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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

We settle the complexity of satisfiability, finite-state satisfiability, and model-checking for generalized HyperLTL with stuttering and contexts, an expressive logic for the specification of asynchronous hyperproperties. Such properties…

Logic in Computer Science · Computer Science 2025-11-11 Gaëtan Regaud , Martin Zimmermann

Model checking approaches can be divided into two broad categories: global approaches that determine the set of all states in a model M that satisfy a temporal logic formula f, and local approaches in which, given a state s in M, the…

Logic in Computer Science · Computer Science 2014-10-29 Diego Latella , Michele Loreti , Mieke Massink

While most approaches in formal methods address system correctness, ensuring robustness has remained a challenge. In this paper we present and study the logic rLTL which provides a means to formally reason about both correctness and…

Logic in Computer Science · Computer Science 2022-01-20 Tzanis Anevlavis , Matthew Philippe , Daniel Neider , Paulo Tabuada

It is widely accepted that every system should be robust in that ``small'' violations of environment assumptions should lead to ``small'' violations of system guarantees, but it is less clear how to make this intuition mathematically…

Logic in Computer Science · Computer Science 2024-01-23 Satya Prakash Nayak , Daniel Neider , Rajarshi Roy , Martin Zimmermann

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 2019-09-19 Daniel Neider , Alexander Weinert , Martin Zimmermann

We study the satisfiability and model-checking problems for timed hyperproperties specified with HyperMTL, a timed extension of HyperLTL. Depending on whether interleaving of events in different traces is allowed, two possible semantics can…

Logic in Computer Science · Computer Science 2018-12-27 Hsi-Ming Ho , Ruoyu Zhou , Timothy M. Jones

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

Model checking linear-time properties expressed in first-order logic has non-elementary complexity, and thus various restricted logical languages are employed. In this paper we consider two such restricted specification logics, linear…

Logic in Computer Science · Computer Science 2019-03-14 Michael Benedikt , Rastislav Lenhardt , James Worrell

This paper presents a transformational approach for model checking two important classes of metric temporal logic (MTL) properties, namely, bounded response and minimum separation, for nonhierarchical object-oriented Real-Time Maude…

Logic in Computer Science · Computer Science 2010-09-23 Daniela Lepri , Peter Csaba Ölveczky , Erika Ábrahám

HyperLTL is an extension of linear-time temporal logic for the specification of hyperproperties, i.e., temporal properties that relate multiple computation traces. HyperLTL can express information flow policies as well as properties like…

Logic in Computer Science · Computer Science 2020-05-18 Norine Coenen , Bernd Finkbeiner , César Sánchez , Leander Tentrup

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

To maximize the information gained from a single execution when verifying a concurrent system, one can derive all concurrency-aware equivalent executions and check them against linear specifications. This paper offers an alternative…

Logic in Computer Science · Computer Science 2025-07-08 Martin Leucker

We consider the model-checking problem for freeze LTL on one-counter automata (OCA). Freeze LTL extends LTL with the freeze quantifier, which allows one to store different counter values of a run in registers so that they can be compared…

Formal Languages and Automata Theory · Computer Science 2023-06-22 Benedikt Bollig , Karin Quaas , Arnaud Sangnier

To model check concurrent systems, it is convenient to distinguish between the data flow and the control. Correctness is specified on the level of data flow whereas the system is configured on the level of control. Petri nets with transits…

Logic in Computer Science · Computer Science 2020-07-15 Bernd Finkbeiner , Manuel Gieseking , Jesko Hecking-Harbusch , Ernst-Rüdiger Olderog

We provide a dynamic programming algorithm for the monitoring of a fragment of Timed Propositional Temporal Logic (TPTL) specifications. This fragment of TPTL, which is more expressive than Metric Temporal Logic, is characterized by…

Logic in Computer Science · Computer Science 2016-12-12 Adel Dokhanchi , Bardh Hoxha , Cumhur Erkan Tuncali , Georgios Fainekos

We settle the complexity of satisfiability, finite-state satisfiability, and model-checking for several fragments of second-order HyperLTL, which extends HyperLTL with quantification over sets of traces: they are all in the analytical…

Logic in Computer Science · Computer Science 2025-09-17 Gaëtan Regaud , Martin Zimmermann

Signal Temporal Logic (STL) is a widely recognized formal specification language to express rigorous temporal requirements on mixed analog signals produced by cyber-physical systems (CPS). A relevant problem in CPS design is how to…

Logic in Computer Science · Computer Science 2025-07-30 Beatrice Melani , Ezio Bartocci , Michele Chiari

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

Synthesis of models and strategies is a very important problem in software engineering. The main element here is checking the satisfiability of formulae expressing the specification of a system to be implemented. This paper puts forward a…

Logic in Computer Science · Computer Science 2020-02-11 Magdalena Kacprzak , Artur Niewiadomski , Wojciech Penczek
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