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We present a logic that extends CTL (Computation Tree Logic) with operators that express synchronization properties. A property is synchronized in a system if it holds in all paths of a certain length. The new logic is obtained by using the…

Logic in Computer Science · Computer Science 2016-05-25 Krishnendu Chatterjee , Laurent Doyen

Stochastic processes offer a flexible mathematical formalism to model and reason about systems. Most analysis tools, however, start from the premises that models are fully specified, so that any parameters controlling the system's dynamics…

Systems and Control · Computer Science 2017-01-11 Luca Bortolussi , Guido Sanguinetti

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

DatalogMTL extends the classical Datalog language with metric temporal logic (MTL), enabling expressive reasoning over temporal data. While existing reasoning approaches, such as materialisation based and automata based methods, offer…

Artificial Intelligence · Computer Science 2026-02-05 Kaiyue Zhao , Dingqi Chen , Shaoyu Wang , Pan Hu

Symbolic control problems aim to synthesize control policies for dynamical systems under complex temporal specifications. For such problems, Signal Temporal Logic (STL) is increasingly used as the formal specification language due to its…

Systems and Control · Electrical Eng. & Systems 2023-05-17 Shirantha Welikala , Hai Lin , Panos J. Antsaklis

Probabilistic Computation Tree Logic (PCTL) is frequently used to formally specify control objectives such as probabilistic reachability and safety. In this work, we focus on model checking PCTL specifications statistically on Markov…

Machine Learning · Computer Science 2020-04-23 Yu Wang , Nima Roohi , Matthew West , Mahesh Viswanathan , Geir E. Dullerud

This paper offers a natural stochastic semantics of Networks of Priced Timed Automata (NPTA) based on races between components. The semantics provides the basis for satisfaction of probabilistic Weighted CTL properties (PWCTL),…

Software Engineering · Computer Science 2014-12-01 Alexandre David , Kim G. Larsen , Axel Legay , Marius Mikučionis , Danny Bøgsted Poulsen , Jonas van Vliet , Zheng Wang

Temporal Logic (TL) guided control problems have gained interests in recent years. By using the TL, one can specify a wide range of temporal constraints on the system and is widely used in cyber-physical systems. On the other hand, Control…

Systems and Control · Computer Science 2019-03-12 Guang Yang , Roberto Tron , Calin Belta

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

By algorithmic metatheorems for a model checking problem P over infinite-state systems we mean generic results that can be used to infer decidability (possibly complexity) of P not only over a specific class of infinite systems, but over a…

Logic in Computer Science · Computer Science 2009-10-28 Anthony Widjaja To , Leonid Libkin

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

Temporal reasoning in dynamic, data-intensive environments increasingly demands expressive yet tractable logical frameworks. Traditional approaches often rely on negation to express absence or contradiction. In such contexts,…

Logic in Computer Science · Computer Science 2025-09-15 Mathijs van Noort , Femke Ongenae , Pieter Bonte

We present a framework to synthesize control policies for nonlinear dynamical systems from complex temporal constraints specified in a rich temporal logic called Signal Temporal Logic (STL). We propose a novel smooth and differentiable STL…

Systems and Control · Computer Science 2019-04-29 Iman Haghighi , Noushin Mehdipour , Ezio Bartocci , Calin Belta

Time-series data can represent the behaviors of autonomous systems, such as drones and self-driving cars. The task of binary and multi-class classification for time-series data has become a prominent area of research. Neural networks…

Machine Learning · Statistics 2024-06-26 Danyang Li , Roberto Tron

We propose deterministic timed automata (DTA) as a model-independent language for specifying performance and dependability measures over continuous-time stochastic processes. Technically, these measures are defined as limit frequencies of…

Systems and Control · Computer Science 2015-03-17 Tomáš Brázdil , Jan Krčál , Jan Křetínský , Antonín Kučera , Vojtěch Řehák

In this paper, we provide a Dynamic Programming algorithm for on-line monitoring of the state robustness of Metric Temporal Logic specifications with past time operators. We compute the robustness of MTL with unbounded past and bounded…

Systems and Control · Computer Science 2014-08-04 Adel Dokhanchi , Bardh Hoxha , Georgios Fainekos

This paper proposes a specification-guided framework for control of nonlinear systems with linear temporal logic (LTL) specifications. In contrast with well-known abstraction-based methods, the proposed framework directly characterizes the…

Systems and Control · Electrical Eng. & Systems 2022-05-03 Yinan Li , Zhibing Sun , Jun Liu

Many complex systems can be described by population models, in which a pool of agents interacts and produces complex collective behaviours. We consider the problem of verifying formal properties of the underlying mathematical representation…

Logic in Computer Science · Computer Science 2017-11-13 Luca Bortolussi , Roberta Lanciani , Laura Nenzi

The use of temporal logics has long been recognised as a fundamental approach to the formal specification and verification of reactive systems. In this paper, we take on the problem of automatically verifying a temporal property, given by a…

Logic in Computer Science · Computer Science 2016-07-18 Tewodros A. Beyene , Corneliu Popeea , Andrey Rybalchenko

Signal Temporal Logic (STL) inference learns interpretable logical rules for temporal behaviors in dynamical systems. To ensure the correctness of learned STL formulas, recent approaches have incorporated conformal prediction as a…

Machine Learning · Computer Science 2026-03-31 Yixuan Wang , Danyang Li , Matthew Cleaveland , Roberto Tron , Mingyu Cai