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In concurrent verification, separation logic provides a strong story for handling both resources that are owned exclusively and resources that are shared persistently (i.e., forever). However, the situation is more complicated for…

Logic in Computer Science · Computer Science 2023-09-12 Travis Hance , Jon Howell , Oded Padon , Bryan Parno

Reachability analysis has been a prominent way to provide safety guarantees for neurally controlled autonomous systems, but its direct application to neural perception components is infeasible due to imperfect or intractable perception…

Systems and Control · Electrical Eng. & Systems 2026-04-27 Yuang Geng , Thomas Waite , Trevor Turnquist , Radoslav Ivanov , Ivan Ruchkin

For over two decades Separation Logic has been arguably the most popular framework for reasoning about heap-manipulating programs, as well as reasoning about shared resources and permissions. Separation Logic is often extended to include…

Logic in Computer Science · Computer Science 2025-12-05 Neta Elad , Adithya Murali , Sharon Shoham

We develop a unifying framework for the treatment of various persistent homology architectures using the notion of correspondence modules. In this formulation, morphisms between vector spaces are given by partial linear relations, as…

Algebraic Topology · Mathematics 2021-06-01 Haibin Hang , Washington Mio

Detectability describes the property of a system whose current and the subsequent states can be uniquely determined after a finite number of observations. In this paper, we developed a novel approach to verifying strong detectability and…

Systems and Control · Computer Science 2019-03-25 Hao Lan , Yin Tong , Carla Seatzu , Jin Guo

Verifying multi-threaded programs is becoming more and more important, because of the strong trend to increase the number of processing units per CPU socket. We introduce a new configurable program analysis for verifying multi-threaded…

Logic in Computer Science · Computer Science 2016-12-23 Dirk Beyer , Karlheinz Friedberger

Model checkers use automated state exploration in order to prove various properties such as reachability, non-reachability, and bisimulation over state transition systems. While model checkers have proved valuable for locating errors in…

Logic in Computer Science · Computer Science 2015-08-03 Quentin Heath , Dale Miller

This paper presents a specification-guided safety verification method for feedforward neural networks with general activation functions. As such feedforward networks are memoryless, they can be abstractly represented as mathematical…

Machine Learning · Computer Science 2018-12-18 Weiming Xiang , Hoang-Dung Tran , Taylor T. Johnson

Separation logic is a Hoare-style logic for reasoning about programs with heap-allocated mutable data structures. As a step toward extending separation logic to high-level languages with ML-style general (higher-order) storage, we…

Logic in Computer Science · Computer Science 2015-07-01 Jan Schwinghammer , Lars Birkedal , Bernhard Reus , Hongseok Yang

Incorrectness Separation Logic (ISL) is a proof system designed to automate verification and detect bugs in programs manipulating heap memories. In this study, we extend ISL to support variable-length array predicates and pointer…

Logic in Computer Science · Computer Science 2025-03-04 Yeonseok Lee , Koji Nakazawa

In the real world a graph is often fragmented and distributed across different sites. This highlights the need for evaluating queries on distributed graphs. This paper proposes distributed evaluation algorithms for three classes of queries:…

Databases · Computer Science 2012-08-02 Wenfei Fan , Xin Wang , Yinghui Wu

Current static verification techniques support a wide range of programs. However, such techniques only support complete and detailed specifications, which places an undue burden on users. To solve this problem, prior work proposed gradual…

Foundational verification considers the functional correctness of programming languages with formalized semantics and uses proof assistants (e.g., Coq, Isabelle) to certify proofs. The need for verifying complex programs compels it to…

Programming Languages · Computer Science 2025-07-08 Qiyuan Xu , David Sanan , Zhe Hou , Xiaokun Luan , Conrad Watt , Yang Liu

Reachability in hypergraphs is essential for modeling complex groupwise interactions in real-world applications such as co-authorship, social network, and biological analysis, where relationships go beyond pairwise interactions. In this…

Databases · Computer Science 2025-12-30 Peiting Xie , Xiangjun Zai , Yanping Wu , Xiaoyang Wang , Wenjie Zhang , Lu Qin

Deductive verification of hybrid systems (HSs) increasingly attracts more attention in recent years because of its power and scalability, where a powerful specification logic for HSs is the cornerstone. Often, HSs are naturally modelled by…

Logic in Computer Science · Computer Science 2024-07-16 Naijun Zhan , Xiangyu Jin , Bohua Zhan , Shuling Wang , Dimitar Guelev

Proving correctness of distributed or concurrent algorithms is a mind-challenging and complex process. Slight errors in the reasoning are difficult to find, calling for computer-checked proof systems. In order to build computer-checked…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-11-21 Armando Castañeda , Aurélie Hurault , Philippe Quéinnec , Matthieu Roy

The volume and diversity of digital information have led to a growing reliance on Machine Learning techniques, such as Natural Language Processing, for interpreting and accessing appropriate data. While vector and graph embeddings represent…

Computation and Language · Computer Science 2025-07-08 Oliver Robert Fox , Giacomo Bergami , Graham Morgan

The monitoring of rotating machinery is an essential task in today's production processes. Currently, several machine learning and deep learning-based modules have achieved excellent results in fault detection and diagnosis. Nevertheless,…

Artificial Intelligence · Computer Science 2021-02-24 Lucas Costa Brito , Gian Antonio Susto , Jorge Nei Brito , Marcus Antonio Viana Duarte

One of the most important problems in hybrid systems is the {\em reachability problem}. The reachability problem has been shown to be undecidable even for a subclass of {\em linear} hybrid systems. In view of this, the main focus in the…

Logic in Computer Science · Computer Science 2009-09-29 D. Ravi , R. K. Shyamasundar

Given two families of sets $\mathcal{F}$ and $\mathcal{G}$, the $\mathcal{F}$ separability problem for $\mathcal{G}$ asks whether for two given sets $U, V \in \mathcal{G}$ there exists a set $S \in \mathcal{F}$, such that $U$ is included in…

Formal Languages and Automata Theory · Computer Science 2016-09-02 Lorenzo Clemente , Wojciech Czerwiński , Sławomir Lasota , Charles Paperman
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