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Integration at a point is a new kind of integration derived from integration over an interval in infinitesimal and infinity domains which are spaces larger than the reals. Consider a continuous monotonic divergent function that is…

General Mathematics · Mathematics 2015-03-04 Chelton D. Evans , William K. Pattinson

We describe the first results of a project of analyzing in which theories formal proofs can be ex- pressed. We use this analysis as the basis of interoperability between proof systems.

Logic in Computer Science · Computer Science 2017-12-06 Gilles Dowek

Software testing uses wide range of different tools to enhance the complicated process of defining quality of the system under test. Formal Concept Analysis (FCA) provides us with algorithms of deriving formal ontology from a set of objects…

Software Engineering · Computer Science 2015-05-07 Fedor Strok

Software testing is a complex, intellectual activity based (at least) on analysis, reasoning, decision making, abstraction and collaboration performed in a highly demanding environment. Naturally, it uses and allocates multiple cognitive…

Software Engineering · Computer Science 2020-12-10 Eduard Enoiu , Gerald Tukseferi , Robert Feldt

Software engineering concepts and processes are worthy of formal study; and yet we seldom formalize them. This "research ideas" article explores what a theory of software engineering could and should look like. Software engineering research…

Software Engineering · Computer Science 2025-02-25 Bertrand Meyer

When a physicist says that a theory is fine-tuned, they mean that it must make a suspiciously precise assumption in order to explain a certain observation. This is evidence that the theory is deficient or incomplete. One particular case of…

History and Philosophy of Physics · Physics 2021-10-18 Luke A. Barnes

Despite significant developments in Proof Theory, surprisingly little attention has been devoted to the concept of proof verifier. In particular, the mathematical community may be interested in studying different types of proof verifiers…

Artificial Intelligence · Computer Science 2016-10-26 Roman V. Yampolskiy

In this paper, we describe a novel approach for checking safety specifications of a dynamical system with exogenous inputs over infinite time horizon that is guaranteed to terminate in finite time with a conclusive answer. We introduce the…

Optimization and Control · Mathematics 2008-01-04 Amit Bhatia , Emilio Frazzoli

Assessing the validity of user simulators when used for the evaluation of information retrieval systems remains an open question, constraining their effective use and the reliability of simulation-based results. To address this issue, we…

Information Retrieval · Computer Science 2026-01-19 Andreas Konstantin Kruff , Nolwenn Bernard , Philipp Schaer

Counterexamples explain why a desired temporal logic property fails to hold. The generation of counterexamples is considered to be one of the primary advantages of model checking as a verification technique. Furthermore, when model checking…

Software Engineering · Computer Science 2016-07-11 G. W. Hamilton

The emergence of the Industrial Internet results in an increasing number of complicated temporal interdependencies between automation systems and the processes to be controlled. There is a need for verification methods that scale better…

Software Engineering · Computer Science 2017-04-26 Eero Siivola , Seppo Sierla , Hannu Niemistö , Tommi Karhela , Valeriy Vyatkin

Black-box safety evaluation of AI systems assumes model behavior on test distributions reliably predicts deployment performance. We formalize and challenge this assumption through latent context-conditioned policies -- models whose outputs…

Artificial Intelligence · Computer Science 2026-02-20 Vishal Srivastava

High-quality requirements minimize the risk of propagating defects to later stages of the software development life cycle. Achieving a sufficient level of quality is a major goal of requirements engineering. This requires a clear definition…

Software Engineering · Computer Science 2023-09-20 Julian Frattini , Lloyd Montgomery , Jannik Fischbach , Daniel Mendez , Davide Fucci , Michael Unterkalmsteiner

Explainable AI (XAI) offers a growing number of algorithms that aim to answer specific questions about black-box models. What is missing is a principled way to consolidate explanatory information about a fixed black-box model into a…

We investigate the simulation problem in of dense-time system. A specification simulates a model if the specification can match every transition that the model can make at a time point. We also adapt the approach of Emerson and Lei and…

Logic in Computer Science · Computer Science 2010-07-06 Farn Wang

Data-trained predictive models see widespread use, but for the most part they are used as black boxes which output a prediction or score. It is therefore hard to acquire a deeper understanding of model behavior, and in particular how…

With the growing interest in deploying robots in unstructured and uncertain environments, there has been increasing interest in factoring risk into safety-critical control development. Similarly, the authors believe risk should also be…

Systems and Control · Electrical Eng. & Systems 2022-03-08 Prithvi Akella , Mohamadreza Ahmadi , Aaron D. Ames

This paper provides empirical concerns about post-hoc explanations of black-box ML models, one of the major trends in AI explainability (XAI), by showing its lack of interpretability and societal consequences. Using a representative…

Human-Computer Interaction · Computer Science 2021-10-01 Jean-Marie John-Mathews

Local explanation frameworks aim to rationalize particular decisions made by a black-box prediction model. Existing techniques are often restricted to a specific type of predictor or based on input saliency, which may be undesirably…

Machine Learning · Computer Science 2019-02-12 Brandon Carter , Jonas Mueller , Siddhartha Jain , David Gifford

We study the problem of predictive runtime monitoring of black-box dynamical systems with quantitative safety properties. The black-box setting stipulates that the exact semantics of the dynamical system and the controller are unknown, and…

Systems and Control · Electrical Eng. & Systems 2024-12-24 Thomas A. Henzinger , Fabian Kresse , Kaushik Mallik , Emily Yu , Đorđe Žikelić