""" Threshold Network for NOT Gate A formally verified single-neuron threshold network computing logical negation. Weights are integer-constrained and activation uses the Heaviside step function. """ import torch from safetensors.torch import load_file class ThresholdNOT: """ NOT gate implemented as a threshold neuron. Circuit: output = (weight * input + bias >= 0) With weight=-1, bias=0: NOT(0)=1, NOT(1)=0 """ def __init__(self, weights_dict): self.weight = weights_dict['weight'] self.bias = weights_dict['bias'] def __call__(self, x): x = torch.as_tensor(x, dtype=torch.float32) return (x * self.weight + self.bias >= 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 (0 or 1) weights: Dict with 'weight' and 'bias' tensors Returns: NOT(x) """ x = torch.as_tensor(x, dtype=torch.float32) return (x * weights['weight'] + weights['bias'] >= 0).float() if __name__ == "__main__": weights = load_file("model.safetensors") model = ThresholdNOT(weights) print("NOT Gate Truth Table:") print("-" * 20) for inp in [0, 1]: out = int(model(inp).item()) expected = 1 - inp status = "OK" if out == expected else "FAIL" print(f"NOT({inp}) = {out} [{status}]")