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Reactive computer systems bear inherent complexity due to continuous interactions with their environment. While this environment often proves to be uncontrollable, we still want to ensure that critical computer systems will not fail, no…

Computer Science and Game Theory · Computer Science 2012-10-19 Mickael Randour

As the complexity of software systems rises, methods for explaining their behaviour are becoming ever-more important. When a system fails, it is critical to determine which of its components are responsible for this failure. Within the…

Formal Languages and Automata Theory · Computer Science 2026-02-23 Christel Baier , Rio Klatt , Sascha Klüppelholz , Max Korn , Johannes Lehmann

This paper develops a process-based account of scientific explanation that reconceives grounding in terms of stabilisation. Grounding theories capture hierarchical dependence but lack criteria for when explanations remain adequate under…

History and Philosophy of Physics · Physics 2026-01-05 Jonathon Sendall

The need for rigorous process composition is encountered in many situations pertaining to the development and analysis of complex systems. We discuss the use of Classical Linear Logic (CLL) for correct-by-construction resource-based process…

Logic in Computer Science · Computer Science 2018-08-20 Petros Papapanagiotou , Jacques Fleuriot

Here we introduce the idea of using rational expectations, a core concept in economics and finance, as a tool to predict the optimal failure time for a wide class of weighted k-out-of-n reliability systems. We illustrate the concept by…

Physics and Society · Physics 2021-12-21 Jorgen Vitting Andersen , Roy Cerqueti , Jessica Riccioni

Explanation facilities are a particularly important feature of expert system frameworks. It is an area in which traditional rule-based expert system frameworks have had mixed results. While explanations about control are well handled,…

Artificial Intelligence · Computer Science 2013-04-12 Steven W. Norton

Random substitutions are a natural generalisation of their classical `deterministic' counterpart, whereby at every step of iterating the substitution, instead of replacing a letter with a predetermined word, every letter is independently…

Dynamical Systems · Mathematics 2020-04-14 Dan Rust , Timo Spindeler

The contribution of this paper is threefold: first, it defines a framework for modelling component-based systems, as well as a formalization of integration rules to combine their behavior. This is based on finite state machines (FSM).…

Software Engineering · Computer Science 2014-06-12 Bilal Kanso , Omar Chebaro

Relative correctness is the property of a program to be more-correct than another with respect to a given specification. Whereas the traditional definition of (absolute) correctness divides candidate program into two classes (correct, and…

Software Engineering · Computer Science 2016-06-03 Nafi Diallo , Wided Ghardallou , Ali Mili

Multiple testing problems arise naturally in scientific studies because of the need to capture or convey more information with more variables. The literature is enormous, but the emphasis is primarily methodological, providing numerous…

Other Statistics · Statistics 2020-10-07 Yudi Pawitan , Arvid Sjölander

In a traditional formal development process, e.g. using the B method, the informal user requirements are (manually) translated into a global abstract formal specification. This translation is especially difficult to achieve. The Event-B…

Software Engineering · Computer Science 2016-06-08 Thomas Fayolle , Marc Frappier , Régine Laleau , Frédéric Gervais

Mathematical proofs are often said to justify their conclusions by indicating the existence of a corresponding formal derivation. We argue that this widespread view relies on an under-examined notion of correspondence, or what it means for…

History and Overview · Mathematics 2026-03-20 Simon DeDeo , Eamon Duede

Uncertainty quantification of complex technical systems is often based on a computer model of the system. As all models such a computer model is always wrong in the sense that it does not describe the reality perfectly. The purpose of this…

Systems and Control · Electrical Eng. & Systems 2020-12-18 Sebastian Kersting , Michael Kohler

Resilience is a concept of rising interest in computer science and software engineering. For systems in which correctness w.r.t. a safety condition is unachievable, fast recovery is demanded. We investigate resilience problems of graph…

Software Engineering · Computer Science 2021-12-22 Okan Özkan , Nick Würdemann

The formal analysis of automated systems is an important and growing industry. This activity routinely requires new verification frameworks to be developed to tackle new programming features, or new considerations (bugs of interest). Often,…

Logic in Computer Science · Computer Science 2026-02-17 Paul Brunet

This note concerns a search for publications in which one can find statements that explain the concept of an operating system, reasons for introducing operating systems, a formalization of the concept of an operating system or theory about…

Operating Systems · Computer Science 2010-03-30 C. A. Middelburg

Context: The complexity of modern safety-critical systems in industries keep on increasing due to the rising number of features and functionalities. This calls for formal methods in order to entrust confidence in such systems. Nevertheless,…

Software Engineering · Computer Science 2021-08-17 Arut Prakash Kaleeswaran , Arne Nordmann , Thomas Vogel , Lars Grunske

Existing procedures for model validation have been deemed inadequate for many engineering systems. The reason of this inadequacy is due to the high degree of complexity of the mechanisms that govern these systems. It is proposed in this…

Artificial Intelligence · Computer Science 2007-05-23 A. Guergachi

Software system certification presents itself with many challenges, including the necessity to certify the system at the level of functional requirements, code and binary levels, the need to chase down run-time errors, and the need for…

Software Engineering · Computer Science 2007-05-23 Eric Feron , Mardavij Roozbehani

Electronics has changed greatly during recent decades, and some its basic concepts should be revisited. Starting from the sampling procedure, we consider some mathematical, physical and engineering aspects related to singular, mainly…

Exactly Solvable and Integrable Systems · Physics 2008-01-24 Emanuel Gluskin