""" Threshold Network for MOD-6 Circuit A formally verified threshold network computing Hamming weight mod 6. Uses the algebraic weight pattern [1, 1, 1, 1, 1, -5, 1, 1]. """ import torch from safetensors.torch import load_file class ThresholdMod6: """ MOD-6 circuit using threshold logic. Weight pattern: (1, 1, 1, 1, 1, 1-m) for m=6 at position 6 """ def __init__(self, weights_dict): self.weight = weights_dict['weight'] self.bias = weights_dict['bias'] def __call__(self, bits): inputs = torch.tensor([float(b) for b in bits]) weighted_sum = (inputs * self.weight).sum() + self.bias return weighted_sum @classmethod def from_safetensors(cls, path="model.safetensors"): return cls(load_file(path)) if __name__ == "__main__": weights = load_file("model.safetensors") model = ThresholdMod6(weights) print("MOD-6 Circuit Tests:") print("-" * 40) for hw in range(9): bits = [1]*hw + [0]*(8-hw) out = model(bits).item() expected = hw % 6 print(f"HW={hw}: weighted_sum={out:.0f}, HW mod 6 = {expected}")