7 research outputs found
Verification-based software-fault detection
Software is used in many safety- and security-critical systems. Software development is, however, an error-prone task. In this work new techniques for the detection of software faults (or software "bugs") are described which are based on a formal deductive verification technology. The described techniques take advantage of information obtained during verification and combine verification technology with deductive fault detection and test generation in a very unified way
Verification-based Software-fault Detection
Software is used in many safety- and security-critical systems. Software development is, however, an error-prone task. In this dissertation new techniques for the detection of software faults (or software "bugs") are described which are based on a formal deductive verification technology. The described techniques take advantage of information obtained during verification and combine verification technology with deductive fault detection and test generation in a very unified way
On optimal solutions of the Borel problem in the Roumieu case
The Borel problem for Denjoy--Carleman and Braun--Meise--Taylor classes has
well-known optimal solutions. The unified treatment of these
ultradifferentiable classes by means of one-parameter families of weight
sequences allows to compare these optimal solutions. We determine the relations
among them and give conditions for their equivalence in the Roumieu case.Comment: 18 pages; minor changes, Remark 4.7 adde