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In this paper we consider two different views of the model checking problems for the Linear Temporal Logic (LTL). On the one hand, we consider the universal model checking problem for LTL, where one asks that for a given system and a given…

Logic in Computer Science · Computer Science 2024-09-30 Damien Busatto-Gaston , Youssouf Oualhadj , Léo Tible , Daniele Varacca

Quantitative properties of stochastic systems are usually specified in logics that allow one to compare the measure of executions satisfying certain temporal properties with thresholds. The model checking problem for stochastic systems with…

Logic in Computer Science · Computer Science 2010-05-11 Axel Legay , Benoit Delahaye

The state explosion problem and the exponentially computational complexity restrict the further applications of LTL model checking. To this end, this study tries to seek an acceptable approximate solution for LTL model checking by…

Logic in Computer Science · Computer Science 2019-02-19 Weijun Zhu , Jianwei Wang , Yongwen Fan

#SMT, or model counting for logical theories, is a well-known hard problem that generalizes such tasks as counting the number of satisfying assignments to a Boolean formula and computing the volume of a polytope. In the realm of…

Logic in Computer Science · Computer Science 2015-10-30 Dmitry Chistikov , Rayna Dimitrova , Rupak Majumdar

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

This paper introduces a novel technique to decide the satisfiability of formulae written in the language of Linear Temporal Logic with Both future and past operators and atomic formulae belonging to constraint system D (CLTLB(D) for short).…

Logic in Computer Science · Computer Science 2014-02-12 Marcello M. Bersani , Achille Frigeri , Angelo Morzenti , Matteo Pradella , Matteo Rossi , Pierluigi San Pietro

Quantifier-free nonlinear arithmetic (QF_NRA) appears in many applications of satisfiability modulo theories solving (SMT). Accordingly, efficient reasoning for corresponding constraints in SMT theory solvers is highly relevant. We propose…

Logic in Computer Science · Computer Science 2018-04-30 Pascal Fontaine , Mizuhito Ogawa , Thomas Sturm , Xuan Tung Vu

The satisfiability problem of the branching time logic CTL is studied in terms of computational complexity. Tight upper and lower bounds are provided for each temporal operator fragment. In parallel, the minimal model size is studied with a…

Logic in Computer Science · Computer Science 2017-02-27 Martin Lück

Hyperproperties generalize trace properties by expressing relations between multiple computations. Hyperpropertes include policies from information-flow security, like observational determinism or non-interference, and many other system…

Logic in Computer Science · Computer Science 2021-07-27 Bernd Finkbeiner

We give a quantifier elimination procedures for the extension of Presburger arithmetic with a unary threshold counting quantifier $\exists^{\ge c} y$ that determines whether the number of different $y$ satisfying some formula is at least $c…

Logic in Computer Science · Computer Science 2021-03-10 Dmitry Chistikov , Christoph Haase , Alessio Mansutti

Runtime verification is an effective automated method for specification-based offline testing and analysis as well as online monitoring of complex systems. The specification language is often a variant of regular expressions or a popular…

Logic in Computer Science · Computer Science 2014-11-11 Ramy Medhat , Yogi Joshi , Borzoo Bonakdarpour , Sebastian Fischmeister

Model counting is the problem of computing the number of models that satisfy a given propositional theory. It has recently been applied to solving inference tasks in probabilistic logic programming, where the goal is to compute the…

Artificial Intelligence · Computer Science 2014-11-21 Rehan Abdul Aziz , Geoffrey Chu , Christian Muise , Peter Stuckey

Legal properties involve reasoning about data values and time. Metric first-order temporal logic (MFOTL) provides a rich formalism for specifying legal properties. While MFOTL has been successfully used for verifying legal properties over…

Software Engineering · Computer Science 2023-05-30 Nick Feng , Lina Marsso , Mehrdad Sabetzadeh , Marsha Chechik

Verification of large and complicated concurrent programs is an important issue in the software world. Stateless model checking is an appropriate method for systematically and automatically testing of large programs, which has proved its…

Programming Languages · Computer Science 2016-03-14 Elaheh Ghassabani , Mohammad Abdollahi Azgomi

We introduce a novel logic for the specification of context-free hyperproperties, which capture, e.g., the flow of information in security-critical recursive systems. Intuitively, the logic extends visibly pushdown automata by…

Logic in Computer Science · Computer Science 2026-05-07 Sarah Winter , Martin Zimmermann

Model checking verifies that a model of a system satisfies a given property, and otherwise produces a counter-example explaining the violation. The verified properties are formally expressed in temporal logics. Some temporal logics, such as…

Logic in Computer Science · Computer Science 2012-02-22 Simon Busard , Charles Pecheur

We study the LTL model-checking in possibilistic Kripke structure using possibility measure. First, the notion of possibilistic Kripke structure and the related possibility measure are introduced, then model-checking of reachability and…

Logic in Computer Science · Computer Science 2016-09-27 Yongming Li , Lijun Li

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

Learning-to-rank (LTR) is a class of supervised learning techniques that apply to ranking problems dealing with a large number of features. The popularity and widespread application of LTR models in prioritizing information in a variety of…

Machine Learning · Computer Science 2020-05-19 Jaspreet Singh , Zhenye Wang , Megha Khosla , Avishek Anand

Approximate model counting for bit-vector SMT formulas (generalizing \#SAT) has many applications such as probabilistic inference and quantitative information-flow security, but it is computationally difficult. Adding random parity…

Cryptography and Security · Computer Science 2017-12-22 Seonmo Kim , Stephen McCamant