""" Threshold Network for Majority Gate A formally verified single-neuron threshold network computing 8-bit majority. Outputs 1 when 5 or more of the 8 inputs are true (strict majority). """ import torch from safetensors.torch import load_file class ThresholdMajority: """ Majority gate implemented as a threshold neuron. Circuit: output = (sum of inputs + bias >= 0) With all weights=1, bias=-5: fires when hamming weight >= 5. """ 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 >= 0).float() @classmethod def from_safetensors(cls, path="model.safetensors"): return cls(load_file(path)) def forward(x0, x1, x2, x3, x4, x5, x6, x7, weights): """ Forward pass with Heaviside activation. Args: x0-x7: Individual input bits weights: Dict with 'weight' and 'bias' tensors Returns: 1 if majority (5+ of 8) are true, else 0 """ x = torch.tensor([float(x0), float(x1), float(x2), float(x3), float(x4), float(x5), float(x6), float(x7)]) weighted_sum = (x * weights['weight']).sum() + weights['bias'] return (weighted_sum >= 0).float() if __name__ == "__main__": weights = load_file("model.safetensors") model = ThresholdMajority(weights) print("Majority Gate Tests:") print("-" * 40) test_cases = [ [0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0], [1,1,1,1,0,0,0,0], [1,1,1,1,1,0,0,0], [1,1,1,1,1,1,0,0], [1,1,1,1,1,1,1,1], ] for bits in test_cases: hw = sum(bits) out = int(model(bits).item()) expected = 1 if hw >= 5 else 0 status = "OK" if out == expected else "FAIL" print(f"HW={hw}: Majority({bits}) = {out} [{status}]")