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Autonomous control systems use various sensors to decrease the amount of uncertainty under which they operate. While providing partial observation of the current state of the system, sensors require resources such as energy, time and…

Logic in Computer Science · Computer Science 2016-02-29 Eva Tesarova , Maria Svorenova , Jiri Barnat , Ivana Cerna

Signal Temporal Logic (STL) is a formal language over continuous-time signals (such as trajectories of a multi-agent system) that allows for the specification of complex spatial and temporal system requirements (such as staying sufficiently…

Robotics · Computer Science 2023-10-17 Joris Verhagen , Lars Lindemann , Jana Tumova

A Metric Interval Temporal Logic (MITL) verification algorithm is presented. It verifies continuous-time signals without relying on high frequency sampling. Instead, it is assumed that collections of over- and under-approximating intervals…

Logic in Computer Science · Computer Science 2022-08-30 Daniel Selvaratnam , Michael Cantoni , J. M. Davoren , Iman Shames

Timed Automata (TA) are a very popular modeling formalism for systems with time-sensitive properties. A common task is to verify if a network of TA satisfies a given property, usually expressed in Linear Temporal Logic (LTL), or in a subset…

Logic in Computer Science · Computer Science 2021-04-27 Robert L. Smith , Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

Real-time and human-interpretable decision-making in cyber-physical systems is a significant but challenging task, which usually requires predictions of possible future events from limited data. In this paper, we introduce a…

Machine Learning · Computer Science 2021-12-30 Erfan Aasi , Mingyu Cai , Cristian Ioan Vasile , Calin Belta

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

Past research into robotic planning with temporal logic specifications, notably Linear Temporal Logic (LTL), was largely based on a single formula for individual or groups of robots. But with increasing task complexity, LTL formulas…

Robotics · Computer Science 2024-05-27 Xusheng Luo , Shaojun Xu , Ruixuan Liu , Changliu Liu

In this paper, we consider a formulation of nonlinear constrained optimization problems. We reformulate it as a time-varying optimization using continuous-time parametric functions and derive a dynamical system for tracking the optimal…

Optimization and Control · Mathematics 2024-06-11 Mohsen Amidzadeh

The state-of-the-art in optimal control from timed temporal logic specifications, including Metric Temporal Logic (MTL) and Signal Temporal Logic (STL), is based on Mixed-Integer Convex Programming (MICP). The standard MICP approach is…

Systems and Control · Electrical Eng. & Systems 2021-12-03 Vince Kurtz , Hai Lin

Model checking for real-timed systems is a rich and diverse topic. Among the different logics considered, Metric Interval Temporal Logic (MITL) is a powerful and commonly used logic, which can succinctly encode many interesting timed…

Formal Languages and Automata Theory · Computer Science 2026-05-19 S. Akshay , Prerak Contractor , Paul Gastin , R. Govind , B. Srivathsan

We consider the problem of generating randomized control sequences for complex networked systems typically actuated by human agents. Our approach leverages a concept known as control improvisation, which is based on a combination of…

Systems and Control · Computer Science 2016-11-18 Ilge Akkaya , Daniel J. Fremont , Rafael Valle , Alexandre Donzé , Edward A. Lee , Sanjit A. Seshia

Metric Interval Temporal Logic (MITL) is a popular formalism for specifying properties of reactive systems with timing constraints. Existing approaches to using MITL in verification tasks, however, have notable drawbacks: they either…

Formal Languages and Automata Theory · Computer Science 2025-10-03 Hsi-Ming Ho , Shankara Narayanan Krishna , Khushraj Madnani , Rupak Majumdar , Paritosh Pandya

We introduce a metric that can quantify the temporal relaxation of Signal Temporal Logic (STL) specifications and facilitate resilient control synthesis in the face of infeasibilities. The proposed metric quantifies a cumulative notion of…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Ali Tevfik Buyukkocak , Derya Aksaray

The temporal logics LTLf+ and PPLTL+ have recently been proposed to express objectives over infinite traces. These logics are appealing because they match the expressive power of LTL on infinite traces while enabling efficient DFA-based…

Formal Languages and Automata Theory · Computer Science 2025-05-26 Giuseppe De Giacomo , Yong Li , Sven Schewe , Christoph Weinhuber , Pian Yu

Signal temporal logic (STL) provides a user-friendly interface for defining complex tasks for robotic systems. Recent efforts aim at designing control laws or using reinforcement learning methods to find policies which guarantee…

Systems and Control · Computer Science 2019-03-12 Peter Varnai , Dimos V. Dimarogonas

It is known that Metric Temporal Logic (MTL) is strictly less expressive than the Monadic First-Order Logic of Order and Metric (FO[<, +1]) when interpreted over timed words; this remains true even when the time domain is bounded a priori.…

Logic in Computer Science · Computer Science 2023-06-22 Hsi-Ming Ho , Joël Ouaknine , James Worrell

It is well known that the most challenging question in optimization and discrete geometry is whether there is a strongly polynomial time simplex algorithm for linear programs (LPs). This paper gives a positive answer to this question by…

Optimization and Control · Mathematics 2022-10-03 Zi-zong Yan , Xiang-jun Li , Jinhai Guo

Our goal is to study the feasibility of porting termination analysis techniques developed for one programming paradigm to another paradigm. In this paper, we show how to adapt termination analysis techniques based on polynomial…

Programming Languages · Computer Science 2009-12-23 Manh Thang Nguyen , Danny De Schreye , Jürgen Giesl , Peter Schneider-Kamp

This paper studies temporal planning in probabilistic environments, modeled as labeled Markov decision processes (MDPs), with user preferences over multiple temporal goals. Existing works reflect such preferences as a prioritized list of…

Formal Languages and Automata Theory · Computer Science 2023-04-25 Lening Li , Hazhar Rahmani , Jie Fu

One of the advantages of adopting a Model Based Development (MBD) process is that it enables testing and verification at early stages of development. However, it is often desirable to not only verify/falsify certain formal system…

Logic in Computer Science · Computer Science 2017-02-07 Bardh Hoxha , Adel Dokhanchi , Georgios Fainekos