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---
title: Neuromorphic Molecular Constraint Solver
emoji: 🧬
colorFrom: blue
colorTo: green
sdk: streamlit
sdk_version: 1.27.2
app_file: app.py
pinned: false
license: mit
---
# 🧬 Neuromorphic Molecular Constraint Solver
**An experimental system that generates molecular graphs by solving massive Boolean SAT problems with phase oscillators.**
---
## 🎯 What This Demo Does
You set chemical constraints (aromatic rings, molecular weight, forbidden groups) β†’ System encodes them as a 40,000-clause 3-SAT problem β†’ Neuromorphic solver finds a solution β†’ You get a molecular graph.
**Result:** 99%+ constraint satisfaction, but the molecules are... *weird*.
---
## ⚑ Quick Start
### 1. Set Constraints (Sidebar)
- **Aromatic Rings:** 0-5
- **Max Molecular Weight:** 200-700 Da
- **⚠️ Min Atoms: SET TO 10-15** (or you'll get single atoms)
- **Forbidden Groups:** nitro, azide, peroxide
### 2. Click "Generate Molecules"
Wait ~30 seconds (encoding + solving is slow)
### 3. View Results
- **Satisfaction:** 99%+ means solver succeeded
- **Graph View:** Shows atom connectivity
- **Details:** Raw atom/bond data in JSON
---
## ⚠️ Important Disclaimers
### This Is NOT a Drug Discovery Tool
The outputs look like this:
- **Molecule 1:** Single nitrogen atom (N)
- **Molecule 2:** Sulfur-fluorine triangle (S-F-F)
- **Molecule 3:** A connected graph of 15 carbons that satisfies your constraints but looks nothing like a real molecule
**Why?** SAT solvers don't "know" chemistryβ€”they only know Boolean logic.
### What's Actually Happening
1. **Encoding:** Chemical rules β†’ ~40,000 Boolean clauses
- "Carbon needs 4 bonds" β†’ dozens of clauses
- "Molecule must be connected" β†’ graph connectivity clauses
- "MW < 500" β†’ threshold comparison clauses
2. **Solving:** Phase oscillators find a satisfying assignment
- Not traditional search (DPLL/CDCL)
- Uses Kuramoto dynamics + Hebbian learning
- Relaxes into stable states
3. **Decoding:** Boolean assignment β†’ molecular graph
- Variables map to atoms/bonds
- Graph is *valid* (mathematically)
- But not necessarily *realistic* (chemically)
---
## πŸ€” What's Interesting About This
### βœ… What Works
- **High satisfaction rates:** 99%+ on 40,000-clause problems
- **Constraint composition:** Add new rules without retraining
- **Neuromorphic:** Could run on Intel Loihi at 1mW
- **No training data:** Pure logical constraint satisfaction
### ❌ What Doesn't
- **Chemical realism:** Outputs are graphs, not molecules
- **Trivial solutions:** Single atoms count as "molecules"
- **Speed:** 30s per molecule (encoding is slow)
- **Bond orders:** No single/double/triple distinction
---
## πŸ”¬ Technical Details
### Problem Size
For a 30-atom molecule with full constraints:
- **Variables:** ~15,000
- **Clauses:** ~40,000
- **Encoding time:** ~5 seconds
- **Solving time:** ~25 seconds
### Solver Algorithm
```python
# Simplified
for step in range(300):
# Drive unsatisfied clauses
stamp_variables_toward_satisfaction()
# Kuramoto coupling
couple_phase_oscillators()
# Hebbian growth/pruning
strengthen_coherent_connections()
prune_weak_connections()
```
It's a **gradient-free, heuristic** method inspired by cortical dynamics.
---
## 🎨 Use Cases
### βœ… What This IS Good For
1. **SAT Solver Benchmarking**
- Test on large constraint problems
- Compare neuromorphic vs. traditional solvers
2. **Constraint-Based Graph Generation**
- Generate connected graphs with properties
- Educational tool for SAT encoding
3. **Neuromorphic Computing Demo**
- Show phase-based computation
- Demonstrate sparse solver scaling
### ❌ What This Is NOT Good For
1. **Drug Discovery** (molecules are weird)
2. **Chemical Synthesis** (graphs β‰  real molecules)
3. **Production Systems** (too slow, too experimental)
---
## πŸ“Š Example Results
### Constraint Set:
```
aromatic_rings == 3
molecular_weight < 500
min_atoms >= 15
NOT nitro
NOT azide
synthesizable
```
### Output (Molecule 1):
```
Satisfaction: 99.8%
Atoms: 18
Bonds: 22
Aromatic rings: 3 βœ…
MW: 450 Da βœ…
Forbidden groups: None βœ…
Graph:
00:C β†’ 1, 5, 17
01:C β†’ 0, 2, 6
02:N β†’ 1, 3
...
```
**Interpretation:**
- Satisfies all constraints βœ…
- Forms a connected graph βœ…
- Looks chemically plausible... *if you squint* 🀨
---
## πŸŽ“ Educational Value
### What You Can Learn
1. **How to encode chemistry as SAT**
- Valence rules β†’ cardinality constraints
- Connectivity β†’ graph reachability
- Properties β†’ threshold comparisons
2. **Neuromorphic computing principles**
- Phase oscillators for optimization
- Hebbian learning for structure
- Sparse representations for scaling
3. **Limits of pure logic**
- Why neural nets exist (learn distributions)
- Why constraints alone aren't enough
- The gap between "valid" and "realistic"
---
## πŸš€ Try It Yourself
### Experiment 1: Trivial Solutions
Set `min_atoms = 1` and see what happens.
**Result:** Single atoms everywhere.
**Lesson:** Constraints must be explicit.
### Experiment 2: Conflict Resolution
Set conflicting constraints:
```
aromatic_rings == 5
molecular_weight < 200 # Impossible!
```
**Result:** ~85% satisfaction (solver gives up on impossible clauses)
**Lesson:** Heuristic solvers "satisfice" instead of failing.
### Experiment 3: Extreme Constraints
Set 10+ constraints and watch the solver work.
**Result:** Takes longer, but still finds 95%+ solutions.
**Lesson:** Neuromorphic scaling is decent.
## πŸ™ Credits
**Inspired by:**
- P-KAS (Phase-Keyed Associative Storage)
- Kuramoto model of synchronization
- Dendritic computation
**Built with:**
- Python, NumPy, Streamlit
- RDKit (for visualization attempts)
---
## βš–οΈ License & Disclaimer
**License:** MIT
**Warranty:** None
**Chemical Validity:** Questionable
**Should You Synthesize These?** Absolutely not
**Status:** Research prototype / Educational tool / "Interesting Failure"β„’
---
## πŸ’¬ Feedback
Found a bug? (There are many.)
Have ideas? (Please share.)
Confused why molecules are weird? (Join the club.)
*"It's not a bug, it's an undiscovered feature in Boolean constraint satisfaction."*
β€” The developers, probably