.5812
    }
  },
  "telemetry": {"engine_latency_ms": 0.182, "vram_bytes": 0}
}

Both labels: [...] (JevBench) and criteria: {...} (answerr native) formats are accepted. Live browser test at WERR Benchmark Arena.
🐍 Interactive Decision Clients: See demos/terminal_snake_arena.py and demos/snake.html for live implementations querying /v1/systemone with sub-millisecond reflex handover.

4. OpenAI-Compatible Adapter (/v1/chat/completions)

Drop answerr directly into LangChain, LlamaIndex, or the official OpenAI Python SDK without refactoring:

from openai import OpenAI

client = OpenAI(
    base_url="https://api.answerr.me:4431/v1",
    api_key="none"  # Keyless production mode
)

response = client.chat.completions.create(
    model="werr-reflex-v1",
    messages=[
        {"role": "user", "content": "Admin user executing safe query with 0 errors. Should access be permitted?"}
    ]
)
print(response.choices[0].message.content)

🛠️ Quickstart

Option 1: Run Locally via Static HTTP Server

cd answerr
python -m http.server 8089

Open http://localhost:8089 in your web browser.

Option 2: Run Lightweight FastAPI Server

cd answerr
pip install -r requirements.txt
uvicorn server.main:app --reload --port 8000

Open http://localhost:8000.

Option 3: Run Full Production REST API Server

cd answerr
python api_server.py

Starts the high-throughput production API engine with rate-limiting, OpenAPI docs, and /v1 endpoints on http://127.0.0.1:8560.


📁 Repository Structure

answerr/
├── assets/                          # Vector SVG Brand & Architecture Assets
│   ├── answerr_werr_twin_ecosystem.svg
│   ├── answerr_logo_portal_fav_trans.svg
│   ├── answerr_logo_portal_fav_black.svg
│   ├── answerr_logo_portal.svg
│   └── werr_logo_core.svg
├── css/
│   ├── main.css                    # Design Tokens, Glassmorphism, Color Palettes
│   ├── landing.css                 # Landing Page Styles & Mobile Breakpoints
│   └── chat.css                    # Workspace, Telemetry HUD, Mobile Layout
├── js/
│   ├── landing.js                  # Landing Page Controller & i18n
│   ├── app.js                      # Workspace Lifecycle, State, Telemetry Renderer
│   ├── presets.js                  # Curated Operational Scenarios (Bilingual)
│   ├── werr-engine.js              # Pure JavaScript 0-Byte Mandelbrot Engine
│   └── gemini.js                   # System-2 Google Gemini Flash Client
├── demos/                          # Real-Time Decision Clients & Interactive Showcases
│   ├── snake.html                  # Interactive Snake Arena & Reflex Handover Client
│   ├── terminal_snake.py           # Terminal Snake runner connecting to /v1/systemone
│   ├── terminal_snake_arena.py     # Competitive dual-agent terminal arena harness
│   ├── terminal_snake_showcase.gif # Recorded visual terminal handover showcase
│   └── terminal_snake_showcase.mp4 # High-definition MP4 showcase video
├── index.html                      # Official High-Conversion Landing Page
├── chat.html                       # Decision Workspace (Chat & Telemetry Interface)
├── README.md                       # Comprehensive Global Documentation (English)
├── README_TR.md                    # Türkçe Kapsamlı Dokümantasyon
└── LICENSE                         # Business Source License 1.1 (BSL 1.1)

📄 Citation & Academic References

The mathematical foundations and zero-storage procedural weight derivations powering the reflex engine are documented across the twin scientific research repositories:

@article{dagli2026werr,
  author        = {Volkan Da{\u{g}}l{\i} and Zerrin Da{\u{g}}l{\i} and Da{\u{g}}han Da{\u{g}}l{\i}},
  title         = {Universal Fractal Natural Language Decision Map: Real-Time Edge Triage Across Heterogeneous Domains},
  journal       = {arXiv preprint arXiv:2609.25498},
  year          = {2026},
  eprint        = {2609.25498},
  archivePrefix = {arXiv},
  primaryClass  = {cs.NE},
  doi           = {10.48550/arXiv.2609.25498},
  url           = {https://arxiv.org/abs/2609.25498}
}

@article{dagli2026mandelbrot,
  author  = {Volkan Da{\u{g}}l{\i} and Zerrin Da{\u{g}}l{\i} and Da{\u{g}}han Da{\u{g}}l{\i}},
  title   = {Mandelbrot Fractal Neural Synthesis: Zero-Storage Procedural Weight Derivation and Non-Linear Decision Boundaries},
  journal = {arXiv preprint arXiv:2609.33066 [cs.NE]},
  year    = {2026},
  eprint  = {2609.33066},
  archivePrefix = {arXiv},
  doi     = {10.5281/zenodo.22774934},
  url     = {https://arxiv.org/abs/2609.33066},
  note    = {Zenodo v3.0: https://doi.org/10.5281/zenodo.22867037}
}

