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Our paper investigates the linear logic of knowledge and time LTK_r with reflexive intransitive time relation. The logic is defined semantically, -- as the set of formulas which are true at special frames with intransitive and reflexive…

Logic in Computer Science · Computer Science 2014-07-29 Alexandra Lukyanchuk , Vladimir Rybakov

The paper is focused on temporal logics for the description of the behaviour of real-time pushdown reactive systems. The paper is motivated to bridge tractable logics specialized for expressing separately dense-time real-time properties and…

Logic in Computer Science · Computer Science 2018-08-16 Laura Bozzelli , Aniello Murano , Adriano Peron

Linear Temporal Logic (LTL) is the standard specification language for reactive systems and is successfully applied in industrial settings. However, many shortcomings of LTL have been identified in the literature, among them the limited…

Logic in Computer Science · Computer Science 2021-04-30 Daniel Neider , Alexander Weinert , Martin Zimmermann

The use of spatio-temporal logics in control is motivated by the need to impose complex spatial and temporal behavior on dynamical systems, and to control these systems accordingly. Synthesizing correct-by-design control laws is a…

Formal Languages and Automata Theory · Computer Science 2020-03-26 Lars Lindemann , Dimos V. Dimarogonas

We study multi-task reinforcement learning (RL), a setting in which an agent learns a single, universal policy capable of generalising to arbitrary, possibly unseen tasks. We consider tasks specified as linear temporal logic (LTL) formulae,…

Artificial Intelligence · Computer Science 2026-02-09 Alessandro Abate , Giuseppe De Giacomo , Mathias Jackermeier , Jan Kretínský , Maximilian Prokop , Christoph Weinhuber

We revisit a fundamental result in real-time verification, namely that the binary reachability relation between configurations of a given timed automaton is definable in linear arithmetic over the integers and reals. In this paper we give a…

Logic in Computer Science · Computer Science 2017-04-20 Karin Quaas , Mahsa Shirmohammadi , James Worrell

In this paper we propose a many-valued temporal conditional logic. We start from a many-valued logic with typicality, and extend it with the temporal operators of the Linear Time Temporal Logic (LTL), thus providing a formalism which is…

Logic in Computer Science · Computer Science 2024-09-17 Mario Alviano , Laura Giordano , Daniele Theseider Dupré

We present a hierarchical framework for analysing propositional linear-time temporal logic (PTL) to obtain standard results such as a small model property, decision procedures and axiomatic completeness. Both finite time and infinite time…

Logic in Computer Science · Computer Science 2007-05-23 Ben Moszkowski

This article examines the interpretation of the LTL temporal operators over finite and infinite sequences. This is used as the basis for deriving a sound and complete axiomatization for Caret, a recent temporal logic for reasoning about…

Logic in Computer Science · Computer Science 2007-05-23 Riccardo Pucella

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

Temporal and dynamic extensions of Answer Set Programming (ASP) have played an important role in addressing dynamic problems, as they allow the use of temporal operators to reason with dynamic scenarios in a very effective way. In my Ph.D.…

Artificial Intelligence · Computer Science 2021-09-20 Susana Hahn

Parametric timed automata extend timed automata (Alur and Dill, 1991) in that they allow the specification of parametric bounds on the clock values. Since their introduction in 1993 by Alur, Henzinger, and Vardi, it is known that the…

Logic in Computer Science · Computer Science 2014-04-02 Karin Quaas

Propositional linear time temporal logic (LTL) is the standard temporal logic for computing applications and many reasoning techniques and tools have been developed for it. Tableaux for deciding satisfiability have existed since the 1980s.…

Logic in Computer Science · Computer Science 2016-04-15 Mark Reynolds

Whereas standard treatments of temporal logic are adequate for closed systems, having no run-time interactions with their environment, they fall short for reactive systems, interacting with their environments through synchronisation of…

Logic in Computer Science · Computer Science 2020-09-01 Rob van Glabbeek

We develop a timeout based extension of propositional linear temporal logic (which we call TLTL) to specify timing properties of timeout based models of real time systems. TLTL formulas explicitly refer to a running global clock together…

Logic in Computer Science · Computer Science 2010-12-20 Janardan Misra , Suman Roy

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

In multi-agent system design, a crucial aspect is to ensure robustness, meaning that for a coalition of agents A, small violations of adversarial assumptions only lead to small violations of A's goals. In this paper we introduce a logical…

Logic in Computer Science · Computer Science 2023-07-21 Aniello Murano , Daniel Neider , Martin Zimmermann

In this short note, we are concerned with the fairness condition "A and B hold almost equally often", which is important for specifying and verifying the correctness of non-terminating processes and protocols. We introduce the logic of…

Logic in Computer Science · Computer Science 2023-06-05 Thomas Studer

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 consider the problem of learning temporal logic formulas from examples of system behavior. Learning temporal properties has crystallized as an effective mean to explain complex temporal behaviors. Several efficient algorithms have been…

Logic in Computer Science · Computer Science 2024-08-09 Benjamin Bordais , Daniel Neider , Rajarshi Roy