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Linear temporal logic (LTL) is a powerful language for task specification in reinforcement learning, as it allows describing objectives beyond the expressivity of conventional discounted return formulations. Nonetheless, recent works have…

Machine Learning · Computer Science 2025-06-11 Marco Bagatella , Andreas Krause , Georg Martius

Linear Temporal Logic (LTL) is the de-facto standard temporal logic for system specification, whose foundational properties have been studied for over five decades. Safety and cosafety properties define notable fragments of LTL, where a…

Logic in Computer Science · Computer Science 2025-03-14 Alessandro Artale , Luca Geatti , Nicola Gigante , Andrea Mazzullo , Angelo Montanari

Signal temporal logic (STL) was introduced for monitoring temporal properties of continuous-time signals for continuous and hybrid systems. Differential dynamic logic (dL) was introduced to reason about the end states of a hybrid program.…

Logic in Computer Science · Computer Science 2021-03-17 Hammad Ahmad , Jean-Baptiste Jeannin

Nested words are a structured model of execution paths in procedural programs, reflecting their call and return nesting structure. Finite nested words also capture the structure of parse trees and other tree-structured data, such as XML. We…

Logic in Computer Science · Computer Science 2015-07-01 Rajeev Alur , Marcelo Arenas , Pablo Barcelo , Kousha Etessami , Neil Immerman , Leonid Libkin

Extensions of Answer Set Programming with language constructs from temporal logics, such as temporal equilibrium logic over finite traces (TELf), provide an expressive computational framework for modeling dynamic applications. In this…

Artificial Intelligence · Computer Science 2024-01-23 Pedro Cabalar , Martín Diéguez , François Laferrière , Torsten Schaub

In the last decades much research effort has been devoted to extending the success of model checking from the traditional field of finite state machines and various versions of temporal logics to suitable subclasses of context-free…

Logic in Computer Science · Computer Science 2018-09-11 Michele Chiari , Dino Mandrioli , Matteo Pradella

Metric Temporal Logic (MTL) is a popular formalism to specify temporal patterns with timing constraints over the behavior of cyber-physical systems with application areas ranging in property-based testing, robotics, optimization, and…

Logic in Computer Science · Computer Science 2026-03-11 Dogan Ulus

We continue the investigation of parameterized extensions of Linear Temporal Logic (LTL) that retain the attractive algorithmic properties of LTL: a polynomial space model checking algorithm and a doubly-exponential time algorithm for…

Logic in Computer Science · Computer Science 2016-01-15 Martin Zimmermann

We propose algorithms for performing model checking and control synthesis for discrete-time uncertain systems under linear temporal logic (LTL) specifications. We construct temporal logic trees (TLT) from LTL formulae via reachability…

Systems and Control · Electrical Eng. & Systems 2020-07-07 Yulong Gao , Alessandro Abate , Frank J. Jiang , Mirco Giacobbe , Lihua Xie , Karl H. Johansson

In this paper, we study First Order Logic (FO) over (unordered) infinite trees and its connection with branching-time temporal logics. More specifically, we provide an automata-theoretic characterisation of FO interpreted over infinite…

Logic in Computer Science · Computer Science 2025-09-18 Massimo Benerecetti , Dario Della Monica , Angelo Matteo , Fabio Mogavero , Gabriele Puppis

Runtime verification encompasses several lightweight techniques for checking whether a system's current execution satisfies a given specification. We focus on runtime verification for Linear Temporal Logic (LTL). Previous work describes…

Logic in Computer Science · Computer Science 2025-08-12 Javier Esparza , Vincent Fischer

Signal Temporal Logic (STL) is a convenient formalism to express bounded horizon properties of autonomous critical systems. STL extends LTL to real-valued signals and associates a non-singleton bound interval to each temporal operators. In…

Logic in Computer Science · Computer Science 2023-11-17 Céline Bellanger , Pierre-Loïc Garoche , Matthieu Martel , Célia Picard

We study monitoring of linear-time arithmetic properties against finite traces generated by an unknown dynamic system. The monitoring state is determined by considering at once the trace prefix seen so far, and all its possible…

Logic in Computer Science · Computer Science 2022-12-01 Paolo Felli , Marco Montali , Fabio Patrizi , Sarah Winkler

In this paper we give automata-based representation of LTL-FO$^+$ properties. LTL-FO$^+$ is an extension of LTL that includes first-order quantification over bounded variable, thus greatly increasing the expressivity of the language. An…

Formal Languages and Automata Theory · Computer Science 2016-10-25 Yannick Lebrun , Raphaël Khoury , Sylvain Hallé

Learning from demonstration (LfD) has succeeded in tasks featuring a long time horizon. However, when the problem complexity also includes human-in-the-loop perturbations, state-of-the-art approaches do not guarantee the successful…

Robotics · Computer Science 2024-12-10 Yanwei Wang , Nadia Figueroa , Shen Li , Ankit Shah , Julie Shah

We present a novel formalisation of tensor semantics for linear temporal logic on finite traces (LTLf), with formal proofs of correctness carried out in the theorem prover Isabelle/HOL. We demonstrate that this formalisation can be…

Artificial Intelligence · Computer Science 2025-01-24 Mark Chevallier , Filip Smola , Richard Schmoetten , Jacques D. Fleuriot

Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

We continue the investigation of parameterized extensions of Linear Temporal Logic (LTL) that retain the attractive algorithmic properties of LTL: a polynomial space model checking algorithm and a doubly-exponential time algorithm for…

Logic in Computer Science · Computer Science 2015-09-25 Martin Zimmermann

This paper introduces a logic with a class of social network models that is based on standard Linear Temporal Logic (LTL), leveraging the power of existing model checkers for the analysis of social networks. We provide a short literature…

Social and Information Networks · Computer Science 2021-03-15 Vitor Machado , Mario Benevides

We study an extension of $\mtl$ in pointwise time with rational expression guarded modality $\reg_I(\re)$ where $\re$ is a rational expression over subformulae. We study the decidability and expressiveness of this extension ($\mtl$+$\varphi…

Logic in Computer Science · Computer Science 2017-05-04 Shankara Narayanan Krishna , Khushraj Madnani , P. K. Pandya
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