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The aim of this article is to examine the applicability of a compositional method developed for a generalized product construction by Feferman and Vaught to the field of program verification.We suggest an instance of the generalized product construction and prove an appropriate composition...
This article introduces a logical system, called BV, which extends multiplicative linear logic by a noncommutative self-dual logical operator. This extension is particularly challenging for the sequent calculus, and so far, it is not achieved therein. It becomes very natural in a new formalism,...
Shape analysis concerns the problem of determining “shape invariants” for programs that perform destructive updating on dynamically allocated storage. In recent work, we have shown how shape analysis can be performed using an abstract interpretation based on three-valued first-order logic. In...
Abduction is one of the most important forms of reasoning; it has been successfully applied to several practical problems, such as diagnosis. In this article we investigate whether the computational complexity of abduction can be reduced by an appropriate use of preprocessing. This is motivated...
An abstract framework of canonical inference is used to explore how different proof orderings induce different variants of saturation and completeness. Notions like completion, paramodulation, saturation, redundancy elimination, and rewrite-system reduction are connected to proof orderings....
The μ-calculus is a powerful tool for specifying and verifying transition systems, including those with both demonic (universal) and angelic (existential) choice; its quantitative generalization qM μ extends to include probabilistic choice.We make two major contributions to the theory of such...
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