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To improve reliability and the understanding of AI systems, there is increasing interest in the use of formal methods, e.g. model checking. Model checking tools produce a counterexample when a model does not satisfy a property.…

Formal Languages and Automata Theory · Computer Science 2024-02-05 Christel Baier , Roxane van den Bossche , Sascha Klüppelholz , Johannes Lehmann , Jakob Piribauer

The enormous growth of the complexity of modern computer systems leads to an increasing demand for techniques that support the comprehensibility of systems. This has motivated the very active research field of formal methods that enhance…

Formal Languages and Automata Theory · Computer Science 2024-12-09 Christel Baier , Sascha Klüppelholz , Johannes Lehmann

Forward reachability analysis is a dominant approach for verifying reach-avoid specifications in neural feedback systems, i.e., dynamical systems controlled by neural networks, and a number of directions have been proposed and studied. In…

Artificial Intelligence · Computer Science 2026-03-24 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

Responsibility allocation -- determining the extent to which agents are accountable for outcomes -- is a fundamental challenge in the design and analysis of multi-agent systems. In this work, we model such systems as concurrent stochastic…

Multiagent Systems · Computer Science 2026-05-14 Chunyan Mu , Muhammad Najib

Many real-world situations of ethical relevance, in particular those of large-scale social choice such as mitigating climate change, involve not only many agents whose decisions interact in complicated ways, but also various forms of…

Theoretical Economics · Economics 2020-07-16 Jobst Heitzig , Sarah Hiller

Forward reachability analysis is the predominant approach for verifying reach-avoid properties in neural feedback systems (dynamical systems controlled by neural networks). This dominance stems from the limited scalability of existing…

Artificial Intelligence · Computer Science 2026-01-14 Samuel I. Akinwande , Sydney M. Katz , Mykel J. Kochenderfer , Clark Barrett

Modern AI systems are typically developed through multiple stages-pretraining, fine-tuning rounds, and subsequent adaptation or alignment, where each stage builds on the previous ones and updates the model in distinct ways. This raises a…

Machine Learning · Computer Science 2026-02-10 Shichang Zhang , Hongzhe Du , Jiaqi W. Ma , Himabindu Lakkaraju

As neural networks (NNs) become more prevalent in safety-critical applications such as control of vehicles, there is a growing need to certify that systems with NN components are safe. This paper presents a set of backward reachability…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Nicholas Rober , Sydney M. Katz , Chelsea Sidrane , Esen Yel , Michael Everett , Mykel J. Kochenderfer , Jonathan P. How

The increasing prevalence of neural networks (NNs) in safety-critical applications calls for methods to certify their behavior and guarantee safety. This paper presents a backward reachability approach for safety verification of neural…

Systems and Control · Electrical Eng. & Systems 2022-11-22 Nicholas Rober , Michael Everett , Jonathan P. How

Reversible computing is a new paradigm that has emerged recently and extends the traditional forwards-only computing mode with the ability to execute in backwards, so that computation can run in reverse as easily as in forward. Two…

Formal Languages and Automata Theory · Computer Science 2023-09-07 Nataliya Gribovskaya , Irina Virbitskaite

Investigations of causality in operational systems aim at providing human-understandable explanations of why a system behaves as it does. There is, in particular, a demand to explain what went wrong on a given counterexample execution that…

Logic in Computer Science · Computer Science 2023-10-03 Julie Parreaux , Jakob Piribauer , Christel Baier

Investigations of causality in operational systems aim at providing human-understandable explanations of why a system behaves as it does. There is, in particular, a demand to explain what went wrong on a given counterexample execution that…

Logic in Computer Science · Computer Science 2023-08-23 Julie Parreaux , Jakob Piribauer , Christel Baier

Reachability analysis, in general, is a fundamental method that supports formally-correct synthesis, robust model predictive control, set-based observers, fault detection, invariant computation, and conformance checking, to name but a few.…

Systems and Control · Electrical Eng. & Systems 2020-11-17 Niklas Kochdumper , Bastian Schürmann , Matthias Althoff

As machine learning systems move from computer-science laboratories into the open world, their accountability becomes a high priority problem. Accountability requires deep understanding of system behavior and its failures. Current…

Machine Learning · Computer Science 2018-09-21 Besmira Nushi , Ece Kamar , Eric Horvitz

Backward reachability analysis computes the set of states that reach a target set under the competing influence of control input and disturbances. Depending on their interplay, the backward reachable set either represents all states that…

Numerical Analysis · Mathematics 2025-09-19 Mark Wetzlinger , Matthias Althoff

The safety of infinite state systems can be checked by a backward reachability procedure. For certain classes of systems, it is possible to prove the termination of the procedure and hence conclude the decidability of the safety problem.…

Logic in Computer Science · Computer Science 2015-07-01 Silvio Ghilardi , Silvio Ranise

Quantifying the inconsistency of a database is motivated by various goals including reliability estimation for new datasets and progress indication in data cleaning. Another goal is to attribute to individual tuples a level of…

Databases · Computer Science 2023-06-22 Ester Livshits , Benny Kimelfeld

The reachability analysis of weighted pushdown systems is a very powerful technique in verification and analysis of recursive programs. Each transition rule of a weighted pushdown system is associated with an element of a bounded semiring…

Formal Languages and Automata Theory · Computer Science 2019-03-14 Yasuhiko Minamide

Reachability problems in infinite-state systems are often subject to extremely high complexity. This motivates the investigation of efficient overapproximations, where we add transitions to obtain a system in which reachability can be…

Formal Languages and Automata Theory · Computer Science 2022-06-28 Moses Ganardi , Rupak Majumdar , Georg Zetzsche

Backward reachability (also termed controllability) has been extensively studied in control theory, and tools for a wide class of systems have been developed. Nevertheless, assessing a backward reachability analysis or synthesis remains…

Optimization and Control · Mathematics 2021-09-13 Davide Liuzza , Paolo Falcone , Massimo Tipaldi , Luigi Glielmo
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