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BRIK-64

Digital Circuitality is the formal property of closed-circuit computation. BRIK-64 is the first programming system built entirely on this principle: 64 formally verified atomic components, composed through EVA algebra, certified by a Thermodynamic Coherence Engine.
This is NOT an evolving open-source project. BRIK-64 is a formally verified, immutable artifact. Once v2.0.0 ships, the self-compilation hash is final.

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Core Concepts

Monomers

64 atomic verified operations — like logic gates. Each monomer has a formal Coq proof.

Polymers

Compositions of monomers forming circuits — like integrated circuits from gates.

EVA Algebra

Three composition laws: ⊗ sequential, ∥ parallel, ⊕ conditional.

TCE

Thermodynamic Coherence Engine. Φ_c = 1 means circuit is closed and verified.

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Why BRIK-64?

64 operations total. Not infinite like Python or JavaScript. An AI cannot generate invalid code — incorrect programs cannot compile.
207 Coq proof files. Not “tests pass” — mathematical proof. Every monomer property is a theorem, not an assertion.
The compiler compiles itself, producing an identical hash. The fixpoint is the proof of correctness.
Designed for AI-generated code: deterministic, auto-certified, formally proven. The first language where incorrect programs cannot compile.

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Quick Example

// A simple PCD circuit
let x = MC_00.ADD8(10, 20);  // Monomer: 8-bit addition
let y = MC_02.MUL8(x, 2);    // Monomer: 8-bit multiply
MC_40.WRITE(y);               // Monomer: write output

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Architecture Pipeline

.pcd → parser → AST → planner (SSA) → CPF → backends
                                       ├── Rust
                                       ├── JavaScript  
                                       ├── Python
                                       ├── BIR bytecode
                                       └── Native x86-64