Natural Deduction style presentations of program logics are useful in view of the implementation of such logics in interactive proof development environments, based on type theory,...
In this paper we define the notion of a compatibility relation so as to have a common framework for three nonmonotonic reasoning systems: normal logic programming, extended logic ...
In this chapter, we summarize the research on querying inconsistent databases we have been conducting over the last five years. The formal framework we have used is based on two c...
This paper presents mathematical results that can sometimes be used to simplify the task of reasoning about a default theory, by \splitting it into parts." These so-called Sp...
We define a rewrite strategy for a class of non-confluent constructor-based term graph rewriting systems and discuss its correctness. Our strategy and its extension to narrowing...