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Temporal stream logic (TSL) extends LTL with updates and predicates over arbitrary function terms. This allows for specifying data-intensive systems for which LTL is not expressive enough. In the semantics of TSL, functions and predicates…

Logic in Computer Science · Computer Science 2022-01-26 Bernd Finkbeiner , Philippe Heim , Noemi Passing

In this paper we focus on the problem of decomposing a global Signal Temporal Logic formula (STL) assigned to a multi-agent system to local STL tasks when the team of agents is a-priori decomposed to disjoint sub-teams. The predicate…

Systems and Control · Electrical Eng. & Systems 2021-03-11 Maria Charitidou , Dimos V. Dimarogonas

There are spatio-temporal rules that dictate how robots should operate in complex environments, e.g., road rules govern how (self-driving) vehicles should behave on the road. However, seamlessly incorporating such rules into a robot control…

Robotics · Computer Science 2022-02-07 Karen Leung , Marco Pavone

Signal Temporal Logic (STL) is a convenient formalism to express bounded horizon properties of autonomous critical systems. STL extends LTL to real-valued signals and associates a non-singleton bound interval to each temporal operators. In…

Logic in Computer Science · Computer Science 2023-11-17 Céline Bellanger , Pierre-Loïc Garoche , Matthieu Martel , Célia Picard

This paper addresses the planning and control problem for nonlinear systems under Signal Temporal Logic (STL) specifications. We first decompose an STL task into finite local tasks. A sampling-based method generates sequences of local…

Systems and Control · Electrical Eng. & Systems 2026-04-28 Zuodong Pan , Xu Fang , Wei Ren

Reactive systems that operate in environments with complex data, such as mobile apps or embedded controllers with many sensors, are difficult to synthesize. Synthesis tools usually fail for such systems because the state space resulting…

Logic in Computer Science · Computer Science 2019-05-09 Bernd Finkbeiner , Felix Klein , Ruzica Piskac , Mark Santolucito

We present a systematic study on a class of nonlocal integral functionals for functions defined on a bounded domain and the naturally induced function spaces. The function spaces are equipped with a seminorm depending on finite differences…

Analysis of PDEs · Mathematics 2023-07-19 James M. Scott , Qiang Du

Signal Temporal Logic (STL) has emerged as an expressive language for reasoning intricate planning objectives. However, existing STL-based methods often assume full observation and known dynamics, which imposes constraints on real-world…

Robotics · Computer Science 2025-08-27 Peiran Liu , Yiting He , Yihao Qin , Hang Zhou , Yiding Ji

We propose an interval extension of Signal Temporal Logic (STL) called Interval Signal Temporal Logic (\ISTL). Given an STL formula, we consider an interval inclusion function for each of its predicates. Then, we use minimal inclusion…

Systems and Control · Electrical Eng. & Systems 2023-12-13 Luke Baird , Akash Harapanahalli , Samuel Coogan

We give a necessary and sufficient condition for non-local functionals on vector-valued Lebesgue spaces to be weakly sequentially lower semi-continuous. Here a non-local functional shall have the form of a double integral of a density which…

Functional Analysis · Mathematics 2011-04-15 Peter Elbau

Signal Temporal Logic (STL) is an efficient technique for describing temporal constraints. It can play a significant role in robotic manipulation, for example, to optimize the robot performance according to task-dependent metrics. In this…

Robotics · Computer Science 2021-10-04 Akshay Dhonthi , Philipp Schillinger , Leonel Rozo , Daniele Nardi

We study certain classes of local sets of the two-dimensional Gaussian free field (GFF) in a simply-connected domain, and their relation to the conformal loop ensemble CLE(4) and its variants. More specifically, we consider bounded-type…

Probability · Mathematics 2020-02-14 Juhan Aru , Avelio Sepúlveda , Wendelin Werner

Stochastic resonance (SR) - a counter-intuitive phenomenon in which the signal due to a weak periodic force in a nonlinear system can be {\it enhanced} by the addition of external noise - is reviewed. A theoretical approach based on linear…

In the weakly supervised learning paradigm, labeling functions automatically assign heuristic, often noisy, labels to data samples. In this work, we provide a method for learning from weak labels by separating two types of complementary…

Machine Learning · Computer Science 2022-10-26 Andreas Stephan , Vasiliki Kougia , Benjamin Roth

In this paper, we investigate the controller design problem for linear disturbed systems under signal temporal logic (STL) specifications imposing both spatial and temporal constraints on system behavior. We first implement zonotope-based…

Systems and Control · Electrical Eng. & Systems 2021-10-18 Wei Ren , Raphael Jungers

Time-series data can represent the behaviors of autonomous systems, such as drones and self-driving cars. The task of binary and multi-class classification for time-series data has become a prominent area of research. Neural networks…

Machine Learning · Statistics 2024-06-26 Danyang Li , Roberto Tron

The local regularity of functional time series is studied under $L^p-m-$appro\-ximability assumptions. The sample paths are observed with error at possibly random design points. Non-asymptotic concentration bounds of the regularity…

Statistics Theory · Mathematics 2024-03-21 Hassan Maissoro , Valentin Patilea , Myriam Vimond

In sequential decision-making problems, Return-Conditioned Supervised Learning (RCSL) has gained increasing recognition for its simplicity and stability in modern decision-making tasks. Unlike traditional offline reinforcement learning (RL)…

Machine Learning · Computer Science 2025-06-11 Zhishuai Liu , Yu Yang , Ruhan Wang , Pan Xu , Dongruo Zhou

Property Specification Language (PSL) is a form of temporal logic that has been mainly used in discrete domains (e.g. formal hardware verification). In this paper, we show that by merging machine learning techniques with PSL monitors, we…

Machine Learning · Computer Science 2022-05-30 Kevin Smith , Hai Lin , Praveen Tiwari , Marjorie Sayer , Claudionor Coelho

A functional limit theorem is established for the partial-sum process of a class of stationary sequences which exhibit both heavy tails and long-range dependence. The stationary sequence is constructed using multiple stochastic integrals…

Probability · Mathematics 2020-04-09 Shuyang Bai , Takashi Owada , Yizao Wang
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