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We present a simple theoretical framework, and corresponding practical procedures, for comparing probabilistic models on real data in a traditional machine learning setting. This framework is based on the theory of proper scoring rules, but…

Machine Learning · Statistics 2015-02-13 Mithun Chakraborty , Sanmay Das , Allen Lavoie

Model checking is a powerful method widely explored in formal verification. Given a model of a system, e.g., a Kripke structure, and a formula specifying its expected behaviour, one can verify whether the system meets the behaviour by…

Logic in Computer Science · Computer Science 2019-02-07 A. Molinari , A. Montanari , A. Murano , G. Perelli , A. Peron

Solving nonlinear model predictive control problems in real time is still an important challenge despite of recent advances in computing hardware, optimization algorithms and tailored implementations. This challenge is even greater when…

Systems and Control · Electrical Eng. & Systems 2021-09-23 Benjamin Karg , Teodoro Alamo , Sergio Lucia

We describe a model-checking toolchain for the behavioral verification of AADL models that takes into account the realtime semantics of the language and that is compatible with the AADL Behavioral Annex. We give a high-level view of the…

Software Engineering · Computer Science 2015-03-03 B Berthomieu , J. -P Bodeveix , S Dal Zilio , M Filali , D Le Botlan , G Verdier , F Vernadat

This paper proposes new parametric model adequacy tests for possibly nonlinear and nonstationary time series models with noncontinuous data distribution, which is often the case in applied work. In particular, we consider the correct…

Statistics Theory · Mathematics 2021-08-10 Igor Kheifets , Carlos Velasco

A novel, scalable, on-the-fly model-checking procedure is presented to verify bounded PCTL properties of selected individuals in the context of very large systems of independent interacting objects. The proposed procedure combines…

Logic in Computer Science · Computer Science 2013-12-13 Diego Latella , Michele Loreti , Mieke Massink

Security verification of communication protocols in industrial and safety-critical systems is challenging because implementations are often proprietary, accessible only as black boxes, and too complex for manual modeling. As a result,…

Cryptography and Security · Computer Science 2026-03-02 Stefan Marksteiner , Mikael Sjödin , Marjan Sirjani

We introduce a model of probabilistic verification in mechanism design. The principal elicits a message from the agent and then selects a test to give the agent. The agent's true type determines the probability with which he can pass each…

Theoretical Economics · Economics 2025-01-16 Ian Ball , Deniz Kattwinkel

This paper discusses how model checking, a technique used for the verification of behavioural requirements of dynamic systems, can be usefully deployed for the verification of contracts. A process view of agreements between parties is…

Software Engineering · Computer Science 2007-05-23 Aspassia Daskalopulu

This tutorial paper presents a hands-on perspective on probabilistic model checking with the Storm model checker. Storm is a decade-old model checker that excels in performance and a rich Python-based ecosystem, which makes it easy to…

Software Engineering · Computer Science 2026-03-17 Matthias Volk , Linus Heck , Sebastian Junges , Joost-Pieter Katoen , Tim Quatmann

As machine learning is increasingly used in essential systems, it is important to reduce or eliminate the incidence of serious bugs. A growing body of research has developed machine learning algorithms with formal guarantees about…

Machine Learning · Computer Science 2020-07-15 Jean-Baptiste Tristan , Joseph Tassarotti , Koundinya Vajjha , Michael L. Wick , Anindya Banerjee

We present an automated framework for solidifying the cohesion between software specifications, their dependently typed models, and implementation at compile time. Model Checking and type checking are currently separate techniques for…

Programming Languages · Computer Science 2024-07-18 Thomas Ekström Hansen , Edwin Brady

Robots are increasingly used to carry out critical missions in extreme environments that are hazardous for humans. This requires a high degree of operational autonomy under uncertain conditions, and poses new challenges for assuring the…

Artificial Intelligence · Computer Science 2020-12-08 Xingyu Zhao , Valentin Robu , David Flynn , Fateme Dinmohammadi , Michael Fisher , Matt Webster

Safety-critical prediction systems, such as autonomous vehicles, weather forecasters, and medical monitors, commonly rely on probabilistic forecasters. These forecasters make predictions about possible future outcomes, and their quality and…

Methodology · Statistics 2026-04-30 Romeo Valentin

Model-based development enables quicker prototyping, earlier experimentation and validation of design intents. For a multi-agent system with complex asynchronous interactions and concurrency, formal verification, model-checking in…

Robotics · Computer Science 2025-11-20 Hiep Hong Trinh , Marjan Sirjani , Federico Ciccozzi , Abu Naser Masud , Mikael Sjödin

Deep neural networks has been increasingly applied in fault diagnostics, where it uses historical data to capture systems behavior, bypassing the need for high-fidelity physical models. However, despite their competence in prediction tasks,…

Machine Learning · Computer Science 2025-09-24 Arman Mohammadi , Mattias Krysander , Daniel Jung , Erik Frisk

We study several extensions of linear-time and computation-tree temporal logics with quantifiers that allow for counting how often certain properties hold. For most of these extensions, the model-checking problem is undecidable, but we show…

Logic in Computer Science · Computer Science 2017-06-28 Normann Decker , Peter Habermehl , Martin Leucker , Arnaud Sangnier , Daniel Thoma

Software model checking, as an undecidable problem, has three possible outcomes: (1) the program satisfies the specification, (2) the program does not satisfy the specification, and (3) the model checker fails. The third outcome usually…

Software Engineering · Computer Science 2015-03-19 Dirk Beyer , Thomas A. Henzinger , M. Erkan Keremoglu , Philipp Wendler

Recently there has been a great attention from the scientific community towards the use of the model-checking technique as a tool for test generation in the simulation field. This paper aims to provide a useful mean to get more insights…

Logic in Computer Science · Computer Science 2011-11-14 Margherita Napoli , Mimmo Parente

Matrix product states (MPS) are a standard tensor-network representation for ground states of one-dimensional quantum many-body systems, and they underpin widely used simulation tools such as DMRG. However, while quantum model checking has…

Quantum Physics · Physics 2026-05-15 Ming Xu , Yihao Chen , Ji Guan