""" Threshold Network for Minority Gate A formally verified single-neuron threshold network computing 8-bit minority. Outputs 1 when 3 or fewer of the 8 inputs are true (strict minority). """ import torch from safetensors.torch import load_file class ThresholdMinority: """ Minority gate implemented as a threshold neuron. Circuit: output = (sum of weighted inputs + bias >= 0) With all weights=-1, bias=3: fires when hamming weight <= 3. """ 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(x, weights): """ Forward pass with Heaviside activation. Args: x: Input tensor of shape [..., 8] weights: Dict with 'weight' and 'bias' tensors Returns: 1 if minority (3 or fewer of 8) are true, else 0 """ x = torch.as_tensor(x, dtype=torch.float32) weighted_sum = (x * weights['weight']).sum(dim=-1) + weights['bias'] return (weighted_sum >= 0).float() if __name__ == "__main__": weights = load_file("model.safetensors") model = ThresholdMinority(weights) print("Minority Gate Tests:") print("-" * 40) test_cases = [ [0,0,0,0,0,0,0,0], [1,0,0,0,0,0,0,0], [1,1,1,0,0,0,0,0], [1,1,1,1,0,0,0,0], [1,1,1,1,1,0,0,0], [1,1,1,1,1,1,1,1], ] for bits in test_cases: hw = sum(bits) out = int(model(bits).item()) expected = 1 if hw <= 3 else 0 status = "OK" if out == expected else "FAIL" print(f"HW={hw}: Minority({bits}) = {out} [{status}]")