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LTL synthesis is the problem of synthesizing a reactive system from a formal specification in Linear Temporal Logic. The extension of allowing for partial observability, where the system does not have direct access to all relevant…

Logic in Computer Science · Computer Science 2020-09-24 Lucas M. Tabajara , Moshe Y. Vardi

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

Synthesis automatically constructs an implementation that satisfies a given logical specification. In this paper, we study the live synthesis problem, where the synthesized implementation replaces an already running system. In addition to…

Logic in Computer Science · Computer Science 2021-07-05 Bernd Finkbeiner , Felix Klein , Niklas Metzger

A challenging problem for autonomous systems is to synthesize a reactive controller that conforms to a set of given correctness properties. Linear temporal logic (LTL) provides a formal language to specify the desired behavioral properties…

Formal Languages and Automata Theory · Computer Science 2019-10-08 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

Automatic synthesis from linear temporal logic (LTL) specifications is widely used in robotic motion planning, control of autonomous systems, and load distribution in power networks. A common specification pattern in such applications…

Logic in Computer Science · Computer Science 2018-04-03 Rayna Dimitrova , Mahsa Ghasemi , Ufuk Topcu

Synthesizing a program that realizes a logical specification is a classical problem in computer science. We examine a particular type of program synthesis, where the objective is to synthesize a strategy that reacts to a potentially…

Artificial Intelligence · Computer Science 2020-01-01 Alberto Camacho , Sheila A. McIlraith

Standpoint linear temporal logic SLTL is a recent formalism able to model possibly conflicting commitments made by distinct agents, taking into account aspects of temporal reasoning. In this paper, we analyse the computational properties of…

Logic in Computer Science · Computer Science 2024-08-19 Stéphane Demri , Przemysław Andrzej Wałęga

Automatic synthesis from temporal logic specifications is an attractive alternative to manual system design, due to its ability to generate correct-by-construction implementations from high-level specifications. Due to the high complexity…

Logic in Computer Science · Computer Science 2023-01-25 Philippe Heim , Rayna Dimitrova

We study the problem of realizing strategies for an LTLf goal specification while ensuring that at least an LTLf backup specification is satisfied in case of unreliability of certain input variables. We formally define the problem and…

Artificial Intelligence · Computer Science 2024-12-20 Christian Hagemeier , Giuseppe de Giacomo , Moshe Y. Vardi

The classical LTL synthesis problem is purely qualitative: the given LTL specification is realized or not by a reactive system. LTL is not expressive enough to formalize the correctness of reactive systems with respect to some quantitative…

Logic in Computer Science · Computer Science 2013-01-10 Aaron Bohy , Véronique Bruyère , Emmanuel Filiot , Jean-François Raskin

We consider the synthesis of distributed implementations for specifications in Prompt Linear Temporal Logic (PROMPT-LTL), which extends LTL by temporal operators equipped with parameters that bound their scope. For single process synthesis…

Logic in Computer Science · Computer Science 2016-09-15 Swen Jacobs , Leander Tentrup , Martin Zimmermann

We introduce LTLf+ and PPLTL+, two logics to express properties of infinite traces, that are based on the linear-time temporal logics LTLf and PPLTL on finite traces. LTLf+/PPLTL+ use levels of Manna and Pnueli's LTL safety-progress…

Logic in Computer Science · Computer Science 2024-11-15 Benjamin Aminof , Giuseppe De Giacomo , Sasha Rubin , Moshe Y. Vardi

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

Reactive synthesis is a key technique for the design of correct-by-construction systems and has been thoroughly investigated in the last decades. It consists in the synthesis of a controller that reacts to environment's inputs satisfying a…

Formal Languages and Automata Theory · Computer Science 2020-08-13 Alessandro Cimatti , Luca Geatti , Nicola Gigante , Angelo Montanari , Stefano Tonetta

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

We consider the synthesis of distributed implementations for specifications in parameterized temporal logics such as PROMPT-LTL, which extends LTL by temporal operators equipped with parameters that bound their scope. For single process…

Logic in Computer Science · Computer Science 2018-02-28 Swen Jacobs , Leander Tentrup , Martin Zimmermann

Given a specification of linear-time temporal logic interpreted over finite traces (LTLf), the reactive synthesis problem asks to find a finitely-representable, terminating controller that reacts to the uncontrollable actions of an…

Formal Languages and Automata Theory · Computer Science 2022-12-22 Luca Geatti , Marco Montali , Andrey Rivkin

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 study the program complexity of datalog on both finite and infinite linear orders. Our main result states that on all linear orders with at least two elements, the nonemptiness problem for datalog is EXPTIME-complete. While containment…

Logic in Computer Science · Computer Science 2015-07-01 Martin Grohe , Goetz Schwandtner

Linear Temporal Logic (LTL) is a widely used task specification language for autonomous systems. To mitigate the significant manual effort and expertise required to define LTL-encoded tasks, several methods have been proposed for…

Computation and Language · Computer Science 2026-02-23 David Smith Sundarsingh , Jun Wang , Jyotirmoy V. Deshmukh , Yiannis Kantaros
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