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We study the problem of policy optimization (PO) with linear temporal logic (LTL) constraints. The language of LTL allows flexible description of tasks that may be unnatural to encode as a scalar cost function. We consider LTL-constrained…

Machine Learning · Computer Science 2022-10-21 Cameron Voloshin , Hoang M. Le , Swarat Chaudhuri , Yisong Yue

Temporal logic specifications play an important role in a wide range of software analysis tasks, such as model checking, automated synthesis, program comprehension, and runtime monitoring. Given a set of positive and negative examples,…

Software Engineering · Computer Science 2025-01-03 Changjian Zhang , Parv Kapoor , Ian Dardik , Leyi Cui , Romulo Meira-Goes , David Garlan , Eunsuk Kang

Temporal logic based synthesis approaches are often used to find trajectories that are correct-by-construction for tasks in systems with complex behavior. Some examples of such tasks include synchronization for multi-agent hybrid systems,…

Logic in Computer Science · Computer Science 2017-09-22 Sumanth Dathathri , Richard M. Murray

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

Ensuring that agents satisfy safety specifications can be crucial in safety-critical environments. While methods exist for controller synthesis with safe temporal specifications, most existing methods restrict safe temporal specifications…

Logic in Computer Science · Computer Science 2025-11-21 Gaspard Ohlmann , Edwin Hamel-De le Court , Francesco Belardinelli

Autonomous agents often operate in uncertain environments where their decisions are made based on beliefs over states of targets. We are interested in controller synthesis for complex tasks defined over belief spaces. Designing such…

Systems and Control · Computer Science 2015-10-30 Chanyeol Yoo , Calin Belta

LTLf synthesis is the process of finding a strategy that satisfies a linear temporal specification over finite traces. An existing solution to this problem relies on a reduction to a DFA game. In this paper, we propose a symbolic framework…

Logic in Computer Science · Computer Science 2017-09-22 Shufang Zhu , Lucas M. Tabajara , Jianwen Li , Geguang Pu , Moshe Y. Vardi

In time-critical systems, such as air traffic control systems, it is crucial to design control policies that are robust to timing uncertainty. Recently, the notion of Asynchronous Temporal Robustness (ATR) was proposed to capture the…

Systems and Control · Electrical Eng. & Systems 2023-07-25 Xinyi Yu , Xiang Yin , Lars Lindemann

This paper addresses the synthesis of reactive systems that enforce hard constraints while optimizing for quality-based soft constraints. We build on recent advancements in combining reactive synthesis with example-based guidance to handle…

Formal Languages and Automata Theory · Computer Science 2024-10-14 Jean-François Raskin , Yun Chen Tsai

Reactive synthesis is an automated procedure to obtain a correct-by-construction reactive system from a given specification. GR(1) is a well-known fragment of linear temporal logic (LTL) where synthesis is possible using a polynomial…

Software Engineering · Computer Science 2016-02-04 Shahar Maoz , Jan Oliver Ringert

Temporal logic is a very powerful formalism deeply investigated and used in formal system design and verification. Its application usually reduces to solving specific decision problems such as model checking and satisfiability. In these…

Logic in Computer Science · Computer Science 2016-09-15 Gaëlle Fontaine , Fabio Mogavero , Aniello Murano , Giuseppe Perelli , Loredana Sorrentino

Mathematical reasoning remains challenging for LLMs due to complex logic and the need for precise computation. Existing methods enhance LLM reasoning by synthesizing datasets through problem rephrasing, but face issues with generation…

Computation and Language · Computer Science 2025-06-12 Lei Xu , Sirui Chen , Yuxuan Huang , Chaochao Lu

We present an analysis technique for temporal specifications of reactive systems that identifies, on the level of individual system outputs over time, which parts of the implementation are determined by the specification, and which parts…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Bernd Finkbeiner , Hazem Torfah

This paper presents a methodology for temporal logic verification of discrete-time stochastic systems. Our goal is to find a lower bound on the probability that a complex temporal property is satisfied by finite traces of the system.…

Systems and Control · Computer Science 2019-11-22 Pushpak Jagtap , Sadegh Soudjani , Majid Zamani

In this paper, we consider supervisory control of stochastic discrete event systems (SDESs) under linear temporal logic specifications. Applying the bounded synthesis, we reduce the supervisor synthesis into a problem of satisfying a safety…

Systems and Control · Electrical Eng. & Systems 2022-04-12 Ryohei Oura , Toshimitsu Ushio , Ami Sakakibara

This paper investigates the problem of designing control policies that satisfy high-level specifications described by signal temporal logic (STL) in unknown, stochastic environments. While many existing works concentrate on optimizing the…

Systems and Control · Electrical Eng. & Systems 2024-12-16 Siqi Wang , Shaoyuan Li , Li Yin , Xiang Yin

Smart contracts are small but highly error-prone programs that implement agreements between multiple parties. We present a reactive synthesis approach for the automatic construction of smart contract state machines. Towards this end, we…

Logic in Computer Science · Computer Science 2023-07-28 Bernd Finkbeiner , Jana Hofmann , Florian Kohn , Noemi Passing

The classic approaches to synthesize a reactive system from a linear temporal logic (LTL) specification first translate the given LTL formula to an equivalent omega-automaton and then compute a winning strategy for the corresponding…

Logic in Computer Science · Computer Science 2010-06-09 Andreas Morgenstern , Klaus Schneider

We consider the problem of bounded model checking (BMC) for linear temporal logic (LTL). We present several efficient encodings that have size linear in the bound. Furthermore, we show how the encodings can be extended to LTL with past…

Logic in Computer Science · Computer Science 2017-01-11 Armin Biere , Keijo Heljanko , Tommi Junttila , Timo Latvala , Viktor Schuppan

The paper presents a novel approach to synthesize robust controllers for nonlinear systems along perturbed trajectories. The approach linearizes the system with respect to a reference trajectory. In contrast to existing methods rooted in…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Felix Biertümpfel , Peter Seiler , Harald Pfifer
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