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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

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

Temporal hyperproperties are system properties that relate multiple execution traces. For (finite-state) hardware, temporal hyperproperties are supported by model checking algorithms, and tools for general temporal logics like HyperLTL…

Logic in Computer Science · Computer Science 2022-08-26 Raven Beutner , Bernd Finkbeiner

Hyperproperties, as introduced by Clarkson and Schneider, characterize the correctness of a computer program as a condition on its set of computation paths. Standard temporal logics can only refer to a single path at a time, and therefore…

Logic in Computer Science · Computer Science 2013-07-01 Bernd Finkbeiner , Markus N. Rabe , César Sánchez

Hyperproperties have shown to be a powerful tool for expressing and reasoning about information-flow security policies. In this paper, we investigate the problem of statistical model checking (SMC) for hyperproperties. Unlike exhaustive…

Logic in Computer Science · Computer Science 2020-08-06 Yu Wang , Siddhartha Nalluri , Borzoo Bonakdarpour , Miroslav Pajic

Max-Plus Linear (MPL) systems are an algebraic formalism with practical applications in transportation networks, manufacturing and biological systems. In this paper, we investigate the problem of automatically analyzing the properties of…

Formal Languages and Automata Theory · Computer Science 2023-08-22 Muhammad Syifa'ul Mufid , Andrea Micheli , Alessandro Abate , Alessandro Cimatti

Hyperproperties have received increasing attention in the last decade due to their importance e.g. for security analyses. Past approaches have focussed on synchronous analyses, i.e. techniques in which different paths are compared…

Logic in Computer Science · Computer Science 2020-10-23 Jens Oliver Gutsfeld , Markus Müller-Olm , Christoph Ohrem

Hypertrace logic is a sorted first-order logic with separate sorts for time and execution traces. Its formulas specify hyperproperties, which are properties relating multiple traces. In this work, we extend hypertrace logic by introducing…

Logic in Computer Science · Computer Science 2025-10-15 Marek Chalupa , Thomas A. Henzinger , Ana Oliveira da Costa

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

The model checking problem for CTL is known to be P-complete (Clarke, Emerson, and Sistla (1986), see Schnoebelen (2002)). We consider fragments of CTL obtained by restricting the use of temporal modalities or the use of…

Logic in Computer Science · Computer Science 2015-07-01 Olaf Beyersdorff , Arne Meier , Martin Mundhenk , Thomas Schneider , Michael Thomas , Heribert Vollmer

Information-flow policies prescribe which information is available to a given user or subsystem. We study the problem of specifying such properties in reactive systems, which may require dynamic changes in information-flow restrictions…

Logic in Computer Science · Computer Science 2021-05-06 Ezio Bartocci , Thomas Ferrère , Thomas A. Henzinger , Dejan Nickovic , Ana Oliveira da Costa

Computation Tree Logic (CTL) and its extensions CTL* and CTL+ are widely used in automated verification as a basis for common model checking tools. But while they can express many properties of interest like reachability, even simple…

Logic in Computer Science · Computer Science 2019-10-28 Jens Oliver Gutsfeld , Markus Müller-Olm , Christian Dielitz

Petri nets are a modeling formalism capable of describing complex distributed systems and there exists a large number of both academic and industrial tools that enable automatic verification of model properties. Typical questions include…

Logic in Computer Science · Computer Science 2026-01-12 Bruno Maria René Gonzalez , Peter Gjøl Jensen , Stefan Schmid , Jiří Srba , Martin Zimmermann

Linear temporal logic (LTL) is a specification language for finite sequences (called traces) widely used in program verification, motion planning in robotics, process mining, and many other areas. We consider the problem of learning LTL…

Artificial Intelligence · Computer Science 2026-01-22 Ritam Raha , Rajarshi Roy , Nathanaël Fijalkow , Daniel Neider

Path checking, the special case of the model checking problem where the model under consideration is a single path, plays an important role in monitoring, testing, and verification. We prove that for linear-time temporal logic (LTL), path…

Logic in Computer Science · Computer Science 2019-03-14 Lars Kuhtz , Bernd Finkbeiner

We present Stratified Metric Temporal Logic (SMTL), a novel formalism for specifying and verifying properties of complex cyber-physical systems that exhibit behaviors across multiple temporal and abstraction scales. SMTL extends existing…

Systems and Control · Electrical Eng. & Systems 2025-01-13 Ali Baheri , Peng Wei

Hyperproperties relate multiple computation traces to each other. Model checkers for hyperproperties thus return, in case a system model violates the specification, a set of traces as a counterexample. Fixing the erroneous relations between…

Logic in Computer Science · Computer Science 2022-06-07 Norine Coenen , Raimund Dachselt , Bernd Finkbeiner , Hadar Frenkel , Christopher Hahn , Tom Horak , Niklas Metzger , Julian Siber

HyperQPTL and HyperQPTL$^+$ are expressive specification languages for hyperproperties, properties that relate multiple executions of a system. Tight complexity bounds are known for HyperQPTL finite-state satisfiability and model-checking.…

Logic in Computer Science · Computer Science 2026-02-24 Gaëtan Regaud , Martin Zimmermann

Runtime verification enables checking temporal logic specifications over individual execution traces and offers a scalable alternative to exhaustive formal verification. In practice, systems must satisfy dozens to hundreds of temporal…

Logic in Computer Science · Computer Science 2026-05-14 Arınç Demir , Dogan Ulus

We investigate the task and motion planning problem for dynamical systems under signal temporal logic (STL) specifications. Existing works on STL control synthesis mainly focus on generating plans that satisfy properties over a single…

Systems and Control · Electrical Eng. & Systems 2025-09-04 Jianing Zhao , Bowen Ye , Xinyi Yu , Rupak Majumdar , Xiang Yin