spectral_vm 0.1.6

/*
 * ═══════════════════════════════════════════════════════════════════════════
 * TECHNICAL MANIFEST: Sovereign Security Audit
 * SOVEREIGN SPECTRAL ROLE: Theoretical Security Quantifier
 * ═══════════════════════════════════════════════════════════════════════════
 *
 * PURPOSE:
 * Provides runtime calculation of the system's theoretical soundness (λ-bits).
 * Used to audit proof configurations against security requirements.
 *
 * FORMULAS:
 * λ_algebraic = log2(|F|) - log2(D)
 * λ_binding = Hash_Bits / 2 (Collision Resistance)
 * λ_total = min(λ_algebraic, λ_binding)
 * ═══════════════════════════════════════════════════════════════════════════
 */

/// Represents the security audit report for a specific VM configuration.
#[derive(Debug, Clone, PartialEq)]
pub struct SecurityReport {
    /// Algebraic security provided by Field/Degree ratio (Schwartz-Zippel).
    pub algebraic_security_bits: f64,
    /// Parseval Shield status (Deterministic/Probabilistic).
    pub parseval_shield_status: String,
    /// Total effective security bits (λ).
    pub total_security_bits: f64,
}

/// Calculates the theoretical security level of the Sovereign VM.
///
/// # Arguments
///
/// * `field_bits`: Size of the field in bits (e.g., 64 for Goldilocks).
/// * `constraint_degree`: Maximum degree of spectral constraints (e.g., 2 for S_MUL).
/// * `num_queries`: Number of FRI / Spectral queries (amplification factor).
pub fn audit_soundness(
    field_bits: u32,
    constraint_degree: u32,
    num_queries: u32,
) -> SecurityReport {
    // 1. Schwartz-Zippel Lemma: Error <= D / |F|
    // Security Bits = -log2(Error) = log2(|F|) - log2(D)
    // Amplified by number of independent queries.

    let base_security = (field_bits as f64) - (constraint_degree as f64).log2();
    let algebraic_security = base_security * (num_queries as f64);

    // 2. Parseval Shield Logic
    // For sparse attacks (accumulated error < field size), detection is deterministic.
    // We document this qualitative property.
    let shield_status = if field_bits >= 64 {
        "DETERMINISTIC (Sparse Attack Surface < 2^64)"
    } else {
        "PROBABILISTIC (Small Field Risk)"
    }
    .to_string();

    // 3. Collision Resistance (Binding)
    // Assuming SHA-256 or similar for Merkle Tree (256 bits).
    // Generic security is 128 bits.
    let binding_security = 128.0;

    let total_security = if algebraic_security < binding_security {
        algebraic_security
    } else {
        binding_security
    };

    SecurityReport {
        algebraic_security_bits: algebraic_security,
        parseval_shield_status: shield_status,
        total_security_bits: total_security,
    }
}

/// Verification helper for Goldilocks standard configuration.
pub fn audit_goldilocks_config() -> SecurityReport {
    // Goldilocks: ~64 bits
    // Max Degree: 2 (Quadratic constraints)
    // Queries: Typically 1 for simple checks, more for boosting.
    // Let's assume 1 query for base check.
    audit_soundness(64, 2, 1)
}