Routley Star semantics

Routley Star semantics is a logical framework used to understand how certain statements about possibility and necessity work. It builds a model where each statement has a "complement" or opposite, called its Routley Star. This approach helps analyze non-classical logics, especially those dealing with concepts like falsehood or impossibility—allowing us to formally represent scenarios where traditional logic struggles, such as paradoxes or denial. By systematically examining these relationships, Routley Star semantics enhances our understanding of nuanced logical structures, especially in philosophical and theoretical contexts.