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The evolution of Large Language Models (LLMs) from static instruction-followers to autonomous agents necessitates operating within complex, stateful environments to achieve precise state-transition objectives. However, this paradigm is…

Artificial Intelligence · Computer Science 2026-03-03 Yucheng Zeng , Weipeng Lu , Linyun Liu , Shupeng Li , Zitian Qu , Chenghao Zhu , Shaofei Li , Zhengdong Tan , Mengyue Liu , Haotian Zhao , Zhe Zhou , Jianmin Wu

We present the Temporal Logic Synthesis Format (TLSF), a high-level format to describe synthesis problems via Linear Temporal Logic (LTL). The format builds upon standard LTL, but additionally allows to use high level constructs, such as…

Logic in Computer Science · Computer Science 2016-01-21 Swen Jacobs , Felix Klein

Automatic synthesis from linear temporal logic (LTL) specifications is widely used in robotic motion planning, control of autonomous systems, and load distribution in power networks. A common specification pattern in such applications…

Logic in Computer Science · Computer Science 2018-04-03 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

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

Representing time is crucial for cyber-physical systems and has been studied extensively in the Situation Calculus. The most commonly used approach represents time by adding a real-valued fluent $\mathit{time}(a)$ that attaches a time point…

Artificial Intelligence · Computer Science 2024-02-07 Till Hofmann , Stefan Schupp , Gerhard Lakemeyer

Autonomous agents rely on automated planning algorithms to achieve their objectives. Simulation-based planning offers a significant advantage over declarative models in modelling complex environments. However, relying solely on a planner…

Artificial Intelligence · Computer Science 2025-10-21 Mustafa F. Abdelwahed , Alice Toniolo , Joan Espasa , Ian P. Gent

We present the Temporal Logic Synthesis Format (TLSF), a high-level format to describe synthesis problems via Linear Temporal Logic (LTL). The format builds upon standard LTL, but additionally allows to use high-level constructs, such as…

Logic in Computer Science · Computer Science 2016-11-24 Swen Jacobs , Felix Klein , Sebastian Schirmer

This paper presents a model-free reinforcement learning (RL) algorithm to synthesize a control policy that maximizes the satisfaction probability of linear temporal logic (LTL) specifications. Due to the consideration of environment and…

Formal Languages and Automata Theory · Computer Science 2022-01-04 Mingyu Cai , Shaoping Xiao , Baoluo Li , Zhiliang Li , Zhen Kan

Quantitative extensions of temporal logics have recently attracted significant attention. In this work, we study frequency LTL (fLTL), an extension of LTL which allows to speak about frequencies of events along an execution. Such an…

Logic in Computer Science · Computer Science 2015-09-15 Vojtěch Forejt , Jan Krčál , Jan Křetínský

We propose a distributed control and coordination strategy for multi-agent systems where each agent has a local task specified as a Linear Temporal Logic (LTL) formula and at the same time is subject to relative-distance constraints with…

Multiagent Systems · Computer Science 2014-11-03 Meng Guo , Jana Tumova , Dimos V. Dimarogonas

In this paper we introduce Behavioral QLTL, which is a ``behavioral'' variant of linear-time temporal logic on infinite traces with second-order quantifiers. Behavioral QLTL is characterized by the fact that the functions that assign the…

Logic in Computer Science · Computer Science 2021-02-23 Giuseppe De Giacomo , Giuseppe Perelli

Temporal logics are widely used by the Formal Methods and AI communities. Linear Temporal Logic is a popular temporal logic and is valued for its ease of use as well as its balance between expressiveness and complexity. LTL is equivalent in…

Logic in Computer Science · Computer Science 2025-07-16 Kevin W. Smith , Moshe Y. Vardi

Security policy enforcement in contemporary agentic systems predominantly consists of embedding natural-language policies within an agent's system prompt and delegating compliance to the agent's reasoning. This approach admits no formal…

Cryptography and Security · Computer Science 2026-05-12 Nils Palumbo , Sarthak Choudhary , Jihye Choi , Guy Amir , Prasad Chalasani , Somesh Jha

Learning formulas in Linear Temporal Logic (LTLf) from finite traces is a fundamental research problem which has found applications in artificial intelligence, software engineering, programming languages, formal methods, control of…

Artificial Intelligence · Computer Science 2026-01-14 Gabriel Bathie , Nathanaël Fijalkow , Théo Matricon , Baptiste Mouillon , Pierre Vandenhove

This project introduces a hierarchical planner integrating Linear Temporal Logic (LTL) constraints with natural language prompting for robot motion planning. The framework decomposes maps into regions, generates directed graphs, and…

Robotics · Computer Science 2025-01-14 Jingzhan Ge , Zi-Hao Zhang , Sheng-En Huang

The problem of LTLf reactive synthesis is to build a transducer, whose output is based on a history of inputs, such that, for every infinite sequence of inputs, the conjoint evolution of the inputs and outputs has a prefix that satisfies a…

Formal Languages and Automata Theory · Computer Science 2025-07-04 Alexandre Duret-Lutz , Shufang Zhu , Nir Piterman , Giuseppe de Giacomo , Moshe Y Vardi

Runtime monitoring is one of the central tasks in the area of operational decision support for business process management. In particular, it helps process executors to check on-the-fly whether a running process instance satisfies business…

Logic in Computer Science · Computer Science 2020-04-08 Giuseppe De Giacomo , Riccardo De Masellis , Fabrizio Maria Maggi , Marco Montali

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

We propose a method for efficient training of Q-functions for continuous-state Markov Decision Processes (MDPs) such that the traces of the resulting policies satisfy a given Linear Temporal Logic (LTL) property. LTL, a modal logic, can…

Machine Learning · Computer Science 2019-03-15 Mohammadhosein Hasanbeig , Alessandro Abate , Daniel Kroening

Designing tests to evaluate if a given autonomous system satisfies complex specifications is challenging due to the complexity of these systems. This work proposes a flow-based approach for reactive test synthesis from temporal logic…

Formal Languages and Automata Theory · Computer Science 2024-04-16 Josefine B. Graebener , Apurva S. Badithela , Denizalp Goktas , Wyatt Ubellacker , Eric V. Mazumdar , Aaron D. Ames , Richard M. Murray