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Executing complex manipulation in cluttered environments requires satisfying coupled geometric and temporal constraints. Although Spatio-Temporal Logic (SpaTiaL) offers a principled specification framework, its use in gradient-based…

Robotics · Computer Science 2026-04-09 Licheng Luo , Kaier Liang , Cristian-Ioan Vasile , Mingyu Cai

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

This paper proposes an optimization-based task and motion planning framework, named "Logic Network Flow", to integrate signal temporal logic (STL) specifications into efficient mixed-binary linear programmings. In this framework, temporal…

Robotics · Computer Science 2025-10-02 Xuan Lin , Jiming Ren , Samuel Coogan , Ye Zhao

Recent advances in metric, semantic, and topological mapping have equipped autonomous robots with semantic concept grounding capabilities to interpret natural language tasks. This work aims to leverage these new capabilities with an…

Task and motion planning problems in robotics combine symbolic planning over discrete task variables with motion optimization over continuous state and action variables. Recent works such as PDDLStream have focused on optimistic planning…

Robotics · Computer Science 2023-08-24 Mohamed Khodeir , Ben Agro , Florian Shkurti

Recent advances in robot skill learning have unlocked the potential to construct task-agnostic skill libraries, facilitating the seamless sequencing of multiple simple manipulation primitives (aka. skills) to tackle significantly more…

Robotics · Computer Science 2024-07-18 Teng Xue , Amirreza Razmjoo , Suhan Shetty , Sylvain Calinon

Signal Temporal Logic (STL) is a formal language over continuous-time signals (such as trajectories of a multi-agent system) that allows for the specification of complex spatial and temporal system requirements (such as staying sufficiently…

Robotics · Computer Science 2023-10-17 Joris Verhagen , Lars Lindemann , Jana Tumova

We aim to enable an autonomous robot to learn new skills from demo videos and use these newly learned skills to accomplish non-trivial high-level tasks. The goal of developing such autonomous robot involves knowledge representation,…

Artificial Intelligence · Computer Science 2020-07-17 Zhiyu Liu , Meng Jiang , Hai Lin

This study proposes a Task and Motion Planning (TAMP) method with symbolic decisions embedded in a bilevel optimization. This TAMP method exploits the discrete structure of sequential manipulation for long-horizon and versatile tasks in…

Robotics · Computer Science 2020-10-27 Zhigen Zhao , Ziyi Zhou , Michael Park , Ye Zhao

In this paper we present a method for automatically planning optimal paths for a group of robots that satisfy a common high level mission specification. Each robot's motion in the environment is modeled as a weighted transition system. The…

Robotics · Computer Science 2015-03-13 Alphan Ulusoy , Stephen L. Smith , Xu Chu Ding , Calin Belta , Daniela Rus

Symbolic control problems aim to synthesize control policies for dynamical systems under complex temporal specifications. For such problems, Signal Temporal Logic (STL) is increasingly used as the formal specification language due to its…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Shirantha Welikala , Hai Lin , Panos J. Antsaklis

There is an increasing demand for controller design techniques capable of addressing the complex requirements of todays embedded applications. This demand has sparked the interest in symbolic control where lower complexity models of control…

Optimization and Control · Mathematics 2015-03-14 Manuel Mazo , Paulo Tabuada

Dealing with planning problems with both logical relations and numeric changes in real-world dynamic environments is challenging. Existing numeric planning systems for the problem often discretize numeric variables or impose convex…

Artificial Intelligence · Computer Science 2022-10-11 Kebing Jin , Hankz Hankui Zhuo , Zhanhao Xiao , Hai Wan , Subbarao Kambhampati

We tackle the challenging problem of multi-agent cooperative motion planning for complex tasks described using signal temporal logic (STL), where robots can have nonlinear and nonholonomic dynamics. Existing methods in multi-agent motion…

Robotics · Computer Science 2022-01-17 Dawei Sun , Jingkai Chen , Sayan Mitra , Chuchu Fan

To economically deploy robotic manipulators the programming and execution of robot motions must be swift. To this end, we propose a novel, constraint-based method to intuitively specify sequential manipulation tasks and to compute…

Robotics · Computer Science 2022-08-22 Mun Seng Phoon , Philipp S. Schmitt , Georg v. Wichert

Optimizing high-level mission planning constraints is traditionally solved in exponential time and requires to split the problem into several ones, making the connections between them a convoluted task. This paper aims at generalizing…

Optimization and Control · Mathematics 2024-10-11 Thomas Claudet , Davide Martire , Damiana Losa , Francesco Sanfedino , Daniel Alazard

This paper addresses a motion planning problem to achieve spatio-temporal-logical tasks, expressed by syntactically co-safe linear temporal logic specifications (scLTL\next), in uncertain environments. Here, the uncertainty is modeled as…

Robotics · Computer Science 2025-11-06 Azizollah Taheri , Derya Aksaray

Gradient Symbolic Computation is proposed as a means of solving discrete global optimization problems using a neurally plausible continuous stochastic dynamical system. Gradient symbolic dynamics involves two free parameters that must be…

Computation and Language · Computer Science 2018-01-12 Paul Tupper , Paul Smolensky , Pyeong Whan Cho

This paper presents a technique, named STLCG, to compute the quantitative semantics of Signal Temporal Logic (STL) formulas using computation graphs. STLCG provides a platform which enables the incorporation of logical specifications into…

Systems and Control · Electrical Eng. & Systems 2021-12-28 Karen Leung , Nikos Aréchiga , Marco Pavone

The definition of symbolic descriptions that consistently represent relevant geometrical aspects in manipulation tasks is a challenging problem that has received little attention in the robotic community. This definition is usually done…

Artificial Intelligence · Computer Science 2020-07-17 Alejandro Agostini , Dongheui Lee