""" Threshold Network for OR Gate A formally verified single-neuron threshold network computing logical disjunction. Weights are integer-constrained and activation uses the Heaviside step function. """ import torch from safetensors.torch import load_file class ThresholdOR: """ OR gate implemented as a threshold neuron. Circuit: output = (w1*x1 + w2*x2 + bias >= 0) With weights=[1,1], bias=-1: any input reaches threshold. """ def __init__(self, weights_dict): self.weight = weights_dict['weight'] self.bias = weights_dict['bias'] def __call__(self, x1, x2): inputs = torch.tensor([float(x1), float(x2)]) 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 [..., 2] weights: Dict with 'weight' and 'bias' tensors Returns: OR(x[0], x[1]) """ 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 = ThresholdOR(weights) print("OR Gate Truth Table:") print("-" * 25) for x1 in [0, 1]: for x2 in [0, 1]: out = int(model(x1, x2).item()) expected = x1 | x2 status = "OK" if out == expected else "FAIL" print(f"OR({x1}, {x2}) = {out} [{status}]")