Abstract. We present a modal language that includes explicit operators to count the number of elements that a model might include in the extension of a formula, and we discuss how ...
Carlos Areces, Guillaume Hoffmann, Alexandre Denis
Abstract. Even though in Artificial Intelligence, a set of classical logical formulae is often called a belief base, reasoning about beliefs requires more than the language of cla...
The alternating xpoint of a logic program with negation is de ned constructively. The underlying idea is monotonically to build up a set of negative conclusions until the least xp...
Abstract. Probably the most significant result concerning cut-free sequent calculus proofs in linear logic is the completeness of focused proofs. This completeness theorem has a n...
Abstract. We present a probability logic (essentially a first order language extended with quantifiers that count the fraction of elements in a model that satisfy a first order ...