Halbach's weak Kleene logic

Halbach's weak Kleene logic is a type of formal system used to handle statements that may be true, false, or undefined. Unlike classical logic, which assumes every statement is either true or false, this logic allows for a third possibility—indeterminacy—reflecting situations like incomplete information or paradoxes. It uses a tailored set of rules to evaluate logical connections under these conditions, enabling more nuanced reasoning in contexts where some facts remain unknown or undefined. This approach is useful in areas like computer science and philosophical logic, where strict true/false dichotomies are insufficient to model complex, uncertain scenarios.