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Modeling dynamical biological systems is key for understanding, predicting, and controlling complex biological behaviors. Traditional methods for identifying governing equations, such as ordinary differential equations (ODEs), typically…

Molecular Networks · Quantitative Biology 2024-12-23 Hanna Krasowski , Eric Palanques-Tost , Calin Belta , Murat Arcak

The integration of cyber-physical systems (CPS) into everyday life raises the critical necessity of ensuring their safety and reliability. An important step in this direction is requirement mining, i.e. inferring formally specified system…

Machine Learning · Computer Science 2024-05-24 Gaia Saveri , Luca Bortolussi

We present a general framework for risk semantics on Signal Temporal Logic (STL) specifications for stochastic dynamical systems using axiomatic risk theory. We show that under our recursive risk semantics, risk constraints on STL formulas…

Systems and Control · Electrical Eng. & Systems 2020-06-02 Sleiman Safaoui , Lars Lindemann , Dimos V Dimarogonas , Iman Shames , Tyler H Summers

We propose a new robustness score for continuous-time Signal Temporal Logic (STL) specifications. Instead of considering only the most severe point along the evolution of the signal, we use average scores to extract more information from…

Formal Languages and Automata Theory · Computer Science 2019-09-04 Noushin Mehdipour , Cristian-Ioan Vasile , Calin Belta

This paper presents a spatiotemporal tube (STT)-based control framework for satisfying Signal Temporal Logic (STL) specifications in unknown control-affine systems. We formulate STL constraints as a robust optimization problem (ROP) and…

Systems and Control · Electrical Eng. & Systems 2025-12-05 Ratnangshu Das , Subhodeep Choudhury , Pushpak Jagtap

Many safety-critical systems must achieve high-level task specifications with guaranteed safety and correctness. Much recent progress towards this goal has been made through controller synthesis from signal temporal logic (STL)…

Robotics · Computer Science 2018-10-23 Rafael Rodrigues da Silva , Hai Lin

In this paper, we propose a neuro-symbolic framework called weighted Signal Temporal Logic Neural Network (wSTL-NN) that combines the characteristics of neural networks and temporal logics. Weighted Signal Temporal Logic (wSTL) formulas are…

Machine Learning · Computer Science 2021-04-13 Ruixuan Yan , Agung Julius

Formal methods provide very powerful tools and techniques for the design and analysis of complex systems. Their practical application remains however limited, due to the widely accepted belief that formal methods require extensive expertise…

Computation and Language · Computer Science 2022-03-25 Jie He , Ezio Bartocci , Dejan Ničković , Haris Isakovic , Radu Grosu

We investigate the task and motion planning problem for Signal Temporal Logic (STL) specifications in robotics. Existing STL methods rely on pre-defined maps or mobility representations, which are ineffective in unstructured real-world…

Robotics · Computer Science 2026-03-03 Bowen Ye , Junyue Huang , Yang Liu , Xiaozhen Qiao , Xiang Yin

Formulating the intended behavior of a dynamic system can be challenging. Signal temporal logic (STL) is frequently used for this purpose due to its suitability in formalizing comprehensible, modular, and versatile spatiotemporal…

Systems and Control · Electrical Eng. & Systems 2025-03-04 Patrick Halder , Hannes Homburger , Lothar Kiltz , Johannes Reuter , Matthias Althoff

Temporal logic inference is the process of extracting formal descriptions of system behaviors from data in the form of temporal logic formulas. The existing temporal logic inference methods mostly neglect uncertainties in the data, which…

Artificial Intelligence · Computer Science 2021-06-01 Nasim Baharisangari , Jean-Raphaël Gaglione , Daniel Neider , Ufuk Topcu , Zhe Xu

Real-world robotic systems must comply with safety requirements in the presence of uncertainty. To define and measure requirement adherence, Signal Temporal Logic (STL) offers a mathematically rigorous and expressive language. However,…

Logic in Computer Science · Computer Science 2025-11-04 Elizabeth Dietrich , Hanna Krasowski , Emir Cem Gezer , Roger Skjetne , Asgeir Johan Sørensen , Murat Arcak

We study feedback motion planning for continuous-time stochastic nonlinear systems under signal temporal logic (STL) specifications. We propose a framework that synthesizes control policies for chance-constrained STL trajectory optimization…

Robotics · Computer Science 2026-05-05 Liqian Ma , Zishun Liu , Glen Chou , Yongxin Chen

Signal temporal logic (STL) provides a powerful, flexible framework for specifying complex autonomy tasks; however, existing methods for planning based on STL specifications have difficulty scaling to long-horizon tasks and are not robust…

Robotics · Computer Science 2022-03-07 Charles Dawson , Chuchu Fan

Linear Temporal Logic (LTL) is a widely used task specification language for autonomous systems. To mitigate the significant manual effort and expertise required to define LTL-encoded tasks, several methods have been proposed for…

Computation and Language · Computer Science 2026-02-23 David Smith Sundarsingh , Jun Wang , Jyotirmoy V. Deshmukh , Yiannis Kantaros

This work presents a novel co-design strategy that integrates trajectory planning and control to handle STL-based tasks in autonomous robots. The method consists of two phases: $(i)$ learning spatio-temporal motion primitives to encapsulate…

Robotics · Computer Science 2025-07-28 Manas Sashank Juvvi , Tushar Dilip Kurne , Vaishnavi J , Shishir Kolathaya , Pushpak Jagtap

Signal Temporal Logic (STL) is a powerful framework for describing the complex temporal and logical behaviour of the dynamical system. Numerous studies have attempted to employ reinforcement learning to learn a controller that enforces STL…

Systems and Control · Electrical Eng. & Systems 2023-12-05 Naman Saxena , Gorantla Sandeep , Pushpak Jagtap

This letter aims to generate a continuous-time trajectory consisting of piecewise B\'ezier curves that satisfy signal temporal logic (STL) specifications with piecewise time-varying robustness. Our time-varying robustness is less…

Robotics · Computer Science 2024-10-01 Yating Yuan , Thanin Quartz , Jun Liu

Motion planning for autonomous vehicles often requires satisfying multiple conditionally conflicting specifications. In situations where not all specifications can be met simultaneously, minimum-violation motion planning maintains system…

Robotics · Computer Science 2026-04-23 Patrick Halder , Lothar Kiltz , Hannes Homburger , Johannes Reuter , Matthias Althoff

The software architecture behind modern autonomous vehicles (AV) is becoming more complex steadily. Safety verification is now an imminent task prior to the large-scale deployment of such convoluted models. For safety-critical tasks in…

Systems and Control · Electrical Eng. & Systems 2024-09-18 Aditya Parameshwaran , Yue Wang
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