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A modern approach to engineering correct-by-construction systems is to synthesize them automatically from formal specifications. Oftentimes, a system can only satisfy its guarantees if certain environment assumptions hold, which motivates…

Logic in Computer Science · Computer Science 2015-07-10 Roderick Bloem , Ruediger Ehlers , Robert Koenighofer

Controller synthesis is a formal method approach for automatically generating Labeled Transition System (LTS) controllers that satisfy specified properties. The efficiency of the synthesis process, however, is critically dependent on…

Artificial Intelligence · Computer Science 2025-12-18 Toshihide Ubukata , Enhong Mu , Takuto Yamauchi , Mingyue Zhang , Jialong Li , Kenji Tei

In this paper we introduce a class of Linear Temporal Logic (LTL) specifications for which the problem of synthesizing controllers can be solved in polynomial time. The new class of specifications is an LTL fragment that we term Mode-Target…

Optimization and Control · Mathematics 2016-12-20 Ayca Balkan , Moshe Vardi , Paulo Tabuada

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

G4LTL-ST automatically synthesizes control code for industrial Programmable Logic Controls (PLC) from timed behavioral specifications of input-output signals. These specifications are expressed in a linear temporal logic (LTL) extended with…

Logic in Computer Science · Computer Science 2014-05-16 Chih-Hong Cheng , Chung-Hao Huang , Harald Ruess , Stefan Stattelmann

We discuss the problem of experimentally evaluating linear-time temporal logic (LTL) synthesis tools for reactive systems. We first survey previous such work for the currently publicly available synthesis tools, and then draw conclusions by…

Logic in Computer Science · Computer Science 2011-02-22 Rüdiger Ehlers

Synthesizing a reactive system from specifications given in linear temporal logic (LTL) is a classical problem, finding its applications in safety-critical systems design. These systems are typically represented using either Mealy machines…

Artificial Intelligence · Computer Science 2026-04-28 Jan Křetínský , Tobias Meggendorfer , Maximilian Prokop

Executing a Golog program on an actual robot typically requires additional steps to account for hardware or software details of the robot platform, which can be formulated as constraints on the program. Such constraints are often temporal,…

Artificial Intelligence · Computer Science 2021-02-23 Till Hofmann , Gerhard Lakemeyer

Formal control of cyber-physical systems allows for synthesis of control strategies from rich specifications such as temporal logics. However, the classes of systems that the formal approaches can be applied to is limited due to the…

Logic in Computer Science · Computer Science 2019-09-04 Irmak Saglam , Ebru Aydin Gol

This paper studies the controller synthesis problem for Linear Temporal Logic (LTL) specifications using (constrained) zonotope techniques. First, we implement (constrained) zonotope techniques to partition the state space and further to…

Systems and Control · Electrical Eng. & Systems 2021-11-16 Wei Ren , Julien Calbert , Raphael Jungers

We extend previous work on symbolic self-triggered control for non-deterministic continuous-time nonlinear systems without stability assumptions to a larger class of specifications. Our goal is to synthesise a controller for two objectives:…

Systems and Control · Electrical Eng. & Systems 2021-12-21 Sasinee Pruekprasert , Clovis Eberhart , Jérémy Dubut

Reactive synthesis is a paradigm for automatically building correct-by-construction systems that interact with an unknown or adversarial environment. We study how to do reactive synthesis when part of the specification of the system is that…

Logic in Computer Science · Computer Science 2018-04-23 Daniel J. Fremont , Sanjit A. Seshia

Reactive synthesis addresses the problem of generating a controller for a temporal specification in an adversarial environment; it was typically studied for LTL. Driven by applications ranging from AI to business process management, LTL…

Logic in Computer Science · Computer Science 2025-08-26 Sarah Winkler

Temporal logics are powerful tools that are widely used for the synthesis and verification of reactive systems. The recent progress on Large Language Models (LLMs) has the potential to make the process of writing such specifications more…

Machine Learning · Computer Science 2024-06-12 William Murphy , Nikolaus Holzer , Nathan Koenig , Leyi Cui , Raven Rothkopf , Feitong Qiao , Mark Santolucito

The aim of this work is to address issues where formal specifications cannot be realized on a given dynamical system subjected to a changing environment. Such failures occur whenever the dynamics of the system restrict the robot in such a…

This paper studies the controller synthesis problem for nonlinear control systems under linear temporal logic (LTL) specifications using zonotope techniques. A local-to-global control strategy is proposed for the desired specification…

Systems and Control · Electrical Eng. & Systems 2024-05-03 Wei Ren , Raphael M. Jungers , Dimos V. Dimarogonas

We introduce a tableau decision method for deciding realizability of specifications expressed in a safety fragment of LTL that includes bounded future temporal operators. Tableau decision procedures for temporal and modal logics have been…

Logic in Computer Science · Computer Science 2022-06-06 Montserrat Hermo , Paqui Lucio , César Sánchez

Recent advances in learning for control allow to synthesize vehicle controllers from learned system dynamics and maintain robust stability guarantees. However, no approach is well-suited for training linear time-invariant (LTI) controllers…

Systems and Control · Electrical Eng. & Systems 2022-05-11 Marc-Antoine Beaudoin , Benoit Boulet

Designing tests to evaluate if a given autonomous system satisfies complex specifications is challenging due to the complexity of these systems. This work proposes a flow-based approach for reactive test synthesis from temporal logic…

Formal Languages and Automata Theory · Computer Science 2024-04-16 Josefine B. Graebener , Apurva S. Badithela , Denizalp Goktas , Wyatt Ubellacker , Eric V. Mazumdar , Aaron D. Ames , Richard M. Murray

We address the problem of diagnosing and repairing specifications for hybrid systems formalized in signal temporal logic (STL). Our focus is on the setting of automatic synthesis of controllers in a model predictive control (MPC) framework.…