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Time-varying optimization is fundamental to decision-making in dynamic environments, where objectives evolve over time due to exogenous signals or data streams. However, algorithms designed for static problems yield suboptimal decisions in…

Optimization and Control · Mathematics 2026-04-14 Bryan Van Scoy , Gianluca Bianchin

The aim of this work is to address issues where formal specifications cannot be realized on a given dynamical system subjected to a changing environment. Such failures occur whenever the dynamics of the system restrict the robot in such a…

We investigate the problem of optimal control synthesis for Markov Decision Processes (MDPs), addressing both qualitative and quantitative objectives. Specifically, we require the system to satisfy a qualitative task specified by a Linear…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Yu Chen , Xuanyuan Yin , Shaoyuan Li , Xiang Yin

System Level Synthesis (SLS) allows us to construct internally stabilizing controllers for large-scale systems. However, solving large-scale SLS problems is computationally expensive and the state-of-the-art methods consider only state…

Optimization and Control · Mathematics 2022-06-07 Lauren Conger , Shih-Hao Tseng

This paper explores continuous-time control synthesis for target-driven navigation to satisfy complex high-level tasks expressed as linear temporal logic (LTL). We propose a model-free framework using deep reinforcement learning (DRL) where…

Robotics · Computer Science 2023-03-17 Mingyu Cai , Makai Mann , Zachary Serlin , Kevin Leahy , Cristian-Ioan Vasile

Given a multi-modal dynamical system, optimal switching logic synthesis involves generating the conditions for switching between the system modes such that the resulting hybrid system satisfies a quantitative specification. We formalize and…

Systems and Control · Computer Science 2011-05-06 Susmit Jha , Sanjit A. Seshia , Ashish Tiwari

Large language models (LLMs) are increasingly used in modern search and answer systems to synthesize multiple, sometimes conflicting, texts into a single response, yet current pipelines offer weak incentives for sources to be accurate and…

Computation and Language · Computer Science 2026-02-26 Yanchen Jiang , Zhe Feng , Aranyak Mehta

This work introduces efficient symbolic algorithms for quantitative reactive synthesis. We consider resource-constrained robotic manipulators that need to interact with a human to achieve a complex task expressed in linear temporal logic.…

Robotics · Computer Science 2023-08-09 Karan Muvvala , Morteza Lahijanian

Control synthesis under constraints is at the forefront of research on autonomous systems, in part due to its broad application from low-level control to high-level planning, where computing control inputs is typically cast as a constrained…

Optimization and Control · Mathematics 2026-03-23 Panagiotis Rousseas , Haejoon Lee , Dimos V. Dimarogonas , Dimitra Panagou

Synthesis automatically constructs an implementation that satisfies a given logical specification. In this paper, we study the live synthesis problem, where the synthesized implementation replaces an already running system. In addition to…

Logic in Computer Science · Computer Science 2021-07-05 Bernd Finkbeiner , Felix Klein , Niklas Metzger

Among the biggest challenges in property-based testing (PBT) is the constrained random generation problem: given a predicate on program values, randomly sample from the set of all values satisfying that predicate, and only those values.…

Programming Languages · Computer Science 2026-04-15 Harrison Goldstein , Hila Peleg , Cassia Torczon , Daniel Sainati , Leonidas Lampropoulos , Benjamin C. Pierce

We study LTLf synthesis with multiple properties, where satisfying all properties may be impossible. Instead of enumerating subsets of properties, we compute in one fixed-point computation the relation between product-game states and the…

Artificial Intelligence · Computer Science 2026-01-16 Christoph Weinhuber , Yannik Schnitzer , Alessandro Abate , David Parker , Giuseppe De Giacomo , Moshe Y. Vardi

We consider the synthesis of distributed implementations for specifications in Prompt Linear Temporal Logic (PROMPT-LTL), which extends LTL by temporal operators equipped with parameters that bound their scope. For single process synthesis…

Logic in Computer Science · Computer Science 2016-09-15 Swen Jacobs , Leander Tentrup , Martin Zimmermann

Many problems in reactive synthesis are stated using two formulas ---an environment assumption and a system guarantee--- and ask for an implementation that satisfies the guarantee in environments that satisfy their assumption. Reactive…

Logic in Computer Science · Computer Science 2019-02-18 Rupak Majumdar , Nir Piterman , Anne-Kathrin Schmuck

This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning-based lifting approach is proposed to approximate nonlinear dynamical systems with linear…

Systems and Control · Electrical Eng. & Systems 2026-01-06 Sourav Sinha , Mazen Farhood

Specifications for reactive systems often consist of environment assumptions and system guarantees. An implementation should not only be correct, but also robust in the sense that it behaves reasonably even when the assumptions are…

Logic in Computer Science · Computer Science 2012-07-06 Roderick Bloem , Hans-Jürgen Gamauf , Georg Hofferek , Bettina Könighofer , Robert Könighofer

Encoder-decoder Large Language Models (LLMs), such as BERT and RoBERTa, require that all categories in an annotation task be sufficiently represented in the training data for optimal performance. However, it is often difficult to find…

Computation and Language · Computer Science 2025-04-22 Joan C. Timoneda

Biological and advanced cyberphysical control systems often have limited, sparse, uncertain, and distributed communication and computing in addition to sensing and actuation. Fortunately, the corresponding plants and performance…

Systems and Control · Electrical Eng. & Systems 2019-07-08 Yuh-Shyang Wang , Nikolai Matni , John C. Doyle

Large language models are typically aligned with human preferences by optimizing $\textit{reward models}$ (RMs) fitted to human feedback. However, human preferences are multi-faceted, and it is increasingly common to derive reward from a…

There is a surge of interest in using formal languages such as Linear Temporal Logic (LTL) to precisely and succinctly specify complex tasks and derive reward functions for Reinforcement Learning (RL). However, existing methods often assign…

Robotics · Computer Science 2025-05-20 Minjae Kwon , Ingy ElSayed-Aly , Lu Feng
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