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We consider the decidability of state-to-state reachability in linear time-invariant control systems over continuous time. We analyse this problem with respect to the allowable control sets, which are assumed to be the image under a linear…

Optimization and Control · Mathematics 2021-03-16 Mohan Dantam , Amaury Pouly

The paper studies the expressivity, relative succinctness and complexity of satisfiability for hybrid extensions of the branching-time logics CTL and CTL+ by variables. Previous complexity results show that only fragments with one variable…

Logic in Computer Science · Computer Science 2015-05-13 Ahmet Kara , Martin Lange , Thomas Schwentick , Volker Weber

Temporal logics over finite traces have recently seen wide application in a number of areas, from business process modelling, monitoring, and mining to planning and decision making. However, real-life dynamic systems contain a degree of…

Logic in Computer Science · Computer Science 2019-11-19 Fabrizio M. Maggi , Marco Montali , Rafael Peñaloza

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

Standpoint linear temporal logic ($SLTL$) is a recently introduced extension of classical linear temporal logic ($LTL$) with standpoint modalities. Intuitively, these modalities allow to express that, from agent $a$'s standpoint, it is…

Logic in Computer Science · Computer Science 2025-02-28 Rajab Aghamov , Christel Baier , Toghrul Karimov , Rupak Majumdar , Joël Ouaknine , Jakob Piribauer , Timm Spork

Propositional Linear Temporal Logic (LTL) is a popular formalism for specifying desirable requirements and security and privacy policies for software, networks, and systems. Yet expressing such requirements and policies in LTL remains…

Logic in Computer Science · Computer Science 2026-04-09 Priscilla Kyei Danso , Mohammad Saqib Hasan , Niranjan Balasubramanian , Omar Chowdhury

An important problem that arises during the execution of service-based applications concerns the ability to determine whether a running service can be substituted with one with a different interface, for example if the former is no longer…

Logic in Computer Science · Computer Science 2010-04-19 Marcello M. Bersani , Luca Cavallaro , Achille Frigeri , Matteo Pradella , Matteo Rossi

There is a growing interest on formal methods-based robotic planning for temporal logic objectives. In this work, we extend the scope of existing synthesis methods to hyper-temporal logics. We are motivated by the fact that important…

Robotics · Computer Science 2020-04-30 Yu Wang , Siddhartha Nalluri , Miroslav Pajic

The satisfiability problem of the branching time logic CTL is studied in terms of computational complexity. Tight upper and lower bounds are provided for each temporal operator fragment. In parallel, the minimal model size is studied with a…

Logic in Computer Science · Computer Science 2017-02-27 Martin Lück

In this paper we address the decision problem for a fragment of set theory with restricted quantification which extends the language studied in [4] with pair related quantifiers and constructs, in view of possible applications in the field…

Logic in Computer Science · Computer Science 2012-10-10 Domenico Cantone , Cristiano Longo

Defeasible logic is a rule-based nonmonotonic logic, with both strict and defeasible rules, and a priority relation on rules. We show that inference in the propositional form of the logic can be performed in linear time. This contrasts…

Artificial Intelligence · Computer Science 2009-09-29 Michael J. Maher

Linear temporal logic (LTL) has recently been adopted as a powerful formalism for specifying complex, temporally extended tasks in multi-task reinforcement learning (RL). However, learning policies that efficiently satisfy arbitrary…

Artificial Intelligence · Computer Science 2025-04-01 Mathias Jackermeier , Alessandro Abate

This paper presents an ongoing work that is part of a more wide-ranging project whose final scope is to define a method to validate LTL formulas w.r.t. a program written in the timed concurrent constraint language tccp, which is a logic…

Logic in Computer Science · Computer Science 2013-08-21 Marco Comini , Laura Titolo , Alicia Villanueva

While the complexity of translating future linear temporal logic (LTL) into automata on infinite words is well-understood, the size increase involved in turning automata back to LTL is not. In particular, there is no known elementary bound…

Formal Languages and Automata Theory · Computer Science 2022-05-10 Udi Boker , Karoliina Lehtinen , Salomon Sickert

Planning is one of the most studied problems in computer science. In this paper, we consider the timeline-based approach, where the domain is modeled by a set of independent, but interacting, components, identified by a set of state…

Formal Languages and Automata Theory · Computer Science 2019-04-22 Laura Bozzelli , Alberto Molinari , Angelo Montanari , Adriano Peron

Control synthesis from temporal logic specifications has gained popularity in recent years. In this paper, we use a model predictive approach to control discrete time linear systems with additive bounded disturbances subject to constraints…

Systems and Control · Computer Science 2016-05-24 Sadra Sadraddini , Calin Belta

We propose LeanLTL, a unifying framework for linear temporal logics in Lean 4. LeanLTL supports reasoning about traces that represent either infinite or finite linear time. The library allows traditional LTL syntax to be combined with…

Logic in Computer Science · Computer Science 2025-07-03 Eric Vin , Kyle A. Miller , Daniel J. Fremont

Recent work has addressed using formulas in linear temporal logic (LTL) as specifications for agents planning in Markov Decision Processes (MDPs). We consider the inverse problem: inferring an LTL specification from demonstrated behavior…

Systems and Control · Computer Science 2017-11-02 Daniel Kasenberg , Matthias Scheutz

LTL is frequently used to express specifications in many domains such as embedded systems or business processes. Witnesses can help to understand why an LTL specification is satisfiable, and a number of approaches exist to make…

Logic in Computer Science · Computer Science 2013-06-13 Viktor Schuppan

This paper describes a technique for inferring temporal-logic properties for sets of finite data streams. Such data streams arise in many domains, including server logs, program testing, and financial and marketing data; temporal-logic…

Logic in Computer Science · Computer Science 2020-06-09 Samuel Huang , Rance Cleaveland