1. A state corresponding to a truth functional valuation or model’s overdetermining the evaluation of a formula by assigning it more than one truth value. For example, a paraconsistent approach to the Liar sentence is that natural intuitions lead to its being both true and false, i.e., assigned multiple values. Importantly, this definition entails that one can accept the existence of gluts while denying the existence of any truth values besides truth and falsity. A truth value glut is dual to the notion of a truth value gap, in which a valuation fails to assign a formula a truth value (e.g., in virtue of being a partial function).
2. A truth value in a semantics that is taken to represent a glut in the former sense.