This volume comprises the proceedings of the FirstAll-Berlin Workshop on Nonclassical Logics and InformationProcessing, held at the Free University of Berlin, November9-10, 1990.The scope of the ten papers in the volume is broad, coveringvarious different subfields of logic - particularlynonclassical logic - and its applications in artificialintelligence. The papers are grouped according to the fourmajor topics that emerged at the meeting: modal systems, logic programming, nonmonotonic logics, and proof theory.The classification is only a rough guide since the fourareas overlap considerably.

The book presents a thoroughly elaborated logical theory of generalized truth-values understood as subsets of some established set of (basic) truth values. After elucidating the importance of the very notion of a truth value in logic and philosophy, we examine some possible ways of generalizing this notion. The useful four-valued logic of first-degree entailment by Nuel Belnap and the notion of a bilattice (a lattice of truth values with two ordering relations) constitute the basis for further generalizations. By doing so we elaborate the idea of a multilattice, and most notably, a trilattice...

Modal logic originated in philosophy as the logic of necessity and possibility. Now it has reached a high level of mathematical sophistication and has many applications in a variety of disciplines, including theoretical and applied computer science, artificial intelligence, the foundations of mathematics, and natural language syntax and semantics. This volume represents the proceedings of the first international workshop on Advances in Modal Logic, held in Berlin, Germany, October 8 10, 1996. It offers an up-to-date perspective on the field, with contributions covering its proof theory, its...