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In this paper, we consider the problem of controller design using approximately bisimilar abstractions with an emphasis on safety and reachability specifications. We propose abstraction-based approaches to solve both classes of problems. We…

Systems and Control · Computer Science 2011-06-17 Antoine Girard

We propose an automated verification technique for hypersafety properties, which express sets of valid interrelations between multiple finite runs of a program. The key observation is that constructing a proof for a small representative set…

Programming Languages · Computer Science 2019-05-23 Azadeh Farzan , Anthony Vandikas

Program synthesis from incomplete specifications (e.g. input-output examples) has gained popularity and found real-world applications, primarily due to its ease-of-use. Since this technology is often used in an interactive setting,…

Programming Languages · Computer Science 2017-03-13 Vu Le , Daniel Perelman , Oleksandr Polozov , Mohammad Raza , Abhishek Udupa , Sumit Gulwani

We present an abstraction and refinement methodology for the automated controller synthesis to enforce general predefined specifications. The designed controllers require quantized (or symbolic) state information only and can be interfaced…

Optimization and Control · Mathematics 2017-09-21 Gunther Reissig , Alexander Weber , Matthias Rungger

We investigate the problem of parameter synthesis for time Petri nets with a cost variable that evolves both continuously with time, and discretely when firing transitions. More precisely, parameters are rational symbolic constants used for…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Didier Lime , Olivier H. Roux , Charlotte Seidner

We consider the parameter synthesis problem of parametric timed automata (PTAs). The problem is, given a PTA and a property, to compute the set of valuations of the parameters under which the resulting timed automaton satisfies the…

Systems and Control · Computer Science 2018-11-01 Liyun Dai , Bo Liu , Zhiming Liu , and

Formal methods apply algorithms based on mathematical principles to enhance the reliability of systems. It would only be natural to try to progress from verification, model checking or testing a system against its formal specification into…

Software Engineering · Computer Science 2014-02-28 Gal Katz , Doron Peled

It has gained broad attention to understand the timed distributed trace of a cyber-physical system at runtime, which is often achieved by verifying properties over the observed trace of system execution. However, this verification is facing…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-08-04 Yiling Yang , Yu Huang , Jiannong Cao , Jian Lu

We present a new domain-agnostic synthesis technique for generating programs from input-output examples. Our method, called metric program synthesis, relaxes the well-known observational equivalence idea (used widely in bottom-up…

Programming Languages · Computer Science 2022-10-12 John Feser , Isil Dillig , Armando Solar-Lezama

Software implementations of controllers for physical systems are at the core of many embedded systems. The design of controllers uses the theory of dynamical systems to construct a mathematical control law that ensures that the controlled…

Systems and Control · Computer Science 2012-04-16 Rupak Majumdar , Indranil Saha , Majid Zamani

Abstraction of a continuous-space model into a finite state and input dynamical model is a key step in formal controller synthesis tools. To date, these software tools have been limited to systems of modest size (typically $\leq$ 6…

Systems and Control · Computer Science 2018-01-29 Felix Gruber , Eric S. Kim , Murat Arcak

Precisely modeling complex systems like cyber-physical systems is challenging, which often render model-based system verification techniques like model checking infeasible. To overcome this challenge, we propose a method called LAR to…

Software Engineering · Computer Science 2019-11-21 Jingyi Wang , Jun Sun , Shengchao Qin , Cyrille Jegourel

Bounded model checking is among the most efficient techniques for the automatic verification of concurrent programs. However, encoding all possible interleavings often requires a huge and complex formula, which significantly limits the…

Programming Languages · Computer Science 2018-04-04 Liangze Yin , Wei Dong , Wanwei Liu , Ji Wang

As a new programming paradigm, deep neural networks (DNNs) have been increasingly deployed in practice, but the lack of robustness hinders their applications in safety-critical domains. While there are techniques for verifying DNNs with…

Software Engineering · Computer Science 2022-07-05 Jiaxiang Liu , Yunhan Xing , Xiaomu Shi , Fu Song , Zhiwu Xu , Zhong Ming

In Petri net synthesis we ask whether a given transition system $A$ can be implemented by a Petri net $N$. Depending on the level of accuracy, there are three ways how $N$ can implement $A$: an embedding, the least accurate implementation,…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Raymond Devillers , Ronny Tredup

Automated synthesis of reactive systems from specifications has been a topic of research for decades. Recently, a variety of approaches have been proposed to extend synthesis of reactive systems from proposi- tional specifications towards…

Software Engineering · Computer Science 2018-03-23 Andreas Katis , Grigory Fedyukovich , Huajun Guo , Andrew Gacek , John Backes , Arie Gurfinkel , Michael W. Whalen

We study the synthesis problem for distributed architectures with a parametric number of finite-state components. Parameterized specifications arise naturally in a synthesis setting, but thus far it was unclear how to detect realizability…

Logic in Computer Science · Computer Science 2015-07-01 Swen Jacobs , Roderick Bloem

We propose a new abstract formalism for probabilistic timed systems, Parametric Interval Probabilistic Timed Automata, based on an extension of Parametric Timed Automata and Interval Markov Chains. In this context, we consider the…

Formal Languages and Automata Theory · Computer Science 2019-06-13 Étienne André , Benoît Delahaye , Paulin Fournier

Program synthesis aims to automatically generate an executable program that conforms to the given specification. Recent advancements have demonstrated that deep neural methodologies and large-scale pretrained language models are highly…

Robotics · Computer Science 2023-12-14 Tianyi Chen , Qidi Wang , Zhen Dong , Liwei Shen , Xin Peng

We consider the problem of type-directed component based synthesis where, given a set of (typed) components and a query type, the goal is to synthesize a term that inhabits the query. Classical approaches based on proof search in…

Programming Languages · Computer Science 2022-04-01 Zheng Guo , Michael James , David Justo , Jiaxiao Zhou , Ziteng Wang , Ranjit Jhala , Nadia Polikarpova