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Related papers: Deciding the Satisfiability of MITL Specifications

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Legal properties involve reasoning about data values and time. Metric first-order temporal logic (MFOTL) provides a rich formalism for specifying legal properties. While MFOTL has been successfully used for verifying legal properties over…

Software Engineering · Computer Science 2023-05-30 Nick Feng , Lina Marsso , Mehrdad Sabetzadeh , Marsha Chechik

We study two unary fragments of the well-known metric interval temporal logic MITL[U_I,S_I] that was originally proposed by Alur and Henzinger, and we pin down their expressiveness as well as satisfaction complexities. We show that…

Logic in Computer Science · Computer Science 2013-05-16 Paritosh K. Pandya , Simoni S. Shah

The paper presents a methodology for temporal logic verification of continuous-time switched stochastic systems. Our goal is to find the lower bound on the probability that a complex temporal property is satisfied over a finite time…

Logic in Computer Science · Computer Science 2021-09-28 Mahathi Anand , Pushpak Jagtap , Majid Zamani

Robotic systems operating in dynamic and uncertain environments increasingly require planners that satisfy complex task sequences while adhering to strict temporal constraints. Metric Interval Temporal Logic (MITL) offers a formal and…

Robotics · Computer Science 2026-01-05 Zhaoan Wang , Junchao Li , Mahdi Mohammad , Shaoping Xiao

Motion planning of an autonomous system with high-level specifications has wide applications. However, research of formal languages involving timed temporal logic is still under investigation. Furthermore, many existing results rely on a…

Robotics · Computer Science 2022-02-15 Zhiliang Li , Mingyu Cai , Shaoping Xiao , Zhen Kan

We investigate the satisfaction of specifications in Prompt Linear Temporal Logic (Prompt-LTL) by concurrent systems. Prompt-LTL is an extension of LTL that allows to specify parametric bounds on the satisfaction of eventualities, thus…

Logic in Computer Science · Computer Science 2019-11-18 Swen Jacobs , Mouhammad Sakr , Martin Zimmermann

Runtime verification encompasses several lightweight techniques for checking whether a system's current execution satisfies a given specification. We focus on runtime verification for Linear Temporal Logic (LTL). Previous work describes…

Logic in Computer Science · Computer Science 2025-08-12 Javier Esparza , Vincent Fischer

The expressive power of interval temporal logics (ITLs) makes them one of the most natural choices in a number of application domains, ranging from the specification and verification of complex reactive systems to automated planning.…

Logic in Computer Science · Computer Science 2023-06-22 Laura Bozzelli , Alberto Molinari , Angelo Montanari , Adriano Peron , Pietro Sala

The model-checking problem for hybrid systems is a well known challenge in the scientific community. Most of the existing approaches and tools are limited to safety properties only, or operates by transforming the hybrid system to be…

Logic in Computer Science · Computer Science 2013-08-27 Davide Bresolin

Satisfiability modulo theories (SMT) is a core tool in formal verification. While the SMT-LIB specification language can be used to interact with theorem proving software, a high-level interface allows for faster and easier specifications…

Logic in Computer Science · Computer Science 2024-12-05 Emiko Soroka , Mykel J. Kochenderfer , Sanjay Lall

The problem of model-checking hybrid systems is a long-time challenge in the scientific community. Most of the existing approaches and tools are either limited on the properties that they can verify, or restricted to simplified classes of…

Logic in Computer Science · Computer Science 2013-07-18 Davide Bresolin

Temporal stream logic (TSL) extends LTL with updates and predicates over arbitrary function terms. This allows for specifying data-intensive systems for which LTL is not expressive enough. In the semantics of TSL, functions and predicates…

Logic in Computer Science · Computer Science 2022-01-26 Bernd Finkbeiner , Philippe Heim , Noemi Passing

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

This paper presents a range of quantitative extensions for the temporal logic CTL. We enhance temporal modalities with the ability to constrain the number of states satisfying certain sub-formulas along paths. By selecting the combinations…

Logic in Computer Science · Computer Science 2015-07-01 François Laroussinie , Antoine Meyer , Eudes Petonnet

This paper shows that the satisfiability problem for probabilistic CTL (PCTL, for short) is undecidable. By a reduction from $1\frac{1}{2}$-player games with PCTL winning objectives, we establish that the PCTL satisfiability problem is…

Logic in Computer Science · Computer Science 2015-12-01 Souymodip Chakraborty , Joost-Pieter Katoen

Constant-rate multi-mode systems (MMS) are hybrid systems with finitely many modes and real-valued variables that evolve over continuous time according to mode-specific constant rates. We introduce a variant of linear temporal logic (LTL)…

Logic in Computer Science · Computer Science 2023-04-28 Michael Blondin , Philip Offtermatt , Alex Sansfaçon-Buchanan

In this paper, we present an optimization based method for path planning of a mobile robot subject to time bounded temporal constraints, in a dynamic environment. Temporal logic (TL) can address very complex task specification such as…

Systems and Control · Computer Science 2016-04-29 Yuchen Zhou , Dipankar Maity , John S. Baras

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of hybrid systems. In this paper, we propose an interval method for verifying the properties described by a bounded linear temporal logic. We…

Logic in Computer Science · Computer Science 2015-07-15 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

We consider the problem of bounded model checking (BMC) for linear temporal logic (LTL). We present several efficient encodings that have size linear in the bound. Furthermore, we show how the encodings can be extended to LTL with past…

Logic in Computer Science · Computer Science 2017-01-11 Armin Biere , Keijo Heljanko , Tommi Junttila , Timo Latvala , Viktor Schuppan

In this paper, we consider the robot motion (or task) planning problem under some given time bounded high level specifications. We use metric interval temporal logic (MITL), a member of the temporal logic family, to represent the task…

Systems and Control · Computer Science 2016-03-30 Yuchen Zhou , Dipankar Maity , John S. Baras