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Cyber-Physical Systems (CPSs) are systems with both physical and software components, for example cars and industrial robots. Since these systems exhibit both discrete and continuous dynamics, they are complex and it is thus difficult to…

Systems and Control · Electrical Eng. & Systems 2019-10-21 Johan Lidén Eddeland , Koen Claessen , Nicholas Smallbone , Zahra Ramezani , Sajed Miremadi , Knut Åkesson

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

Quantum computers (QCs) must implement quantum error correcting codes (QECCs) to protect their logical qubits from errors, and modeling the effectiveness of QECCs on QCs is an important problem for evaluating the QC architecture. The…

Quantum Physics · Physics 2009-11-13 Eric Chi , Stephen A. Lyon , Margaret Martonosi

We propose a verified approach to the formal verification of timed properties using model-checking techniques. We focus on properties expressed using real-time specification patterns, which can be viewed as a subset of timed temporal logics…

Logic in Computer Science · Computer Science 2013-02-01 Nouha Abid , Silvano Dal Zilio , Didier Le Botlan

We present a novel semantics for the language of multi-agent only believing exploiting belief bases, and show how to use it for automatically checking formulas of this language and of its dynamic extension with private belief expansion…

Artificial Intelligence · Computer Science 2023-07-28 Tiago de Lima , Emiliano Lorini , François Schwarzentruber

This paper proposes a new logic RoCTL* to model robustness in concurrent systems. RoCTL* extends CTL* with the addition of Obligatory and Robustly operators, which quantify over failure-free paths and paths with one more failure…

Logic in Computer Science · Computer Science 2013-09-18 John C. McCabe-Dansted , Tim French , Mark Reynolds , Sophie Pinchinat

We introduce a new logic named Quantitative Confidence Logic (QCL) that quantifies the level of confidence one has in the conclusion of a proof. By translating a fault tree representing a system's architecture to a proof, we show how to use…

Software Engineering · Computer Science 2021-07-26 Clovis Eberhart , Akihisa Yamada , Stefan Klikovits , Shin-ya Katsumata , Tsutomu Kobayashi , Ichiro Hasuo , Fuyuki Ishikawa

Qualitative formal verification, that seeks boolean answers about the behavior of a system, is often insufficient for practical purposes. Observing quantitative information is of interest, e.g. for the proper calibration of a battery or a…

Logic in Computer Science · Computer Science 2015-06-19 Maximilien Colange , Dimitri Racordon , Didier Buchs

We continue the investigation of parameterized extensions of Linear Temporal Logic (LTL) that retain the attractive algorithmic properties of LTL: a polynomial space model checking algorithm and a doubly-exponential time algorithm for…

Logic in Computer Science · Computer Science 2015-09-25 Martin Zimmermann

In this paper, we propose a novel one-pass and tree-shaped tableau method for Timed Propositional Temporal Logic and for a bounded variant of its extension with past operators. Timed Propositional Temporal Logic (TPTL) is a real-time…

Logic in Computer Science · Computer Science 2018-09-11 Luca Geatti , Nicola Gigante , Angelo Montanari , Mark Reynolds

It is known [DemriSchnoebelen02] that both satisfiability and model-checking problems for propositional Linear-time Temporal Logic, LTL, with only a single propositional variable in the language are PSPACE-complete, which coincides with the…

Logic in Computer Science · Computer Science 2018-11-27 Mikhail Rybakov , Dmitry Shkatov

It is crucial for accurate model checking that the model be a complete and faithful representation of the system. Unfortunately, this is not always possible, mainly because of two reasons: (i) the model is still under development and (ii)…

Logic in Computer Science · Computer Science 2017-06-19 Shiraj Arora , M. V. Panduranga Rao

Security properties of real-time systems often involve reasoning about hyper-properties, as opposed to properties of single executions or trees of executions. These hyper-properties need to additionally be expressive enough to reason about…

Cryptography and Security · Computer Science 2024-05-21 Nabarun Deka , Minjian Zhang , Rohit Chadha , Mahesh Viswanathan

Graph generation and enumeration problems often require handling equivalent graphs -- those that differ only in vertex labeling. We study how to extend SAT Modulo Symmetries (SMS), a framework for eliminating such redundant graphs, to…

Logic in Computer Science · Computer Science 2025-02-24 Mikoláš Janota , Markus Kirchweger , Tomáš Peitl , Stefan Szeider

We investigate the complexity of the model checking problem for intuitionistic and modal propositional logics over transitive Kripke models. More specific, we consider intuitionistic logic IPC, basic propositional logic BPL, formal…

Computational Complexity · Computer Science 2015-07-01 Martin Mundhenk , Felix Weiss

For continuous-time Markov chains, the model-checking problem with respect to continuous-time stochastic logic (CSL) has been introduced and shown to be decidable by Aziz, Sanwal, Singhal and Brayton in 1996. Their proof can be turned into…

Logic in Computer Science · Computer Science 2015-07-01 Lijun Zhang , David N. Jansen , Flemming Nielson , Holger Hermanns

Multi-task learning (MTL) improves generalization and data efficiency by jointly learning related tasks through shared representations. In the widely used hard-parameter-sharing setting, a shared backbone is combined with task-specific…

Machine Learning · Computer Science 2026-04-16 Hevish Cowlessur , Chandra Thapa , Tansu Alpcan , Seyit Camtepe

We study the classical problem of verifying programs with respect to formal specifications given in the linear temporal logic (LTL). We first present novel sound and complete witnesses for LTL verification over imperative programs. Our…

While model checking PCTL for Markov chains is decidable in polynomial-time, the decidability of PCTL satisfiability, as well as its finite model property, are long standing open problems. While general satisfiability is an intriguing…

Logic in Computer Science · Computer Science 2015-03-20 Nathalie Bertrand , John Fearnley , Sven Schewe

The aim of this paper is to study the complexity of the model checking problem MC for inquisitive propositional logic InqB and for inquisitive modal logic InqM, that is, the problem of deciding whether a given finite structure for the logic…

Logic in Computer Science · Computer Science 2024-04-01 Gianluca Grilletti , Ivano Ciardelli