Abstract. Iterated schemata allow to define infinite languages of propositional formulae through formulae patterns. Formally, schemata extend propositional logic with new (generali...
Vincent Aravantinos, Ricardo Caferra, Nicolas Pelt...
We develop a framework for trading in compound securities: financial instruments that pay off contingent on the outcomes of arbitrary statements in propositional logic. Buying o...
Lance Fortnow, Joe Kilian, David M. Pennock, Micha...
It is shown that the Hilbert series of the face ring of a clique complex (equivalently, flag complex) of a graph G is, up to a factor, just a specialization of SG (x, y), the subg...
Abduction is an important method of non-monotonic reasoning with many applications in artificial intelligence and related topics. In this paper, we concentrate on propositional ab...
Instances of the futile questioning problem abound in applications, especially, in the area of artificial intelligence. The problem can be represented by a particular quantified ...