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In this paper, we introduce a novel team semantics of LTL inspired by inquisitive logic. The main features of the resulting logic, we call InqLTL, are the intuitionistic interpretation of implication and the Boolean semantics of…

Logic in Computer Science · Computer Science 2025-05-19 Laura Bozzelli , Tadeusz Litak , Munyque Mittelmann , Aniello Murano

Linear Temporal Logic (LTL) interpreted on finite traces is a robust specification framework popular in formal verification. However, despite the high interest in the logic in recent years, the topic of their quantitative extensions is not…

Logic in Computer Science · Computer Science 2021-01-05 Bartosz Bednarczyk , Jakub Michaliszyn

This paper is concerned with Freeze LTL, a temporal logic on data words with registers. In a (multi-attributed) data word each position carries a letter from a finite alphabet and assigns a data value to a fixed, finite set of attributes.…

Logic in Computer Science · Computer Science 2016-01-12 Normann Decker , Daniel Thoma

This paper presents an extension of the safety fragment of Hennessy-Milner Logic with recursion over sets of traces, in the spirit of Hyper-LTL. It then introduces a novel monitoring setup that employs circuit-like structures to combine…

Logic in Computer Science · Computer Science 2022-05-11 Luca Aceto , Antonios Achilleos , Elli Anastasiadi , Adrian Francalanza

Non-deterministic planning aims to find a policy that achieves a given objective in an environment where actions have uncertain effects, and the agent - potentially - only observes parts of the current state. Hyperproperties are properties…

Logic in Computer Science · Computer Science 2024-05-24 Raven Beutner , Bernd Finkbeiner

By algorithmic metatheorems for a model checking problem P over infinite-state systems we mean generic results that can be used to infer decidability (possibly complexity) of P not only over a specific class of infinite systems, but over a…

Logic in Computer Science · Computer Science 2009-10-28 Anthony Widjaja To , Leonid Libkin

We consider an extension of linear-time temporal logic (LTL) with both local and remote data constraints interpreted over a concrete domain. This extension is a natural extension of constraint LTL and the Temporal Logic of Repeating Values,…

Logic in Computer Science · Computer Science 2022-06-06 Ashwin Bhaskar

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

Literature on Constraint Satisfaction exhibits the definition of several structural properties that can be possessed by CSPs, like (in)consistency, substitutability or interchangeability. Current tools for constraint solving typically…

Artificial Intelligence · Computer Science 2014-01-16 Lucas Bordeaux , Marco Cadoli , Toni Mancini

We study the runtime verification of hyperproperties, expressed in the temporal logic HyperLTL, as a means to inspect a system with respect to security polices. Runtime monitors for hyperproperties analyze trace logs that are organized by…

Logic in Computer Science · Computer Science 2021-01-21 Borzoo Bonakdarpour , Bernd Finkbeiner

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

Graded path modalities count the number of paths satisfying a property, and generalize the existential (E) and universal (A) path modalities of CTL*. The resulting logic is called GCTL*. We settle the complexity of satisfiability of GCTL*,…

Logic in Computer Science · Computer Science 2014-10-29 Benjamin Aminof , Aniello Murano , Sasha Rubin

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

We classify the complexity of the LTL satisfiability and model checking problems for several standard parameterisations. The investigated parameters are temporal depth, number of propositional variables and formula treewidth, resp.,…

Logic in Computer Science · Computer Science 2015-09-23 Martin Lück , Arne Meier

Writing formal specifications for distributed systems is difficult. Even simple consistency requirements often turn out to be unrealizable because of the complicated information flow in the distributed system: not all information is…

Logic in Computer Science · Computer Science 2017-01-11 Bernd Finkbeiner , Leander Tentrup

Hypersafety properties of arity $n$ are program properties that relate $n$ traces of a program (or, more generally, traces of $n$ programs). Classic examples include determinism, idempotence, and associativity. A number of relational…

Programming Languages · Computer Science 2022-10-31 Emanuele D'Osualdo , Azadeh Farzan , Derek Dreyer

The paper studies the expressivity, relative succinctness and complexity of satisfiability for hybrid extensions of the branching-time logics CTL and CTL+ by variables. Previous complexity results show that only fragments with one variable…

Logic in Computer Science · Computer Science 2015-05-13 Ahmet Kara , Martin Lange , Thomas Schwentick , Volker Weber

We design various logics for proving hyper properties of iterative programs by application of abstract interpretation principles. In part I, we design a generic, structural, fixpoint abstract interpreter parameterized by an algebraic…

Logic in Computer Science · Computer Science 2024-11-19 Patrick Cousot , Jeffery Wang

We investigate the satisfiability and finite satisfiability problem for probabilistic computation-tree logic (PCTL) where operators are not restricted by any step bounds. We establish decidability for several fragments containing…

Logic in Computer Science · Computer Science 2018-07-02 Jan Křetínský , Alexej Rotar

We study monitoring of linear-time arithmetic properties against finite traces generated by an unknown dynamic system. The monitoring state is determined by considering at once the trace prefix seen so far, and all its possible…

Logic in Computer Science · Computer Science 2022-12-01 Paolo Felli , Marco Montali , Fabio Patrizi , Sarah Winkler
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