// GPL Hello World Example
// A simple program demonstrating geometric programming

PROGRAM hello_world {
    
    // Declare input nodes on the surface (I/O ports)
    INPUT μ_trigger [region: SURFACE, chirality: D]
    
    // Internal computation nodes
    INTERNAL μ_process [region: INTERIOR]
    INTERNAL μ_buffer [region: INTERIOR, chirality: L]
    
    // Output nodes
    OUTPUT μ_result [region: SURFACE]
    
    // PROGRAM LOGIC:
    // When triggered, activate a pattern in the interior
    // Propagate to output when stable
    
    // Trigger activation flow
    μ_trigger 
        -> ACCUMULATE 
        -> μ_process
    
    // Processing with noise (exploration)
    μ_process
        -> NOISE
        -> μ_buffer
    
    // Stabilization and output
    μ_buffer
        -> COLLAPSE
        -> μ_result
    
    // Configuration:
    // - Trigger starts at activation 8 (ACTIVE)
    // - Process accumulates with weight 0.5
    // - Buffer adds controlled noise (variance 0.3)
    // - Result collapses when confidence > 0.7
    
    INITIALIZE {
        μ_trigger.activation = 8      // Start active
        μ_process.activation = 0      // Start quiescent
        μ_buffer.activation = 0       // Start quiescent
        μ_result.activation = 0       // Start quiescent
        
        μ_trigger.confidence = 15     // High confidence
        μ_process.confidence = 8      // Medium confidence
    }
    
    CONVERGE {
        max_cycles = 1000
        variance_threshold = 0.1
        mode = NORMAL  // Allow noise
    }
    
    EXTRACT {
        // Result is in μ_result.activation
        // Map 0-15 to ASCII range
        output_value = μ_result.activation * 16
    }
}