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Temporal logics (TLs) have been widely used to formalize interpretable tasks for cyber-physical systems. Time Window Temporal Logic (TWTL) has been recently proposed as a specification language for dynamical systems. In particular, it can…

Formal Languages and Automata Theory · Computer Science 2023-04-14 Ahmad Ahmad , Cristian-Ioan Vasile , Roberto Tron , Calin Belta

Hyperproperties express the relationship between multiple executions of a system. This is needed in many AI-related fields, such as knowledge representation and planning, to capture system properties related to knowledge, information flow,…

Logic in Computer Science · Computer Science 2024-04-16 Raven Beutner , Bernd Finkbeiner , Hadar Frenkel , Niklas Metzger

Model checking for real-timed systems is a rich and diverse topic. Among the different logics considered, Metric Interval Temporal Logic (MITL) is a powerful and commonly used logic, which can succinctly encode many interesting timed…

Formal Languages and Automata Theory · Computer Science 2026-05-19 S. Akshay , Prerak Contractor , Paul Gastin , R. Govind , B. Srivathsan

Timed Automata (TA) is de facto a standard modelling formalism to represent systems when the interest is the analysis of their behaviour as time progresses. This modelling formalism is mostly used for checking whether the behaviours of a…

Logic in Computer Science · Computer Science 2019-09-11 Claudio Menghi , Marcello Bersani , Matteo Rossi , Pierluigi San Pietro

Hyperproperties are properties of systems that relate multiple computation traces, including security and concurrency properties. This paper introduces a bounded model checking (BMC) algorithm for hyperproperties expressed in HyperLTL,…

Formal Languages and Automata Theory · Computer Science 2020-10-19 Tzu-Han Hsu , Cesar Sanchez , Borzoo Bonakdarpour

Many types of attacks on confidentiality stem from the nondeterministic nature of the environment that computer programs operate in (e.g., schedulers and asynchronous communication channels). In this paper, we focus on verification of…

Logic in Computer Science · Computer Science 2023-01-27 Tzu-Han Hsu , Borzoo Bonakdarpour , Bernd Finkbeiner , César Sánchez

Alternating-time temporal logic (ATL$^*$) is a well-established framework for formal reasoning about multi-agent systems. However, while ATL$^*$ can reason about the strategic ability of agents (e.g., some coalition $A$ can ensure that a…

Artificial Intelligence · Computer Science 2024-03-13 Raven Beutner , Bernd Finkbeiner

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 study the reactive synthesis problem for hyperproperties given as formulas of the temporal logic HyperLTL. Hyperproperties generalize trace properties, i.e., sets of traces, to sets of sets of traces. Typical examples are…

Logic in Computer Science · Computer Science 2019-06-03 Bernd Finkbeiner , Christopher Hahn , Philip Lukert , Marvin Stenger , Leander Tentrup

We present a novel asynchronous hyper linear time temporal logic named LPrL (Linear Time Predicate Logic) and establish its basic theory. LPrL is a natural first order extension of LTL (Linear time temporal logic), in which the predicates…

Logic in Computer Science · Computer Science 2026-01-22 Parasara Sridhar Duggirala , P. S. Thiagarajan

Timed Automata (TA) are a very popular modeling formalism for systems with time-sensitive properties. A common task is to verify if a network of TA satisfies a given property, usually expressed in Linear Temporal Logic (LTL), or in a subset…

Logic in Computer Science · Computer Science 2021-04-27 Robert L. Smith , Marcello M. Bersani , Matteo Rossi , Pierluigi San Pietro

Probabilistic Computation Tree Logic (PCTL) and Continuous Stochastic Logic (CSL) are often used to describe specifications of probabilistic properties for discrete time and continuous time, respectively. In PCTL and CSL, the possibility of…

Logic in Computer Science · Computer Science 2011-11-15 Takashi Tomita , Shigeki Hagihara , Naoki Yonezaki

We study model checking algorithms for infinite families of finite-state labeled transition systems against temporal properties written in CTL*. Such families arise, for example, as models of highly configurable systems or software product…

Logic in Computer Science · Computer Science 2026-01-23 Roberto Pettinau , Christoph Matheja

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

Strategy logic (SL) is a powerful temporal logic that enables strategic reasoning in multi-agent systems. SL supports explicit (first-order) quantification over strategies and provides a logical framework to express many important…

Multiagent Systems · Computer Science 2024-03-21 Raven Beutner , Bernd Finkbeiner

Hyperproperties are properties that describe the correctness of a system as a relation between multiple executions. Hyperproperties generalize trace properties and include information-flow security requirements, like noninterference, as…

Logic in Computer Science · Computer Science 2020-10-14 Rayna Dimitrova , Bernd Finkbeiner , Hazem Torfah

A specification given as a formula in linear temporal logic (LTL) defines a system by its set of traces. However, certain features such as information flow security constraints are rather modeled as so-called hyperproperties, which are sets…

Logic in Computer Science · Computer Science 2020-04-28 Martin Lück

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

Reactive synthesis builds a system from a specification given as a temporal logic formula. Traditionally, reactive synthesis is defined for systems with Boolean input and output variables. Recently, new theories and techniques have been…

Logic in Computer Science · Computer Science 2021-08-03 Benedikt Maderbacher , Roderick Bloem

We present a bounded model checking algorithm for signal temporal logic (STL) that exploits mixed-integer linear programming (MILP). A key technical element is our novel MILP encoding of the STL semantics; it follows the idea of stable…

Systems and Control · Electrical Eng. & Systems 2024-08-14 Sota Sato , Jie An , Zhenya Zhang , Ichiro Hasuo