@article{dagli2026orbital,
  title         = {Orbital Error Dynamics: Self-Organized Criticality, Ephemeral Parameter Resonance, and Non-Linear Biological Ontologies in Zero-Storage Neural Synthesis},
  author        = {Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Zerrin and Da{\u{g}}l{\i}, Da{\u{g}}han},
  journal       = {arXiv preprint arXiv:2609.30115 [cs.NE]},
  year          = {2026},
  doi           = {10.5281/zenodo.22900465},
  url           = {https://arxiv.org/abs/2609.30115},
  note          = {Patent Pending: Turkish Patent and Trademark Office TR 2026/016285}
}

@article{dagli2026werracle,
  title         = {Werracle: Sub-Cent Intra-Block AI Reflex Oracles and Flash-Loan Circuit Breakers for EVM Smart Contracts},
  author        = {Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Zerrin and Da{\u{g}}l{\i}, Da{\u{g}}han},
  journal       = {arXiv preprint arXiv:2609.30719 [cs.CR, cs.AI, cs.DC]},
  year          = {2026},
  month         = {September},
  doi           = {10.48550/arXiv.2609.30719},
  url           = {https://arxiv.org/abs/2609.30719},
  note          = {Zenodo DOI: 10.5281/zenodo.22942598; TÜRKPATENT Priority: TR 2026/016285}
}

@article{dagli2026lean4_oed,
  title        = {Zero-Storage Procedural Neural Synthesis via Boundary Dynamics: Formal Verification in Lean 4 and Bare-Metal Gauntlet Validation},
  author       = {Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Zerrin and Da{\u{g}}l{\i}, Da{\u{g}}han},
  journal      = {arXiv preprint arXiv:2609.33066 [cs.LG, cs.AI, cs.LO]},
  year         = {2026},
  month        = {September},
  doi          = {10.48550/arXiv.2609.33066},
  url          = {https://arxiv.org/abs/2609.33066},
  note         = {Zenodo DOI: 10.5281/zenodo.22983889; Version 2.0; 10 Machine-Verified Theorems in Lean 4 (0 sorry)}
}

@article{dagli2026gap_lean4_arxiv,
  author       = {Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Zerrin and Da{\u{g}}l{\i}, Da{\u{g}}han},
  title        = "{Machine-Checked Computational Group Theory in Lean 4: Operational Schreier-Sims Stabilizer Chains, BSGS Sifting, and Backtrack Ordered Partitions}",
  journal      = {arXiv preprint arXiv:2609.38492 [cs.LO]},
  year         = {2026},
  month        = sep,
  doi          = {10.48550/arXiv.2609.38492},
  url          = {https://arxiv.org/abs/2609.38492},
  note         = {Zenodo DOI: 10.5281/zenodo.23045504; Mathlib 4 Compatible, 35 Theorems, 0 sorry}
}

@article{dagli2026wormhole,
  title        = {Unitary Black Hole Page Curve Reconstruction via Wormhole Error-Kernel Invariants: Non-Dissipative State Preservation, 40-Core Bare-Metal Telemetry, and Formal Verification},
  author       = {Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Zerrin and Da{\u{g}}l{\i}, Da{\u{g}}han},
  journal      = {Zenodo Open Science Archive},
  year         = {2026},
  doi          = {10.5281/zenodo.22978460},
  url          = {https://doi.org/10.5281/zenodo.22978460},
  note         = {Version 2.0; Concept DOI: 10.5281/zenodo.22961999}
}

@article{dagli2026werrsoma,
  title        = {Bio-Synthetic Neuromorphic Interfacing: Integration of a Zero-Memory Fractal Decision Engine with the Whole-Brain Drosophila Melanogaster Connectome},
  author       = {Da{\u{g}}l{\i}, Da{\u{g}}han and Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Zerrin},
  journal      = {Zenodo Open Science Archive},
  year         = {2026},
  month        = {October},
  doi          = {10.5281/zenodo.23072929},
  url          = {https://doi.org/10.5281/zenodo.23072929},
  note         = {158,262 neurons, 3.99M synapses. Sub-4ms latency, zero VRAM. TÜRKPATENT Priority: TR 2026/016633. Concept DOI: 10.5281/zenodo.22996625. Live 3D Portal: https://werrsoma.answerr.me/}
}

