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The use of formal analysis tools on models or source code often requires the availability of auxiliary invariants about the studied system. Abstract interpretation is currently one of the best approaches to discover useful invariants,…

Logic in Computer Science · Computer Science 2015-03-20 Pierre-Loïc Garoche , Temesghen Kahsai , Cesare Tinelli

We model collapsible and ordered pushdown systems with term rewriting, by encoding higher-order stacks and multiple stacks into trees. We show a uniform inverse preservation of recognizability result for the resulting class of term…

Formal Languages and Automata Theory · Computer Science 2014-10-16 Lorenzo Clemente

Memory safety is an essential correctness property of software systems. For programs operating on linked heap-allocated data structures, the problem of proving memory safety boils down to analyzing the possible shapes of data structures,…

Programming Languages · Computer Science 2024-08-20 Sebastian Wolff , Ekanshdeep Gupta , Zafer Esen , Hossein Hojjat , Philipp Rümmer , Thomas Wies

This paper introduces the concept of abstracted model reduction: a framework to improve the tractability of structure-preserving methods for the complexity reduction of interconnected system models. To effectively reduce high-order,…

Systems and Control · Electrical Eng. & Systems 2024-11-21 Luuk Poort , Lars A. L. Janssen , Bart Besselink , Rob H. B. Fey , Nathan van de Wouw

Asynchronous inference has emerged as a prevalent paradigm in robotic manipulation, achieving significant progress in ensuring trajectory smoothness and efficiency. However, a systemic challenge remains unresolved, as inherent latency…

Robotics · Computer Science 2026-04-14 Haoyu Wei , Xiuwei Xu , Ziyang Cheng , Hang Yin , Angyuan Ma , Bingyao Yu , Jie Zhou , Jiwen Lu

Generative models based on flow matching have emerged as a powerful paradigm for inverse problems, offering straighter trajectories and faster sampling compared to diffusion models. However, existing approaches often necessitate…

Machine Learning · Computer Science 2026-05-13 Zehua Jiang , Fenghao Zhu , Xinquan Wang , Chongwen Huang , Zhaoyang Zhang

Interprocedural data-flow analyses form an expressive and useful paradigm of numerous static analysis applications, such as live variables analysis, alias analysis and null pointers analysis. The most widely-used framework for…

Data Structures and Algorithms · Computer Science 2020-04-16 Krishnendu Chatterjee , Amir Kafshdar Goharshady , Rasmus Ibsen-Jensen , Andreas Pavlogiannis

The reachability analysis of recursive programs that communicate asynchronously over reliable FIFO channels calls for restrictions to ensure decidability. Our first result characterizes communication topologies with a decidable reachability…

Logic in Computer Science · Computer Science 2015-07-01 Alexander Heussner , Jérôme Leroux , Anca Muscholl , Grégoire Sutre

Boolean programs with multiple recursive threads can be captured as pushdown automata with multiple stacks. This model is Turing complete, and hence, one is often interested in analyzing a restricted class that still captures useful…

Formal Languages and Automata Theory · Computer Science 2020-05-06 S. Akshay , Paul Gastin , S Krishna , Sparsa Roychowdhury

This work presents mixed variational flows (MixFlows), a new variational family that consists of a mixture of repeated applications of a map to an initial reference distribution. First, we provide efficient algorithms for i.i.d. sampling,…

Machine Learning · Statistics 2025-06-03 Zuheng Xu , Naitong Chen , Trevor Campbell

Abstraction is key to scaling up reinforcement learning (RL). However, autonomously learning abstract state and action representations to enable transfer and generalization remains a challenging open problem. This paper presents a novel…

Artificial Intelligence · Computer Science 2024-12-24 Rashmeet Kaur Nayyar , Siddharth Srivastava

Context: Reynolds showed us how to use continuation-passing style and defunctionalization to transform a recursive interpreter for a language into an abstract machine for programs in that language. The same techniques explain other…

Programming Languages · Computer Science 2021-11-23 Jeremy Gibbons

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

Despite growing interest in process analysis and mining for data-aware specifications, alignment-based conformance checking for declarative process models has focused on pure control-flow specifications, or mild data-aware extensions…

Heap data is potentially unbounded and seemingly arbitrary. As a consequence, unlike stack and static memory, heap memory cannot be abstracted directly in terms of a fixed set of source variable names appearing in the program being…

Programming Languages · Computer Science 2016-07-05 Vini Kanvar , Uday P. Khedker

As groundwater is an essential nutrition and irrigation resource, its pollution may lead to catastrophic consequences. Therefore, accurate modeling of the pollution of the soil and groundwater aquifer is highly important. As a model, we…

Numerical Analysis · Mathematics 2019-06-13 Alexander Litvinenko , Dmitry Logashenko , Raul Tempone , Gabriel Wittum , David Keyes

Automated techniques for rigorous floating-point round-off error analysis are important in areas including formal verification of correctness and precision tuning. Existing tools and techniques, while providing tight bounds, fail to analyze…

Programming Languages · Computer Science 2020-07-03 Arnab Das , Ian Briggs , Ganesh Gopalakrishnan , Pavel Panchekha , Sriram Krishnamoorthy

Reinforcement learning (RL) has shown promise in solving various combinatorial optimization problems. However, conventional RL faces challenges when dealing with complex, real-world constraints, especially when action space feasibility is…

Machine Learning · Computer Science 2025-08-12 Jaike van Twiller , Yossiri Adulyasak , Erick Delage , Djordje Grbic , Rune Møller Jensen

This paper proposes a method to compute finite abstractions that can be used for synthesizing robust hybrid control strategies for nonlinear systems. Most existing methods for computing finite abstractions utilize some global, analytical…

Systems and Control · Computer Science 2015-07-23 Yinan Li , Jun Liu , Necmiye Ozay

We present abstract acceleration techniques for computing loop invariants for numerical programs with linear assignments and conditionals. Whereas abstract interpretation techniques typically over-approximate the set of reachable states…

Programming Languages · Computer Science 2014-01-07 Bertrand Jeannet , Peter Schrammel , Sriram Sankaranarayanan