Patent Pending — Bee Tree Holdings LLC

Computation That Discovers Itself

The Universal Constraint Engine defines simple rules. Complex behaviors emerge automatically. No programming required. This is neuromorphic computing reimagined from first principles.

7
Conserved Quantities
18
Constraint Rules
18
Emergent Behaviors
45
Valid States

The Problem

Neuromorphic Computing Is Stuck

Every major neuromorphic chip — Intel Loihi, IBM TrueNorth, BrainChip Akida — requires engineers to explicitly program neuron behavior. The computational properties are designed in, not discovered.

🧠

Pre-Programmed Neurons

Existing chips use fixed neuron models. Engineers must decide what each neuron does before fabrication. The behavior is baked in, not emergent.

💰

Massive Transistor Cost

1,000-2,500 transistors per neuron. A million neurons requires billions of transistors. This limits density and drives up cost.

No Discovery Pipeline

There is no systematic method for finding which constraint configurations produce which computational behaviors. Until now.


The Solution

Define Rules. Discover Behaviors.

UCE inverts the entire paradigm. Instead of designing neurons, you declare constraints. The engine automatically discovers every emergent behavior — memory, logic gates, oscillators, attractors — without writing a single line of behavioral code.

Declare Rules

18 simple constraints

Constraint Engine

State enumeration + propagation

Discover Behaviors

18 emergent properties found

Map to Hardware

FPGA, memristive, spintronic


CSEN Architecture

Seven Quantities. Infinite Potential.

The Constraint-Driven Self-Emergent Neuron is defined by seven binary conserved quantities, each mapping to a biological neural function. Their interactions produce all computational behavior.

EExcitatory Input
IInhibitory Input
TThreshold
FFire
RRefractory
LLeak / Decay
PPotentiation

Constraint Algebra

Three Rule Types. That's It.

The entire computational richness of the CSEN emerges from just three types of constraint rules applied to the seven quantities.

allow_toggle

6 rules — AND conjunction

Defines when a quantity may change. Multiple conditions must ALL be true. Creates the gating network that chains quantities together.

forbid_toggle

8 rules — OR disjunction

Defines when a quantity cannot change. ANY satisfied condition blocks the toggle. Creates inhibitory constraints and safety locks.

forbid_simultaneous

4 rules — mutual exclusion

Eliminates states where two quantities are both active. Creates phase opposition: excitation vs. inhibition, firing vs. refractory.


What Emerges

18 Behaviors. Zero Programming.

When the UCE processes 18 constraint rules over 7 quantities, it automatically discovers 18 distinct emergent computational behaviors across four categories.

7

Memory Elements

All seven quantities retain their value unless specific gating conditions are met. Each acts as an independent binary memory cell — 7 bits of per-neuron memory, no flip-flops required.

6

Logic Gates

A dual-pathway cascade emerges: the excitatory chain L→E→T→F→P and the inhibitory branch L→R→I. Leak (L) is the master control for the entire neuron.

4

Oscillators

Four attractor cycles emerge as oscillatory patterns, including a potentiation oscillator and a sensitization cycle — self-sustaining excitation-learning feedback loops.

1

Attractor Basin

Nine stable equilibrium states form an attractor basin. The neuron settles into predictable resting configurations, providing the foundation for reliable computation.


How We Compare

Not Incremental. Fundamental.

Feature Intel Loihi 2 IBM TrueNorth CSEN (Ours)
Neuron Model Pre-programmed Fixed LIF Emergent from constraints
Transistors/Neuron ~2,300 ~5,400 Target: <100
Per-Neuron Memory Configurable Limited 7 bits intrinsic
Behavior Discovery Manual Manual Automatic pipeline
Learning Rule Programmable STDP External Emergent (potentiation)
Memory Scaling Linear Fixed 3N-1 bits (N neurons)

Intellectual Property

Protected Innovation

Patent applications filed with the United States Patent and Trademark Office, establishing priority dates for the core UCE technology stack.

Patent Pending

Universal Constraint Engine

Application No. 64/036,854

System and method for discovering emergent behaviors from declarative constraint rules over conserved quantities.

Patent Pending

CSEN Neuromorphic Architecture

Application No. 64/039,741

Constraint-driven self-emergent neuron architecture for neuromorphic computing with 7-quantity, 18-rule design.


The Future Computes Itself

Join the early access list. Be the first to experiment with constraint-driven neuromorphic computing.