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/*
* ═══════════════════════════════════════════════════════════════════════════
* HYPERION: Sovereign-Class Spectral ZK-VM
* ═══════════════════════════════════════════════════════════════════════════
*
* A high-performance, bit-level provable virtual machine utilizing
* Hypercube Spectral Analysis and Walsh-Hadamard Transforms.
*
* TECHNICAL SUMMARY:
* - Field: Goldilocks (2^64 - 2^32 + 1) — zero-cost modular arithmetic
* - Transform: Fast Walsh-Hadamard (O(n log n) Time ↔ Spectral)
* - Arithmetization: Boolean Hypercube signal processing (polynomial-less)
* - Constraints: Dyadic Convolution Theorem & Spectral Idempotence
* - Soundness: Strict Spectral Folding & Fiat-Shamir Transcript
*
* SOVEREIGN PARADIGM:
* - Spectral Integrity: x² = x for all hypercube signals (Booleanity)
* - Hypercube Compaction: No polynomial interpolation—spectral compression only
* - Dyadic Convolution: All logic verified in frequency domain
* ═══════════════════════════════════════════════════════════════════════════
*/
// ═══════════════════════════════════════════════════════════════════════════
// SOVEREIGN MODULES
// ═══════════════════════════════════════════════════════════════════════════
/// Comprehensive error types for all operations.
/// Attestation generation and verification (proof system).
/// Security Audit (Soundness Quantification).
/// Circuit Compilation & Optimization Pipeline.
/// High-level Circuit Compiler (Source → S-RISC).
/// LLVM/MLIR Integration (Clang/Rust Frontend → Spectral IR).
/// Spectral constraint verification (AND, XOR, Selection, Booleanity).
/// Goldilocks field arithmetic (2^64 - 2^32 + 1).
/// Spectral folding engine (IOPP-based compaction).
/// Fast Reed-Solomon Interactive Oracle Proofs (FRI).
/// Reed-Solomon Error-Correcting Codes for FRI.
/// Memory Pool Allocator for Large FRI Operations.
/// Configuration Management (TOML + Environment Variables).
/// Formal Cryptographic Specification & Security Audit.
/// Fast Walsh-Hadamard Transform (Time ↔ Spectral bridge).
/// Parallel Merkle tree commitment layer.
/// Zero-knowledge privacy via FRI-aware entropy shielding.
/// Spectral signals and manifolds (hypercube data structures).
/// Fiat-Shamir transcript (random oracle model).
/// Sovereign Virtual Machine (Wave-Execution Engine).
// ═══════════════════════════════════════════════════════════════════════════
// HARDWARE-ALIGNED MODULES
// ═══════════════════════════════════════════════════════════════════════════
/// 64-bit Spectral ALU (adders, multipliers, shifters).
/// 1-bit atomic arithmetic primitives (full-adder, full-subtractor).
// ═══════════════════════════════════════════════════════════════════════════
// BACKWARD COMPATIBILITY (Deprecated, remove in v2.0)
// ═══════════════════════════════════════════════════════════════════════════