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Scalable and automatic formal verification for concurrent systems is always demanding. In this paper, we propose a verification framework to support automated compositional reasoning for concurrent programs with shared variables. Our…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Fuyuan Zhang , Yongwang Zhao , David Sanan , Yang Liu , Alwen Tiu , Shang-Wei Lin , Jun Sun

In this paper, we first introduce a lower bound technique for the state complexity of transformations of automata. Namely we suggest first considering the class of full automata in lower bound analysis, and later reducing the size of the…

Logic in Computer Science · Computer Science 2015-07-01 Qiqi Yan

Complementation of finite automata is a basic operation used in numerous applications. The standard way to complement a nondeterministic finite automaton (NFA) is to transform it into an equivalent deterministic finite automaton (DFA) and…

Formal Languages and Automata Theory · Computer Science 2025-07-16 Lukáš Holík , Ondřej Lengál , Juraj Major , Adéla Štěpková , Jan Strejček

The authors propose new additive models for binary outcomes, where the components are copula-based regression models (Noh et al, 2013), and designed such that the model may capture potentially complex interaction effects. The models do not…

Methodology · Statistics 2024-10-22 Simon Boge Brant , Ingrid Hobæk Haff

Symbolic automata are finite state automata that support potentially infinite alphabets, such as the set of rational numbers, generally applied to regular expressions/languages over finite words. In symbolic automata (or automata modulo…

Formal Languages and Automata Theory · Computer Science 2023-10-05 Margus Veanes , Thomas Ball , Gabriel Ebner , Olli Saarikivi

Composition technologies improve reuse in the development of large-scale complex systems. Safety critical systems require intensive validation and verification activities. These activities should be compositional in order to reduce the…

Software Engineering · Computer Science 2014-04-04 Mounira Kezadri Hamiaz , Marc Pantel , Benoît Combemale , Xavier Thirioux

Software testing plays a critical role in ensuring that systems behave as intended. However, existing automated testing approaches struggle to match the capabilities of human engineers due to key limitations such as test locality, lack of…

Software Engineering · Computer Science 2025-06-16 Kangping Xu , Yifan Luo , Yang Yuan , Andrew Chi-Chih Yao

Alternating automata have been widely used to model and verify systems that handle data from finite domains, such as communication protocols or hardware. The main advantage of the alternating model of computation is that complementation is…

Formal Languages and Automata Theory · Computer Science 2017-08-17 Radu Iosif , Xiao Xu

Automation systems exist in many variants and may evolve over time in order to deal with different environment contexts or to fulfill changing customer requirements. This induces an increased complexity during design-time as well as tedious…

Software Engineering · Computer Science 2016-04-04 Matthias Kowal , Ina Schaefer

Most software verification tools can be classified into one of a number of established families, each of which has their own focus and strengths. For example, concrete counterexample generation in model checking, invariant inference in…

Logic in Computer Science · Computer Science 2015-06-30 Martin Brain , Saurabh Joshi , Daniel Kroening , Peter Schrammel

Bounded model checking (BMC) is a well-known and successful technique for finding bugs in software. k-induction is an approach to extend BMC-based approaches from falsification to verification. Automatically generated auxiliary invariants…

Software Engineering · Computer Science 2015-02-03 Dirk Beyer , Matthias Dangl , Philipp Wendler

A large number of different model checking approaches has been proposed during the last decade. The different approaches are applicable to different model types including untimed, timed, probabilistic and stochastic models. This paper…

Logic in Computer Science · Computer Science 2007-05-23 Peter Buchholz , Peter Kemper

The problem of model-checking hybrid systems is a long-time challenge in the scientific community. Most of the existing approaches and tools are either limited on the properties that they can verify, or restricted to simplified classes of…

Logic in Computer Science · Computer Science 2013-07-18 Davide Bresolin

We introduce Symbolic Alternating Finite Automata (s-AFA) as an expressive, succinct, and decidable model for describing sets of finite sequences over arbitrary alphabets. Boolean operations over s-AFAs have linear complexity, which is in…

Formal Languages and Automata Theory · Computer Science 2016-10-07 Loris D'Antoni , Zachary Kincaid , Fang Wang

The notion of comparison between system runs is fundamental in formal verification. This concept is implicitly present in the verification of qualitative systems, and is more pronounced in the verification of quantitative systems. In this…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Suguman Bansal , Swarat Chaudhuri , Moshe Y. Vardi

The problem of mating two parts with low clearance remains difficult for autonomous robots. We present bi-level belief assembly (BILBA), a model-based planner that computes a sequence of compliant motions which can leverage contact with the…

Robotics · Computer Science 2024-09-25 Sahit Chintalapudi , Leslie Kaelbling , Tomas Lozano-Perez

The model-checking problem for hybrid systems is a well known challenge in the scientific community. Most of the existing approaches and tools are limited to safety properties only, or operates by transforming the hybrid system to be…

Logic in Computer Science · Computer Science 2013-08-27 Davide Bresolin

Complementation of B\"uchi automata has been studied for over five decades since the formalism was introduced in 1960. Known complementation constructions can be classified into Ramsey-based, determinization-based, rank-based, and…

Formal Languages and Automata Theory · Computer Science 2015-07-01 Ming-Hsien Tsai , Seth Fogarty , Moshe Y. Vardi , Yih-Kuen Tsay

Ensuring that autonomous space robot control software behaves as it should is crucial, particularly as software failure in space often equates to mission failure and could potentially endanger nearby astronauts and costly equipment. To…

Extensive testing is necessary to ensure the safety of autonomous driving modules. In addition to component tests, the safety assessment of individual modules also requires a holistic view at system level, which can be carried out…

Robotics · Computer Science 2024-02-20 Gemb Kaljavesi , Tobias Kerbl , Tobias Betz , Kirill Mitkovskii , Frank Diermeyer