Density elimination, a close relative of cut elimination, consists of removing applications of the Takeuti-Titani density rule from derivations in Gentzen-style (hypersequent) cal...
Abstract. Default logic is one of the most widely used formalisms to formalize commonsense reasoning. In this paper we analyze the complexity of deciding whether a propositional in...
A construction principle for natural deduction systems for arbitrary finitely-many-valued first order logics is exhibited. These systems are systematically obtained from sequent...
We see cut-free sequent systems for the basic normal modal logics formed by any combination the axioms d, t, b, 4, 5. These systems are modular in the sense that each axiom has a c...
Abstract. We extend Clark’s definition of a completed program and the definition of a loop formula due to Lin and Zhao to disjunctive logic programs. Our main result, generaliz...