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Temporal logics over finite traces have recently seen wide application in a number of areas, from business process modelling, monitoring, and mining to planning and decision making. However, real-life dynamic systems contain a degree of…

Logic in Computer Science · Computer Science 2019-11-19 Fabrizio M. Maggi , Marco Montali , Rafael Peñaloza

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

Temporal logic provided an appealing approach to specifying properties of operating systems and other "reactive" software by allowing propositions to be qualified by "when" they must be true. This paper shows how to get the same effect,…

Logic in Computer Science · Computer Science 2026-01-16 Victor Yodaiken

In this note we consider the problem of introducing variables in temporal logic programs under the formalism of "Temporal Equilibrium Logic" (TEL), an extension of Answer Set Programming (ASP) for dealing with linear-time modal operators.…

Artificial Intelligence · Computer Science 2016-09-20 Felicidad Aguado , Pedro Cabalar , Martín Diéguez , Gilberto Pérez , Concepción Vidal

Verification of temporal logic properties plays a crucial role in proving the desired behaviors of continuous systems. In this paper, we propose an interval method that verifies the properties described by a bounded signal temporal logic.…

Logic in Computer Science · Computer Science 2016-02-09 Daisuke Ishii , Naoki Yonezaki , Alexandre Goldsztejn

Model checking and automated theorem proving are two pillars of formal methods. This paper investigates model checking from an automated theorem proving perspective, aiming at combining the expressiveness of automated theorem proving and…

Logic in Computer Science · Computer Science 2017-10-03 Ying Jiang , Jian Liu , Gilles Dowek , Kailiang Ji

A Metric Interval Temporal Logic (MITL) verification algorithm is presented. It verifies continuous-time signals without relying on high frequency sampling. Instead, it is assumed that collections of over- and under-approximating intervals…

Logic in Computer Science · Computer Science 2022-08-30 Daniel Selvaratnam , Michael Cantoni , J. M. Davoren , Iman Shames

The importance of intuitionistic temporal logics in Computer Science and Artificial Intelligence has become increasingly clear in the last few years. From the proof-theory point of view, intuitionistic temporal logics have made it possible…

Logic in Computer Science · Computer Science 2023-06-22 Joseph Boudou , Martín Diéguez , David Fernández-Duque , Philip Kremer

We develop model checking algorithms for Temporal Stream Logic (TSL) and Hyper Temporal Stream Logic (HyperTSL) modulo theories. TSL extends Linear Temporal Logic (LTL) with memory cells, functions and predicates, making it a convenient and…

Logic in Computer Science · Computer Science 2023-03-28 Bernd Finkbeiner , Hadar Frenkel , Jana Hofmann , Janine Lohse

A new logic for verification of security policies is proposed. The logic, HyperLTL, extends linear-time temporal logic (LTL) with connectives for explicit and simultaneous quantification over multiple execution paths, thereby enabling…

Logic in Computer Science · Computer Science 2013-07-10 Masoud Koleini , Michael R. Clarkson , Kristopher K. Micinski

We present team semantics for two of the most important linear and branching time specification languages, Linear Temporal Logic (LTL) and Computation Tree Logic (CTL). With team semantics, LTL is able to express hyperproperties, which have…

Logic in Computer Science · Computer Science 2025-10-14 Andreas Krebs , Arne Meier , Jonni Virtema , Martin Zimmermann

Metric Interval Temporal Logic (MITL) is a well studied real-time, temporal logic that has decidable satisfiability and model checking problems. The decision procedures for MITL rely on the automata theoretic approach, where logic formulas…

Logic in Computer Science · Computer Science 2019-10-11 Nima Roohi , Mahesh Viswanathan

Temporal logics like Computation Tree Logic (CTL) have been widely used as expressive formalisms to capture rich behavioral specifications. CTL can express properties such as reachability, termination, invariants and responsiveness, which…

Software Engineering · Computer Science 2025-02-24 Yu Liu , Yahui Song , Martin Mirchev , Abhik Roychoudhury

Temporal logics are an obvious high-level descriptive companion formalism to dynamical systems which model behavior as deterministic evolution of state over time. A wide variety of distinct temporal logics applicable to dynamical systems…

Logic in Computer Science · Computer Science 2012-12-11 Baltasar Trancón y Widemann

In previous work, summarized in this paper, we proposed an operation of parallel composition for rewriting-logic theories, allowing compositional specification of systems and reusability of components. The present paper focuses on…

Logic in Computer Science · Computer Science 2023-08-01 Óscar Martín , Alberto Verdejo , Narciso Martí-Oliet

Formal verification provides strong guarantees of correctness of software, which are especially important in safety or security critical systems. Hoare logic is a widely used formalism for rigorous verification of software against…

Programming Languages · Computer Science 2021-03-11 Jayaraj Poroor

Interval Temporal Logic (ITL) is an established temporal formalism for reasoning about time periods. For over 25 years, it has been applied in a number of ways and several ITL variants, axiom systems and tools have been investigated. We…

Logic in Computer Science · Computer Science 2015-07-01 Ben Moszkowski

Scalable and automatic formal verification for concurrent systems is always demanding. In this paper, we propose a verification framework to support automated compositional reasoning for concurrent programs with shared variables. Our…

Formal Languages and Automata Theory · Computer Science 2018-03-28 Fuyuan Zhang , Yongwang Zhao , David Sanan , Yang Liu , Alwen Tiu , Shang-Wei Lin , Jun Sun

Supervised causal learning has shown promise in causal discovery, yet it often struggles with generalization across diverse interventional settings, particularly when intervention targets are unknown. To address this, we propose TICL…

Machine Learning · Computer Science 2026-02-24 Wei Chen , Rui Ding , Bojun Huang , Yang Zhang , Qiang Fu , Yuxuan Liang , Han Shi , Dongmei Zhang

Concurrent separation logic with fractional permissions (CSLPerm) provides a promising reasoning system to verify most complex sequential and concurrent fine-grained programs. The logic with strong and weak separating conjunctions offers a…

Logic in Computer Science · Computer Science 2025-10-07 Quang Loc Le