Within propositional logic, the term equivalence is used in either of the following two ways: (1) as a particular type of propositional statement or (2) as the logical operator used to form an "equivalence" statement. In order to develop a precise...

. Any SYMMETRIC AND TRANSITIVE relation, e.g. equal in size to. Its terms are equivalent in the sense that there is some determinable property, like size, which they all have to the same degree or in the same determinate form, and whatever any of them...

In mathematics, an equivalence relation is a binary relation between two elements of a set which groups them together as being "equivalent" in some way. Let a, b, and c be arbitrary elements of some set X. Then "a ~ b" or "a ≡ b" denotes that a is...

Previous research has demonstrated that equivalence relations are difficult to reverse. The present study sought to determine if this difficulty is related to particular features of the training tasks. Sixty-six Dutch adults and children were employed across 7 experiments. Following the formation of two...

Murray Sidman's view of stimulus equivalence as a basic stimulus function, and his preference for a largely procedural approach to the study of equivalence is outlined. Steven Hayes's relational frame account, which considers the equivalence relation as one of a number of derived stimulus...