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Reactive synthesis from Linear Temporal Logic over finite traces (LTLf) can be reduced to a two-player game over a Deterministic Finite Automaton (DFA) of the LTLf specification. The primary challenge here is DFA construction, which is…

Artificial Intelligence · Computer Science 2025-08-25 Yongkang Li , Shengping Xiao , Shufang Zhu , Jianwen Li , Geguang Pu

Finite linear temporal logic ($\mathsf{LTL}_f$) is a powerful formal representation for modeling temporal sequences. We address the problem of learning a compact $\mathsf{LTL}_f$ formula from labeled traces of system behavior. We propose a…

Artificial Intelligence · Computer Science 2021-11-23 Homer Walke , Daniel Ritter , Carl Trimbach , Michael Littman

This paper presents an incremental replanning algorithm, dubbed LTL-D*, for temporal-logic-based task planning in a dynamically changing environment. Unexpected changes in the environment may lead to failures in satisfying a task…

Robotics · Computer Science 2024-04-02 Jiming Ren , Haris Miller , Karen M. Feigh , Samuel Coogan , Ye Zhao

In this paper, we investigate the problem of synthesizing strategies for linear temporal logic (LTL) specifications that are interpreted over finite traces -- a problem that is central to the automated construction of controllers, robot…

Logic in Computer Science · Computer Science 2018-09-03 Alberto Camacho , Meghyn Bienvenu , Sheila A. McIlraith

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

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

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

Research in robotic planning with temporal logic specifications, such as Linear Temporal Logic (LTL), has relied on single formulas. However, as task complexity increases, LTL formulas become lengthy, making them difficult to interpret and…

Robotics · Computer Science 2025-06-06 Xusheng Luo , Changliu Liu

In this paper, we study incremental LTLf synthesis -- a form of reactive synthesis where the goals are given incrementally while in execution. In other words, the protagonist agent is already executing a strategy for a certain goal when it…

Artificial Intelligence · Computer Science 2026-03-03 Giuseppe De Giacomo , Yves Lespérance , Gianmarco Parretti , Fabio Patrizi , Moshe Y. Vardi

Runtime monitoring is one of the central tasks to provide operational decision support to running business processes, and check on-the-fly whether they comply with constraints and rules. We study runtime monitoring of properties expressed…

Artificial Intelligence · Computer Science 2014-05-02 Giuseppe De Giacomo , Riccardo De Masellis , Marco Grasso , Fabrizio Maggi , Marco Montali

This paper describes a technique for inferring temporal-logic properties for sets of finite data streams. Such data streams arise in many domains, including server logs, program testing, and financial and marketing data; temporal-logic…

Logic in Computer Science · Computer Science 2020-06-09 Samuel Huang , Rance Cleaveland

The synthesis of reactive systems from linear temporal logic (LTL) specifications is an important aspect in the design of reliable software and hardware. We present our adaption of the classic automata-theoretic approach to LTL synthesis,…

Logic in Computer Science · Computer Science 2020-02-21 Michael Luttenberger , Philipp J. Meyer , Salomon Sickert

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

Motivated by the challenge presented by non-Markovian objectives in reinforcement learning (RL), we present a novel framework to track and represent the progress of autonomous agents through complex, multi-stage tasks. Given a specification…

Machine Learning · Computer Science 2026-04-21 Noel Brindise , Cedric Langbort , Melkior Ornik

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

To maximize the information gained from a single execution when verifying a concurrent system, one can derive all concurrency-aware equivalent executions and check them against linear specifications. This paper offers an alternative…

Logic in Computer Science · Computer Science 2025-07-08 Martin Leucker

This paper presents an algorithmic framework for control synthesis of continuous dynamical systems subject to signal temporal logic (STL) specifications. We propose a novel algorithm to obtain a time-partitioned finite automaton from an STL…

Systems and Control · Electrical Eng. & Systems 2022-10-05 Qi Heng Ho , Roland B. Ilyes , Zachary N. Sunberg , Morteza Lahijanian

This paper concerns the verification of continuous-time polynomial spline trajectories against linear temporal logic specifications (LTL without 'next'). Each atomic proposition is assumed to represent a state space region described by a…

Logic in Computer Science · Computer Science 2022-01-24 Daniel Selvaratnam , Michael Cantoni , J. M. Davoren , Iman Shames

We present a novel asynchronous hyper linear time temporal logic named LPrL (Linear Time Predicate Logic) and establish its basic theory. LPrL is a natural first order extension of LTL (Linear time temporal logic), in which the predicates…

Logic in Computer Science · Computer Science 2026-01-22 Parasara Sridhar Duggirala , P. S. Thiagarajan

We discuss milestones on the tour towards DPLL(MAPF), a multi-agent path finding (MAPF) solver fully integrated with the Davis-Putnam-Logemann-Loveland (DPLL) propositional satisfiability testing algorithm through satisfiability modulo…

Artificial Intelligence · Computer Science 2019-07-18 Pavel Surynek