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In this work, we perform safety analysis of linear dynamical systems with uncertainties. Instead of computing a conservative overapproximation of the reachable set, our approach involves computing a statistical approximate reachable set. As…

Systems and Control · Electrical Eng. & Systems 2021-09-17 Bineet Ghosh , Parasara Sridhar Duggirala

We study the problem of plan synthesis for multi-agent systems, to achieve complex, high-level, long-term goals that are assigned to each agent individually. As the agents might not be capable of satisfying their respective goals by…

Systems and Control · Computer Science 2016-10-27 Jana Tumova , Dimos V. Dimarogonas

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 temporal logic specifications. Existing…

Systems and Control · Electrical Eng. & Systems 2020-09-15 Rafael Rodrigues da Silva , Vince Kurtz , Hai Lin

We study the reactive synthesis problem for hyperproperties given as formulas of the temporal logic HyperLTL. Hyperproperties generalize trace properties, i.e., sets of traces, to sets of sets of traces. Typical examples are…

Logic in Computer Science · Computer Science 2019-06-03 Bernd Finkbeiner , Christopher Hahn , Philip Lukert , Marvin Stenger , Leander Tentrup

In recent years, Machine Learning (ML) models have achieved remarkable success in various domains. However, these models also tend to demonstrate unsafe behaviors, precluding their deployment in safety-critical systems. To cope with this…

Logic in Computer Science · Computer Science 2025-02-17 Andoni Rodriguez , Guy Amir , Davide Corsi , Cesar Sanchez , Guy Katz

Perception-related tasks often arise in autonomous systems operating under partial observability. This work studies the problem of synthesizing optimal policies for complex perception-related objectives in environments modeled by partially…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Zetong Xuan , Yu Wang

We study automatic synthesis of systems that interact with their environment and maintain privacy against an observer to the interaction. The system and the environment interact via sets $I$ and $O$ of input and output signals. The input to…

Logic in Computer Science · Computer Science 2025-08-06 Orna Kupferman , Ofer Leshkowitz , Namma Shamash Halevy

$ $Large Language Models (LLMs) are being increasingly utilized in various applications, with code generations being a notable example. While previous research has shown that LLMs have the capability to generate both secure and insecure…

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

In Boolean synthesis, we are given an LTL specification, and the goal is to construct a transducer that realizes it against an adversarial environment. Often, a specification contains both Boolean requirements that should be satisfied…

Formal Languages and Automata Theory · Computer Science 2016-04-26 Shaull Almagor , Orna Kupferman , Yaron Velner

Virtually all verification and synthesis techniques assume that the formal specifications are readily available, functionally correct, and fully match the engineer's understanding of the given system. However, this assumption is often…

Formal Languages and Automata Theory · Computer Science 2022-06-15 Simon Lutz , Daniel Neider , Rajarshi Roy

Synthesis from linear temporal logic (LTL) specifications provides assured controllers for systems operating in stochastic and potentially adversarial environments. Automatic synthesis tools, however, require a model of the environment to…

Artificial Intelligence · Computer Science 2026-04-07 Alper Kamil Bozkurt , Yu Wang , Michael M. Zavlanos , Miroslav Pajic

Synthesis is the automated construction of a system from its specification. The system has to satisfy its specification in all possible environments. Modern systems often interact with other systems, or agents. Many times these agents have…

Logic in Computer Science · Computer Science 2009-07-20 Dana Fisman , Orna Kupferman , Yoad Lustig

Robots are used increasingly often in safety-critical scenarios, such as robotic surgery or human-robot interaction. To ensure stringent performance criteria, formal controller synthesis is a promising direction to guarantee that robots…

Robotics · Computer Science 2023-09-13 Stefan B. Liu , Bastian Schürmann , Matthias Althoff

Conducting reinforcement learning (RL) in simulated environments offers a cost-effective and highly scalable way to enhance language-based agents. However, previous work has been limited to semi-automated environment synthesis or tasks…

Computation and Language · Computer Science 2025-12-30 Shihao Cai , Runnan Fang , Jialong Wu , Baixuan Li , Xinyu Wang , Yong Jiang , Liangcai Su , Liwen Zhang , Wenbiao Yin , Zhen Zhang , Fuli Feng , Pengjun Xie , Xiaobin Wang

Control Lyapunov functions (CLFs) and control barrier functions (CBFs) are widely used tools for synthesizing controllers subject to stability and safety constraints. Paired with online optimization, they provide stabilizing control actions…

Robotics · Computer Science 2022-10-04 Hongkai Dai , Frank Permenter

Hamilton-Jacobi (HJ) reachability analysis is a powerful tool for analyzing the safety of autonomous systems. However, the provided safety assurances are often predicated on the assumption that once deployed, the system or its environment…

Robotics · Computer Science 2024-04-24 Javier Borquez , Kensuke Nakamura , Somil Bansal

Reactive synthesis is the process of generating correct controllers from temporal logic specifications. Classical LTL reactive synthesis handles (propositional) LTL as a specification language. Boolean abstractions allow reducing LTLt…

Logic in Computer Science · Computer Science 2024-07-15 Andoni Rodríguez , Felipe Gorostiaga , César Sánchez

Reactive synthesis from high-level specifications that combine hard constraints expressed in Linear Temporal Logic LTL with soft constraints expressed by discounted-sum (DS) rewards has applications in planning and reinforcement learning.…

Artificial Intelligence · Computer Science 2022-05-24 Suguman Bansal , Lydia Kavraki , Moshe Y. Vardi , Andrew Wells

Reactive synthesis is the process of using temporal logic specifications in LTL to generate correct controllers, but its use has been restricted to Boolean specifications. Recently, a Boolean abstraction technique allows to translate LTL T…

Logic in Computer Science · Computer Science 2023-10-13 Andoni Rodríguez , Cesar Sanchez