Tagungsband zum 21. Kolloquium Programmiersprachen und Grundlagen der Programmierung

Das 21. Kolloquium Programmiersprachen und Grundlagen der Programmierung (KPS 2021) setzt eine traditionelle Reihe von Arbeitstagungen fort, die 1980 von den Forschungsgruppen der Professoren Friedrich L. Bauer (TU München), Klaus Indermark (RWTH Aachen) und Hans Langmaack(CAU Kiel) ins Leben gerufen wurde.Die Veranstaltung ist ein offenes Forum für alle interessierten deutschsprachigen Wissenschaftlerinnen und Wissenschaftler zum zwanglosen Austausch neuer Ideen und Ergebnisse aus den Forschungsbereichen Entwurf und Implementierung von Programmiersprachen sowie Grundlagen und Methodik des Programmierens. Dieser Tagungsband enthält die wissenschaftlichen Beiträge,die bei dem 21. Kolloquium dieser Tagungsreihe präsentiert wurden, welches vom 27. bis 29. September 2021 in Kiel stattfand und von der Arbeitsgruppe Programmiersprachen und Übersetzerkonstruktion der Christian-Albrechts-Universität zu Kiel organisiert wurde

Behavioural Preorders on Stochastic Systems - Logical, Topological, and Computational Aspects

Computer systems can be found everywhere: in space, in our homes, in our cars, in our pockets, and sometimes even in our own bodies. For concerns of safety, economy, and convenience, it is important that such systems work correctly. However, it is a notoriously difficult task to ensure that the software running on computers behaves correctly. One approach to ease this task is that of model checking, where a model of the system is made using some mathematical formalism. Requirements expressed in a formal language can then be verified against the model in order to give guarantees that the model satisfies the requirements. For many computer systems, time is an important factor. As such, we need our formalisms and requirement languages to be able to incorporate real time. We therefore develop formalisms and algorithms that allow us to compare and express properties about real-time systems. We first introduce a logical formalism for reasoning about upper and lower bounds on time, and study the properties of this formalism, including axiomatisation and algorithms for checking when a formula is satisfied. We then consider the question of when a system is faster than another system. We show that this is a difficult question which can not be answered in general, but we identify special cases where this question can be answered. We also show that under this notion of faster-than, a local increase in speed may lead to a global decrease in speed, and we take step towards avoiding this. Finally, we consider how to compare the real-time behaviour of systems not just qualitatively, but also quantitatively. Thus, we are interested in knowing how much one system is faster or slower than another system. This is done by introducing a distance between systems. We show how to compute this distance and that it behaves well with respect to certain properties.Comment: PhD dissertation from Aalborg Universit