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Reactive synthesis from high-level specifications that combine hard constraints expressed in Linear Temporal Logic LTL with soft constraints expressed by discounted-sum (DS) rewards has applications in planning and reinforcement learning.…

Artificial Intelligence · Computer Science 2022-05-24 Suguman Bansal , Lydia Kavraki , Moshe Y. Vardi , Andrew Wells

We study the problem of plan synthesis for multi-agent systems, to achieve complex, high-level, long-term goals that are assigned to each agent individually. As the agents might not be capable of satisfying their respective goals by…

Systems and Control · Computer Science 2016-10-27 Jana Tumova , Dimos V. Dimarogonas

Temporal logic specifications play an important role in a wide range of software analysis tasks, such as model checking, automated synthesis, program comprehension, and runtime monitoring. Given a set of positive and negative examples,…

Software Engineering · Computer Science 2025-01-03 Changjian Zhang , Parv Kapoor , Ian Dardik , Leyi Cui , Romulo Meira-Goes , David Garlan , Eunsuk Kang

We investigate the decidability of the ${0,\infty}$ fragment of Timed Propositional Temporal Logic (TPTL). We show that the satisfiability checking of TPTL$^{0,\infty}$ is PSPACE-complete. Moreover, even its 1-variable fragment…

Logic in Computer Science · Computer Science 2023-09-04 Shankara Narayanan Krishna , Khushraj Nanik Madnani , Rupak Majumdar , Paritosh K. Pandya

In this paper the problem of cooperative task planning of multi-agent systems when timed constraints are imposed to the system is investigated. We consider timed constraints given by Metric Interval Temporal Logic (MITL). We propose a…

Systems and Control · Computer Science 2015-10-01 Alexandros Nikou , Jana Tumova , Dimos V. Dimarogonas

We consider the setting of component-based design for real-time systems with critical timing constraints. Based on our earlier work, we propose a compositional specification theory for timed automata with I/O distinction, which supports…

Software Engineering · Computer Science 2012-06-21 Chris Chilton , Marta Kwiatkowska , Xu Wang

We propose a variant of the Rapidly Exploring Random Tree Star (RRT$^{\star}$) algorithm to synthesize trajectories satisfying a given spatio-temporal specification expressed in a fragment of Signal Temporal Logic (STL) for linear systems.…

Systems and Control · Electrical Eng. & Systems 2025-06-13 Gregorio Marchesini , Siyuan Liu , Lars Lindemann , Dimos V. Dimarogonas

This paper proposes a new highly scalable and asymptotically optimal control synthesis algorithm from linear temporal logic specifications, called $\text{STyLuS}^{*}$ for large-Scale optimal Temporal Logic Synthesis, that is designed to…

Robotics · Computer Science 2020-04-09 Yiannis Kantaros , Michael M. Zavlanos

This paper explores the theoretical limits of using discrete abstractions for nonlinear control synthesis. More specifically, we consider the problem of deciding continuous-time control with temporal logic specifications. We prove that…

Systems and Control · Computer Science 2019-03-18 Jun Liu

In this paper we study the problem of synthesizing optimal control policies for uncertain continuous-time nonlinear systems from syntactically co-safe linear temporal logic (scLTL) formulas. We formulate this problem as a sequence of…

Systems and Control · Electrical Eng. & Systems 2021-04-16 Max Cohen , Calin Belta

Many constraints restricting the result of some computations over an integer sequence can be compactly represented by register automata. We improve the propagation of the conjunction of such constraints on the same sequence by synthesising…

Artificial Intelligence · Computer Science 2019-01-29 Ekaterina Arafailova , Nicolas Beldiceanu , Helmut Simonis

We design controllers from formal specifications for positive discrete-time monotone systems that are subject to bounded disturbances. Such systems are widely used to model the dynamics of transportation and biological networks. The…

Systems and Control · Computer Science 2018-03-20 Sadra Sadraddini , Calin Belta

Many safety-critical systems must achieve high-level task specifications with guaranteed safety and correctness. Much recent progress towards this goal has been made through controller synthesis from signal temporal logic (STL)…

Robotics · Computer Science 2018-10-23 Rafael Rodrigues da Silva , Hai Lin

Synchronous systems provide a basic model of embedded systems and industrial systems are modeled as Simulink diagrams and/or Lustre programs. Although the test generation problem is critical in the development of safe systems, it often…

Software Engineering · Computer Science 2021-12-13 Daisuke Ishii , Takashi Tomita , Kenji Onishi , Toshiaki Aoki

Program synthesis is the task of automatically constructing a program conforming to a given specification. In this paper we focus on synthesis of single-invocation recursion-free functions conforming to a specification given as a logical…

Logic in Computer Science · Computer Science 2025-08-19 Petra Hozzová , Nikolaj Bjørner

Several methods have been proposed recently to learn neural network (NN) controllers for autonomous agents, with unknown and stochastic dynamics, tasked with complex missions captured by Linear Temporal Logic (LTL). Due to the…

Robotics · Computer Science 2023-11-23 Jun Wang , Haojun Chen , Zihe Sun , Yiannis Kantaros

We study LTLf synthesis with multiple properties, where satisfying all properties may be impossible. Instead of enumerating subsets of properties, we compute in one fixed-point computation the relation between product-game states and the…

Artificial Intelligence · Computer Science 2026-01-16 Christoph Weinhuber , Yannik Schnitzer , Alessandro Abate , David Parker , Giuseppe De Giacomo , Moshe Y. Vardi

We formalize synthesis of shared control protocols with correctness guarantees for temporal logic specifications. More specifically, we introduce a modeling formalism in which both a human and an autonomy protocol can issue commands to a…

Robotics · Computer Science 2016-10-28 Nils Jansen , Murat Cubuktepe , Ufuk Topcu

We present an approach to automatically synthesize synchronized models from lightweight formal specifications. Our approach takes as input a specification of a distributed system along with a global linear time constraint, which must be…

Software Engineering · Computer Science 2025-02-20 Pablo F. Castro , Luciano Putruele , Renzo Degiovanni , Nazareno Aguirre

The problem of LTLf reactive synthesis is to build a transducer, whose output is based on a history of inputs, such that, for every infinite sequence of inputs, the conjoint evolution of the inputs and outputs has a prefix that satisfies a…

Formal Languages and Automata Theory · Computer Science 2025-07-04 Alexandre Duret-Lutz , Shufang Zhu , Nir Piterman , Giuseppe de Giacomo , Moshe Y Vardi