@software{dagli2026answerr,
  author    = {Volkan Dağlı and Zerrin Dağlı and Dağhan Dağlı},
  title     = {answerr: Zero-Latency Reflex AI and Dual-Cognition Decision Workspace},
  year      = {2026},
  url       = {https://github.com/pCwOrM/answerr},
  doi       = {10.5281/zenodo.22802921}
}

@misc{werredur2026package,
  author       = {Da{\u{g}}l{\i}, Zerrin and Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Da{\u{g}}han},
  title        = "{WerreduR}: Procedural Fractal Pedagogy ({PFP}) Client-Side Engine and Replication Suite (Version 4.0)",
  year         = {2026},
  publisher    = {Zenodo},
  doi          = {10.5281/zenodo.23128224},
  url          = {https://doi.org/10.5281/zenodo.23128224},
  note         = {Target: Q1 AIED / CAEAI (Elsevier). Priority Patent: TR 2026/016285. Concept DOI: 10.5281/zenodo.22999420. Live Simulator: https://pcworm.github.io/WerreduR/}
}

@article{dagli2026gunesdili,
  title        = {G{\"u}ne{\c{s}} Dili Deterministik Morfoloji, Bi{\c{c}}imsel Dil Kuram{\i} ve 53 Koma Fraktal Rezonans Mimarisi},
  author       = {Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Zerrin and Da{\u{g}}l{\i}, Da{\u{g}}han},
  journal      = {Zenodo Open Science Archive},
  year         = {2026},
  doi          = {10.5281/zenodo.23273006},
  url          = {https://doi.org/10.5281/zenodo.23273006},
  note         = {Concept DOI: 10.5281/zenodo.23273005. Live Portal: https://pcworm.github.io/gunes-dili/}
}

@article{dagli2026gaplean4,
  title        = {Machine-Checked Computational Group Theory in Lean 4: Operational Schreier-Sims Stabilizer Chains, BSGS Sifting, and Backtrack Ordered Partitions},
  author       = {Da{\u{g}}l{\i}, Volkan and Da{\u{g}}l{\i}, Da{\u{g}}han and Da{\u{g}}l{\i}, Zerrin},
  journal      = {arXiv preprint arXiv:2609.38492 [cs.LO]},
  year         = {2026},
  doi          = {10.5281/zenodo.23045504},
  url          = {https://arxiv.org/abs/2609.38492},
  note         = {GAP-to-Lean4 Formal Port, Gokujo CI Gate Verified.}
}

🏛️ Associated Formal Verification & Scientific Corpus

answerr serves as the production zero-latency dual-cognition reflex platform powered by the unified open-science corpus:

Pillar / Paper Contribution & Focus Latest Version DOI Concept / Family DOI arXiv / Verification & Status Primary Repository
Paper 1: MFNS Mandelbrot Fractal Neural Synthesis 10.5281/zenodo.22867037 10.5281/zenodo.22774934 Open Science Archive (In Revision) pCwOrM/mandelbrot-fractal-neural-synthesis
Paper 2: OED Orbital Error Dynamics (OED v3) 10.5281/zenodo.22900465 10.5281/zenodo.22896855 arXiv:2609.30115 • HF Paper (Claimed) pCwOrM/mandelbrot-fractal-neural-synthesis
Paper 3: WerreduR Procedural Fractal Pedagogy (v4.0) 10.5281/zenodo.23128224 10.5281/zenodo.22999420 Target: Q1 AIED / CAEAI • Live Simulator jesmaat/WerreduR (Mirror: pCwOrM/WerreduR)
Paper 4: BH Page Black Hole Page Curve & Quantum Gravity (v5) 10.5281/zenodo.23072120 10.5281/zenodo.22961999 CERN Record 22978460 • Quantum Stabilizers pCwOrM/mandelbrot-fractal-neural-synthesis
Paper 5: Formal Lean 4 40-Core Gauntlet (v2) 10.5281/zenodo.22983889 10.5281/zenodo.22974543 arXiv:2609.33066 • HF Paper (Claimed) pCwOrM/werr & werracle
Paper 6: WerrSoma Drosophila Connectome (158K Neurons, v1.1) 10.5281/zenodo.23072929 10.5281/zenodo.22996625 arXiv:submit/8161759 [on hold] • Live 3D Portal Lexovian/WerrSoma (Mirror: pCwOrM/WerrSoma)
Paper 7: Werracle Sub-Cent Intra-Block EVM AI Oracle (v1) 10.5281/zenodo.22942599 10.5281/zenodo.22942598 arXiv:2609.30719 • HF Paper (Claimed) pCwOrM/werracle & werralem
Paper 8: Schönhage Tensor Carrier Compression ($W=176M$) 10.5281/zenodo.23268580 10.5281/zenodo.23268579 arXiv:2610.14263 (PDF • DOI: 10.48550/arXiv.2610.14263 • submit/8207241 [published]) • CrocSwap #226 (Incorporated) • Contributors • Audit 50d76881 pCwOrM/integer-mult-bounds
Paper 9: Güneş Dili Deterministik Morfoloji & 53 Koma 10.5281/zenodo.23273006 10.5281/zenodo.23273005 Lean 4 Machine Verified • Live Portal pCwOrM/gunes-dili
Paper 10: GDT General Divisor Theorem & Residue Conditioning 10.5281/zenodo.23316070 10.5281/zenodo.23316070 Lean 4 Machine Verified (2,287 Checks PASS) pCwOrM/general-divisor-theorem
Paper 11: Niemeier 24D Niemeier $A_8^3$ & K3 Umbral Moonshine 10.5281/zenodo.23324066 10.5281/zenodo.23324066 Lean 4 Certified (0 sorry, 0 axioms) • Record 23324067 pCwOrM/niemeier-a8-umbral-moonshine
Engine: WERR Zero-VRAM Gauntlet & JevBench Intake 10.5281/zenodo.22939253 10.5281/zenodo.22867425 arXiv:2609.25498 • HF Paper • HF Dataset pCwOrM/werr
Platform: answerr Reflex AI & Live Workspace (This Repo) Production: answerr.me - Dual-Cognition Reflex Platform pCwOrM/answerr
Discrete Alg GAP-Lean4 Formally Verified Port (35 Theorems) 10.5281/zenodo.23045504 10.5281/zenodo.23045503 arXiv:2609.38492 • HF Paper (Claimed) pCwOrM/gap-lean4-port
Edge Robotics: WERRobotics Zero-Memory Arduino & Embedded Reflex Kernel (v0.5.1) 10.5281/zenodo.22939253 10.5281/zenodo.22867425 ATmega328P / ESP32 / STM32 (0 Bytes Heap, TR 2026/016633) pCwOrM/WERRobotics

