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In [11] we defined Inf-Datalog and characterized the fragments of Monadic inf-Datalog that have the same expressive power as Modal Logic (resp. $CTL$, alternation-free Modal $\mu$-calculus and Modal $\mu$-calculus). We study here the time…

Data Structures and Algorithms · Computer Science 2016-08-16 Eugénie Foustoucos , Irene Guessarian

In this paper we initiate the study of the computational complexity of learning linear temporal logic (LTL) formulas from examples. We construct approximation algorithms for fragments of LTL and prove hardness results; in particular we…

Formal Languages and Automata Theory · Computer Science 2021-02-02 Nathanaël Fijalkow , Guillaume Lagarde

Chain-of-Thought reasoning has emerged as a powerful approach for solving complex mathematical and logical problems. However, it can often veer off track through incorrect or unsubstantiated inferences. Formal mathematical reasoning, which…

Machine Learning · Computer Science 2026-02-16 Maria-Florina Balcan , Avrim Blum , Zhiyuan Li , Dravyansh Sharma

This paper is about modeling and verification languages with their pros and cons. Modeling is dynamic part of system development process before realization. The cost and risky situations obligate designer to model system before production…

Software Engineering · Computer Science 2014-05-01 Mostafavi Amjad Davoud , Zolfy Lighvan Mina

We consider quantitative extensions of the alternating-time temporal logics ATL/ATLs called quantitative alternating-time temporal logics (QATL/QATLs) in which the value of a counter can be compared to constants using equality, inequality…

Logic in Computer Science · Computer Science 2014-09-22 Steen Vester

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

A good process model is expected not only to reflect the behavior of the process, but also to be as easy to read and understand as possible. Because preferences vary across different applications, numerous measures provide ways to reflect…

Formal Languages and Automata Theory · Computer Science 2024-08-23 Patrizia Schalk , Adam Burke , Robert Lorenz

Complex networks are everywhere. They appear for example in the form of biological networks, social networks, or computer networks and have been studied extensively. Efficient algorithms to solve problems on complex networks play a central…

Discrete Mathematics · Computer Science 2020-06-26 Jan Dreier , Philipp Kuinke , Peter Rossmanith

Brute-force model-checking consists in exhaustive exploration of the state-space of a Petri net, and meets the dreaded state-space explosion problem. In contrast, this paper shows how to solve model-checking problems using a combination of…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Yann Thierry-Mieg

Software Model Checkers have shown outstanding performance improvements in recent times. Moreover, for specific use cases, formal verification techniques have shown to be highly effective, leading to a number of high-profile success…

Software Engineering · Computer Science 2017-06-14 Rodrigo Castaño , Victor Braberman , Diego Garbervetsky , Sebastian Uchitel

In machine learning (ML) verification, the majority of procedures are non-quantitative and therefore cannot be used for verifying probabilistic models, or be applied in domains where hard guarantees are practically unachievable. The…

Artificial Intelligence · Computer Science 2024-10-24 Paolo Morettin , Andrea Passerini , Roberto Sebastiani

Although the security of quantum cryptography is provable based on the principles of quantum mechanics, it can be compromised by the flaws in the design of quantum protocols and the noise in their physical implementations. So, it is…

Quantum Physics · Physics 2013-11-15 Yuan Feng , Nengkun Yu , Mingsheng Ying

In the age of autonomously driving vehicles, functionality and complexity of embedded systems are increasing tremendously. Safety aspects become more important and require such systems to operate with the highest possible level of fault…

Software Engineering · Computer Science 2021-10-20 Jonas Fritzsch , Tobias Schmid , Stefan Wagner

We present the PML 2 language, which provides a uniform environment for programming, and for proving properties of programs in an ML-like setting. The language is Curry-style and call-by-value, it provides a control operator (interpreted in…

Logic in Computer Science · Computer Science 2019-01-11 Rodolphe Lepigre

In this paper, we introduce LLMCHECKER, a model-checking-based verification method to verify the probabilistic computation tree logic (PCTL) properties of an LLM text generation process. We empirically show that only a limited number of…

Artificial Intelligence · Computer Science 2025-09-24 Dennis Gross , Helge Spieker , Arnaud Gotlieb

Verification of higher-order probabilistic programs is a challenging problem. We present a verification method that supports several quantitative properties of higher-order probabilistic programs. Usually, extending verification methods to…

Logic in Computer Science · Computer Science 2024-07-04 Satoshi Kura , Hiroshi Unno

Multi-Agent Systems (MAS) are notoriously complex and hard to verify. In fact, it is not trivial to model a MAS, and even when a model is built, it is not always possible to verify, in a formal way, that it is actually behaving as we…

Logic in Computer Science · Computer Science 2023-06-19 Angelo Ferrando , Vadim Malvone

This paper describes our work on demonstrating verification technologies on a flight-critical system of realistic functionality, size, and complexity. Our work targeted a commercial aircraft control system named Transport Class Model (TCM),…

Software Engineering · Computer Science 2015-02-10 Guillaume Brat , David Bushnell , Misty Davies , Dimitra Giannakopoulou , Falk Howar , Temesghen Kahsai

An important problem that arises during the execution of service-based applications concerns the ability to determine whether a running service can be substituted with one with a different interface, for example if the former is no longer…

Logic in Computer Science · Computer Science 2010-04-19 Marcello M. Bersani , Luca Cavallaro , Achille Frigeri , Matteo Pradella , Matteo Rossi

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
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