We propose an extension of answer sets, that we call safe beliefs, that can be used to study several properties and notions of answer sets and logic programming from a more genera...
Systems of explicit mathematics provide an axiomatic framework to represent programs and to prove properties of them. We introduce such a system with a new form of power types usi...
Relation were invented by Tarski and his collaborators in the middle of the twentieth century. The concept of integrality arose naturally early in the history of the subject, and s...
We give a general method for constructing lattices L whose equational theories are inherently nonfinitely based. This means that the equational class (that is, the variety) genera...
Let T be a strongly minimal theory with quantifier elimination. We show that the class of existentially closed models of T {" is an automorphism"} is an elementary clas...