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Expressing program correctness often requires relating program data throughout (different branches of) an execution. Such properties can be represented using CTL+FO, a logic that allows mixing temporal and first-order quantification.…

Logic in Computer Science · Computer Science 2014-06-24 Tewodros A. Beyene , Marc Brockschmidt , Andrey Rybalchenko

We investigate the problem of controller synthesis for hyperproperties specified in the temporal logic HyperLTL. Hyperproperties are system properties that relate multiple execution traces. Hyperproperties can elegantly express…

Logic in Computer Science · Computer Science 2021-01-25 Borzoo Bonakdarpour , Bernd Finkbeiner

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

Formal languages are in the core of models of computation and their behavior. A rich family of models for many classes of languages have been widely studied. Hyperproperties lift conventional trace-based languages from a set of execution…

Formal Languages and Automata Theory · Computer Science 2022-01-06 Borzoo Bonakdarpour , Sarai Sheinvald

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

Hoare logics are proof systems that allow one to formally establish properties of computer programs. Traditional Hoare logics prove properties of individual program executions (such as functional correctness). Hoare logic has been…

Logic in Computer Science · Computer Science 2024-04-12 Thibault Dardinier , Peter Müller

Traditional conformance checking tasks assume that event data provide a faithful and complete representation of the actual process executions. This assumption has been recently questioned: more and more often events are not traced…

Artificial Intelligence · Computer Science 2024-06-19 Ivan Donadello , Paolo Felli , Craig Innes , Fabrizio Maria Maggi , Marco Montali

Signal Temporal Logic monitoring over numerical simulation traces has emerged as an effective approach to approximate verification of continuous and hybrid systems. In this report we explore an exact verification procedure for STL…

Logic in Computer Science · Computer Science 2020-08-18 Thomas Wright , Ian Stark

Due to its expressiveness and unambiguous nature, First-Order Logic (FOL) is a powerful formalism for representing concepts expressed in natural language (NL). This is useful, e.g., for specifying and verifying desired system properties.…

Artificial Intelligence · Computer Science 2025-11-18 Andrea Brunello , Luca Geatti , Michele Mignani , Angelo Montanari , Nicola Saccomanno

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

Model checking is a powerful method widely explored in formal verification. Given a model of a system, e.g., a Kripke structure, and a formula specifying its expected behaviour, one can verify whether the system meets the behaviour by…

Logic in Computer Science · Computer Science 2019-02-07 A. Molinari , A. Montanari , A. Murano , G. Perelli , A. Peron

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

LTL is frequently used to express specifications in many domains such as embedded systems or business processes. Witnesses can help to understand why an LTL specification is satisfiable, and a number of approaches exist to make…

Logic in Computer Science · Computer Science 2013-06-13 Viktor Schuppan

Many important cryptographic primitives offer probabilistic guarantees of security that can be specified as quantitative hyperproperties; these are specifications that stipulate the existence of a certain number of traces in the system…

Cryptography and Security · Computer Science 2020-05-18 Shubham Sahai , Rohit Sinha , Pramod Subramanyan

In runtime verification, pattern matching, which searches for occurrences of a specific pattern within a word, provides more information than a simple violation detection of the monitored property, by locating concrete evidence of the…

Formal Languages and Automata Theory · Computer Science 2025-07-17 Masaki Waga , Étienne André

Hyperproperties enable simultaneous reasoning about multiple execution traces of a system and are useful to reason about non-interference, opacity, robustness, fairness, observational determinism, etc. We introduce hyper parametric timed…

Formal Languages and Automata Theory · Computer Science 2024-08-01 Masaki Waga , Étienne André

A framework is presented for the verification of Signal Temporal Logic (STL) specifications over continuous-time nonlinear systems under uncertainty. Based on reachability analysis, the proposed method addresses indeterminate satisfaction…

Logic in Computer Science · Computer Science 2025-11-25 Antoine Besset , Joris Tillet , Julien Alexandre dit Sandretto

Since the topic emerged several years ago, work on regular model checking has mostly been devoted to the verification of state reachability and safety properties. Though it was known that linear temporal properties could also be checked…

Logic in Computer Science · Computer Science 2009-01-27 Ahmed Bouajjani , Axel Legay , Pierre Wolper

We introduce and investigate a powerful hyper logical framework in the linear-time setting, we call generalized HyperLTL with stuttering and contexts (GHyperLTL_SC for short). GHyperLTL_SC unifies known asynchronous extensions of HyperLTL…

Logic in Computer Science · Computer Science 2024-10-03 Alberto Bombardelli , Laura Bozzelli , César Sánchez , Stefano Tonetta

We study the problem of monitoring at runtime whether a system fulfills a specification defined by a hyperproperty, such as linearizability or variants of non-interference. For this purpose, we introduce specifications with both passive and…

Logic in Computer Science · Computer Science 2025-08-05 Marek Chalupa , Thomas A. Henzinger , Ana Oliveira da Costa
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