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In this article we study linear temporal logics with team semantics (TeamLTL) that are novel logics for defining hyperproperties. We define Kamp-type translations of these logics into fragments of first-order team logic and second-order…

Logic in Computer Science · Computer Science 2021-10-22 Juha Kontinen , Max Sandström

We investigate the logical foundations of hyperproperties. Hyperproperties generalize trace properties, which are sets of traces, to sets of sets of traces. The most prominent application of hyperproperties is information flow security:…

Logic in Computer Science · Computer Science 2017-01-10 Bernd Finkbeiner , Martin Zimmermann

Alternating-time temporal logic (ATL$^*$) is a well-established framework for formal reasoning about multi-agent systems. However, while ATL$^*$ can reason about the strategic ability of agents (e.g., some coalition $A$ can ensure that a…

Artificial Intelligence · Computer Science 2024-03-13 Raven Beutner , Bernd Finkbeiner

We consider multi-robot systems under recurring tasks formalized as linear temporal logic (LTL) specifications. To solve the planning problem efficiently, we propose a bottom-up approach combining offline plan synthesis with online…

In this paper, we consider networks of static sensors with integrated sensing and communication capabilities. The goal of the sensors is to propagate their collected information to every other agent in the network and possibly a human…

Systems and Control · Electrical Eng. & Systems 2022-04-15 Hans Riess , Yiannis Kantaros , George Pappas , Robert Ghrist

Hyperproperties enable simultaneous reasoning about multiple execution traces of a system and are useful to reason about non-interference, opacity, robustness, fairness, observational determinism, etc. We introduce hyper parametric timed…

Formal Languages and Automata Theory · Computer Science 2024-08-01 Masaki Waga , Étienne André

To enable non-experts to specify long-horizon, multi-robot collaborative tasks, language models are increasingly used to translate natural language commands into formal specifications. However, because translation can occur in multiple…

Robotics · Computer Science 2024-12-06 Shaojun Xu , Xusheng Luo , Yutong Huang , Letian Leng , Ruixuan Liu , Changliu Liu

Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary…

Artificial Intelligence · Computer Science 2025-04-01 Mathias Jackermeier , Alessandro Abate

In this paper, we investigate the problem of synthesizing strategies for linear temporal logic (LTL) specifications that are interpreted over finite traces -- a problem that is central to the automated construction of controllers, robot…

Logic in Computer Science · Computer Science 2018-09-03 Alberto Camacho , Meghyn Bienvenu , Sheila A. McIlraith

This paper addresses planning problems for mobile robots. We consider missions that require accomplishing multiple high-level sub-tasks, expressed in natural language (NL), in a temporal and logical order. To formally define the mission, we…

Robotics · Computer Science 2025-09-18 Jun Wang , Jiaming Tong , Kaiyuan Tan , Yevgeniy Vorobeychik , Yiannis Kantaros

In this paper, we investigate the problem of planning an optimal infinite path for a single robot to achieve a linear temporal logic (LTL) task with security guarantee. We assume that the external behavior of the robot, specified by an…

Systems and Control · Electrical Eng. & Systems 2020-10-28 Shuo Yang , Xiang Yin , Shaoyuan Li , Majid Zamani

Hyperproperties are properties over sets of traces (or runs) of a system, as opposed to properties of just one trace. They were introduced in 2010 and have been much studied since, in particular via an extension of the temporal logic LTL…

Logic in Computer Science · Computer Science 2024-10-16 Nicolas Waldburger , Chana Weil-Kennedy , Pierre Ganty , César Sánchez

This paper presents a hybrid control framework for the motion planning of a multi-agent system including N robotic agents and M objects, under high level goals expressed as Linear Temporal Logic (LTL) formulas. In particular, we design…

Systems and Control · Computer Science 2018-03-06 Christos K. Verginis , Dimos V. Dimarogonas

We introduce and investigate a powerful hyper logical framework in the linear-time setting, we call generalized HyperLTL with stuttering and contexts (GHyperLTL_SC for short). GHyperLTL_SC unifies known asynchronous extensions of HyperLTL…

Logic in Computer Science · Computer Science 2024-10-03 Alberto Bombardelli , Laura Bozzelli , César Sánchez , Stefano Tonetta

Hyperproperties, as introduced by Clarkson and Schneider, characterize the correctness of a computer program as a condition on its set of computation paths. Standard temporal logics can only refer to a single path at a time, and therefore…

Logic in Computer Science · Computer Science 2013-07-01 Bernd Finkbeiner , Markus N. Rabe , César Sánchez

We study the expressivity and complexity of model checking linear temporal logic with team semantics (TeamLTL). TeamLTL, despite being a purely modal logic, is capable of defining hyperproperties, i.e., properties which relate multiple…

Logic in Computer Science · Computer Science 2021-11-24 Jonni Virtema , Jana Hofmann , Bernd Finkbeiner , Juha Kontinen , Fan Yang

Recent advancements have significantly enhanced the performance of large language models (LLMs) in tackling complex reasoning tasks, achieving notable success in domains like mathematical and logical reasoning. However, these methods…

Artificial Intelligence · Computer Science 2025-05-30 Runquan Gui , Zhihai Wang , Jie Wang , Chi Ma , Huiling Zhen , Mingxuan Yuan , Jianye Hao , Defu Lian , Enhong Chen , Feng Wu

We present a novel asynchronous hyper linear time temporal logic named LPrL (Linear Time Predicate Logic) and establish its basic theory. LPrL is a natural first order extension of LTL (Linear time temporal logic), in which the predicates…

Logic in Computer Science · Computer Science 2026-01-22 Parasara Sridhar Duggirala , P. S. Thiagarajan

This paper investigates the planning and control problems for multi-robot systems under linear temporal logic (LTL) specifications. In contrast to most of existing literature, which presumes a static and known environment, our study focuses…

Robotics · Computer Science 2023-07-13 Pian Yu , Gianmarco Fedeli , Dimos V. Dimarogonas

We introduce a technique for synthesis of control and communication strategies for a team of agents from a global task specification given as a Linear Temporal Logic (LTL) formula over a set of properties that can be satisfied by the…

Robotics · Computer Science 2011-11-10 Yushan Chen , Xu Chu Ding , Calin Belta