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Related papers: The Complexity of Learning Temporal Properties

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We address the problem of learning temporal properties from the branching-time behavior of systems. Existing research in this field has mostly focused on learning linear temporal properties specified using popular logics, such as Linear…

Logic in Computer Science · Computer Science 2024-07-01 Benjamin Bordais , Daniel Neider , Rajarshi Roy

We investigate the complexity of LTL learning, which consists in deciding given a finite set of positive ultimately periodic words, a finite set of negative ultimately periodic words, and a bound B given in unary, if there is an LTL-formula…

Logic in Computer Science · Computer Science 2023-12-19 Benjamin Bordais , Daniel Neider , Rajarshi Roy

We study the problem of learning linear temporal logic (LTL) formulas from examples, as a first step towards expressing a property separating positive and negative instances in a way that is comprehensible for humans. In this paper we…

Machine Learning · Computer Science 2023-12-29 Corto Mascle , Nathanaël Fijalkow , Guillaume Lagarde

We present two novel algorithms for learning formulas in Linear Temporal Logic (LTL) from examples. The first learning algorithm reduces the learning task to a series of satisfiability problems in propositional Boolean logic and produces a…

Logic in Computer Science · Computer Science 2018-10-05 Daniel Neider , Ivan Gavran

There has been substantial progress in the inference of formal behavioural specifications from sample trajectories, for example, using Linear Temporal Logic (LTL). However, these techniques cannot handle specifications that correctly…

Logic in Computer Science · Computer Science 2025-05-20 Rajarshi Roy , Yash Pote , David Parker , Marta Kwiatkowska

Learning linear temporal logic (LTL) formulas from examples labeled as positive or negative has found applications in inferring descriptions of system behavior. We summarize two methods to learn LTL formulas from examples in two different…

Logic in Computer Science · Computer Science 2022-12-05 Jean-Raphaël Gaglione , Rajarshi Roy , Nasim Baharisangari , Daniel Neider , Zhe Xu , Ufuk Topcu

In this paper we initiate the study of the computational complexity of learning linear temporal logic (LTL) formulas from examples. We construct approximation algorithms for fragments of LTL and prove hardness results; in particular we…

Formal Languages and Automata Theory · Computer Science 2021-02-02 Nathanaël Fijalkow , Guillaume Lagarde

We address the problem of learning human-interpretable descriptions of a complex system from a finite set of positive and negative examples of its behavior. In contrast to most of the recent work in this area, which focuses on descriptions…

Machine Learning · Computer Science 2020-02-11 Rajarshi Roy , Dana Fisman , Daniel Neider

Linear temporal logic (LTL) is a specification language for finite sequences (called traces) widely used in program verification, motion planning in robotics, process mining, and many other areas. We consider the problem of learning LTL…

Artificial Intelligence · Computer Science 2026-01-22 Ritam Raha , Rajarshi Roy , Nathanaël Fijalkow , Daniel Neider

We consider the problem of automatically inferring specifications in the branching-time logic, Computation Tree Logic (CTL), from a given system. Designing functional and usable specifications has always been one of the biggest challenges…

Logic in Computer Science · Computer Science 2023-10-24 Rajarshi Roy , Daniel Neider

We aim to determine which temporal instance queries can be uniquely characterised by a (polynomial-size) set of positive and negative temporal data examples. We start by considering queries formulated in fragments of propositional linear…

Logic in Computer Science · Computer Science 2022-05-04 Marie Fortin , Boris Konev , Vladislav Ryzhikov , Yury Savateev , Frank Wolter , Michael Zakharyaschev

Recent work has addressed using formulas in linear temporal logic (LTL) as specifications for agents planning in Markov Decision Processes (MDPs). We consider the inverse problem: inferring an LTL specification from demonstrated behavior…

Systems and Control · Computer Science 2017-11-02 Daniel Kasenberg , Matthias Scheutz

The satisfiability problem of the branching time logic CTL is studied in terms of computational complexity. Tight upper and lower bounds are provided for each temporal operator fragment. In parallel, the minimal model size is studied with a…

Logic in Computer Science · Computer Science 2017-02-27 Martin Lück

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

Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary…

Artificial Intelligence · Computer Science 2025-04-01 Mathias Jackermeier , Alessandro Abate

We present team semantics for two of the most important linear and branching time specification languages, Linear Temporal Logic (LTL) and Computation Tree Logic (CTL). With team semantics, LTL is able to express hyperproperties, which have…

Logic in Computer Science · Computer Science 2025-10-14 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

Given a formula in a temporal logic such as LTL or MTL, a fundamental problem is the complexity of evaluating the formula on a given finite word. For LTL, the complexity of this task was recently shown to be in NC. In this paper, we present…

Logic in Computer Science · Computer Science 2014-04-29 Daniel Bundala , Joël Ouaknine

We consider the problem of synthesizing interpretable models that recognize the behaviour of an agent compared to other agents, on a whole set of similar planning tasks expressed in PDDL. Our approach consists in learning logical formulas,…

Artificial Intelligence · Computer Science 2024-10-15 Arnaud Lequen

We study two fundamental questions in neuro-symbolic computing: can deep learning tackle challenging problems in logics end-to-end, and can neural networks learn the semantics of logics. In this work we focus on linear-time temporal logic…

Logic in Computer Science · Computer Science 2021-02-19 Christopher Hahn , Frederik Schmitt , Jens U. Kreber , Markus N. Rabe , Bernd Finkbeiner

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
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