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The reactive synthesis problem is to find a finite-state controller that satisfies a given temporal-logic specification regardless of how its environment behaves. Developing a formal specification is a challenging and tedious task and…

Logic in Computer Science · Computer Science 2013-08-20 Rajeev Alur , Salar Moarref , Ufuk Topcu

This paper presents a novel method of synthesizing a fragment of a timed discrete event system(TDES),introducing a novel linear temporal logic(LTL), called ticked LTL$_f$. The ticked LTL$_f$ is given as an extension to LTL$_f$, where the…

Systems and Control · Electrical Eng. & Systems 2019-12-06 Takuma Kinugawa , Kazumune Hashimoto , Toshimitsu Ushio

While most approaches in formal methods address system correctness, ensuring robustness has remained a challenge. In this paper we present and study the logic rLTL which provides a means to formally reason about both correctness and…

Logic in Computer Science · Computer Science 2022-01-20 Tzanis Anevlavis , Matthew Philippe , Daniel Neider , Paulo Tabuada

We present a method for learning multi-stage tasks from demonstrations by learning the logical structure and atomic propositions of a consistent linear temporal logic (LTL) formula. The learner is given successful but potentially suboptimal…

Robotics · Computer Science 2020-06-04 Glen Chou , Necmiye Ozay , Dmitry Berenson

We present an overview on Temporal Logic Programming under the perspective of its application for Knowledge Representation and declarative problem solving. Such programs are the result of combining usual rules with temporal modal operators,…

Artificial Intelligence · Computer Science 2021-11-29 Felicidad Aguado , Pedro Cabalar , Martin Dieguez , Gilberto Perez , Torsten Schaub , Anna Schuhmann , Concepcion Vidal

We investigate the problem of optimal control synthesis for Markov Decision Processes (MDPs), addressing both qualitative and quantitative objectives. Specifically, we require the system to satisfy a qualitative task specified by a Linear…

Systems and Control · Electrical Eng. & Systems 2025-09-19 Yu Chen , Xuanyuan Yin , Shaoyuan Li , Xiang Yin

Reinforcement learning has been applied to many interesting problems such as the famous TD-gammon and the inverted helicopter flight. However, little effort has been put into developing methods to learn policies for complex persistent tasks…

Artificial Intelligence · Computer Science 2016-06-22 Xiao Li , Calin Belta

Timed Automata (TA) is de facto a standard modelling formalism to represent systems when the interest is the analysis of their behaviour as time progresses. This modelling formalism is mostly used for checking whether the behaviours of a…

Logic in Computer Science · Computer Science 2019-09-11 Claudio Menghi , Marcello Bersani , Matteo Rossi , Pierluigi San Pietro

Reactive synthesis algorithms allow automatic construction of policies to control an environment modeled as a Markov Decision Process (MDP) that are optimal with respect to high-level temporal logic specifications. However, they assume that…

Formal Languages and Automata Theory · Computer Science 2022-05-31 Rajeev Alur , Suguman Bansal , Osbert Bastani , Kishor Jothimurugan

We study synthesis for obligation properties expressed in LTLfp, the extension of LTLf to infinite traces. Obligation properties are positive Boolean combinations of safety and guarantee (co-safety) properties and form the second level of…

Logic in Computer Science · Computer Science 2026-04-21 Giuseppe De Giacomo , Christian Hagemeier , Daniel Hausmann , Nir Piterman

Temporal logics have been studied as an approach to the specification of hyperproperties, resulting in the conception of "hyperlogics". With a few recent exceptions, the hyperlogics thus far developed can only relate different traces of a…

Logic in Computer Science · Computer Science 2024-02-06 Jens Oliver Gutsfeld , Arne Meier , Christoph Ohrem , Jonni Virtema

Most algorithms for the synthesis of reactive systems focus on the construction of finite-state machines rather than actual programs. This often leads to badly structured, unreadable code. In this paper, we present a bounded synthesis…

Formal Languages and Automata Theory · Computer Science 2018-07-25 Carsten Gerstacker , Felix Klein , Bernd Finkbeiner

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2021-04-30 Daniel Neider , Alexander Weinert , Martin Zimmermann

Alternating timed automata (ATA) are an extension of timed automata, that are closed under complementation and hence amenable to logic-to-automata translations. Several timed logics, including Metric Temporal Logic (MTL), can be converted…

Logic in Computer Science · Computer Science 2026-01-07 Patricia Bouyer , B Srivathsan , Vaishnavi Vishwanath

Synthesis techniques take realizable Linear Temporal Logic specifications and produce correct cir- cuits that implement the specifications. The generated circuits can be used directly, or as miters that check the correctness of a logic…

Formal Languages and Automata Theory · Computer Science 2014-01-16 Mohamad Noureddine , Fadi A. Zaraket , Ali S. Elzein

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

Temporal logic is a framework for representing and reasoning about propositions that evolve over time. It is commonly used for specifying requirements in various domains, including hardware and software systems, as well as robotics.…

Computation and Language · Computer Science 2024-06-03 İlker Işık , Ebru Aydin Gol , Ramazan Gokberk Cinbis

This paper revisits the classical notion of sampling in the setting of real-time temporal logics for the modeling and analysis of systems. The relationship between the satisfiability of Metric Temporal Logic (MTL) formulas over…

Logic in Computer Science · Computer Science 2015-03-13 Carlo A. Furia , Matteo Rossi

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

In this work, we propose a novel method to find temporal properties that lead to the unexpected behaviors from labeled dataset. We express these properties in past time Signal Temporal Logic (ptSTL). First, we present a novel approach for…

Logic in Computer Science · Computer Science 2019-04-17 Mert Ergurtuna , Ebru Aydin Gol