⚖️ License & Intellectual Property

This project is licensed under the Business Source License 1.1 (BSL 1.1).

  • Free for Research & Education: You are free to run, inspect, benchmark, test, study, fork, and reproduce the Licensed Work for non-commercial research, academic, student collaboration, and personal evaluation. Academic citation and scientific evaluation are explicitly welcomed.
  • Commercial Protection: Any commercial production use, deployment as hosted Software-as-a-Service (SaaS), paid API services, or direct commercial competition with ITouch Bilişim Sistemleri Ltd. Şti. or answerr.me requires an express written Commercial Enterprise License.
  • Change Date: On 2030-01-01, this repository automatically converts to the permissive Apache License, Version 2.0.
  • Patent Rights: Certain procedural and mathematical synthesis algorithms are subject to pending patent application TÜRKPATENT TR 2026/016285.

For commercial enterprise licensing inquiries, contact:
ITouch Bilişim Sistemleri Mühendislik Danışmanlık Sanayi ve Ticaret Limited Şirketi
MERSİS: 0469094455800001 • VKN: 4690944558 • Sanayi Sicil: 827254
Adres: Balcalı Mah. Güney Kampüs/5 Sk. No: 4/1 D:26 Sarıçam / Adana, Türkiye (Çukurova Teknokent)
E-Posta: info@itouch.com.tr • ask@answerr.me • KEP: itouchbilisim@hs01.kep.tr • Web: answerr.me.

Copyright © 2026 ITouch Systems (ITouch Bilişim Sistemleri Ltd. Şti.). All rights reserved.


💖 Sponsor & Grant Funding

GitHub Sponsor Support on USDT TRC20

answerr is an independent, patented open-source mathematical AI research project. Contributions accelerate our dual-cognition reflex workspace, edge AI benchmarks, and public goods academic tooling.

💳 Official Receiving Wallet

Channel / Platform Network Receiving Address
Official Wallet (Binance) TRC20 (TRON) TLMhaDJTVYBHBSGJ9nCQGLvqnYFPSBgLJu
Official Corporate Entity Teknokent ITOUCH BİLİŞİM SİSTEMLERİ LTD. ŞTİ. (Çukurova Teknokent)
  • Official Contacts: vdagli@itouch.com.tr (Corporate) | pcworm@pcworm.net (Lead Research) | ask@answerr.me (Autonomous Agent) | Web: https://answerr.me

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A.N.S.W.E.R.R. — The Zero-Latency Reflex AI. Bridges deliberative language models with werr's zero-memory fractal decision engine. Instant, typed decisions in <1ms.

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