We develop the theory of partial satisfaction relations for structures that may be proper classes and define a satisfaction predicate (╞*) appropriate to such structures. We indicate the utility of ...

This is a preview. Log in through your library . Abstract Partial functions can be easily represented in set theory as certain sets of ordered pairs. However, classical set theory provides no special ...

Mathematical logic, set theory, lattices and universal algebra form an interconnected framework that underpins much of modern mathematics. At its heart, mathematical logic provides rigorous formal ...

Mathematics often helps us to think about issues that don’t seem mathematical. One area that has surprisingly far-reaching applications is the theory of sets. Sets are one of the most basic objects in ...

A universal passive logic element of positive and negative logic, made on just one transistor, is proposed. The logic element has at least two inputs, as well as three outputs: an OR, an XOR, and an ...