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Bounded model checking (BMC) is an efficient formal verification technique which allows for desired properties of a software system to be checked on bounded runs of an abstract model of the system. The properties are frequently described in…

Logic in Computer Science · Computer Science 2026-02-19 Ramchandra Phawade , Tephilla Prince , S. Sheerazuddin

Many product lines are critical, and therefore reliability is a vital part of their requirements. Reliability is a probabilistic property. We therefore propose a model for feature-aware discrete-time Markov chains as a basis for verifying…

Software Engineering · Computer Science 2013-11-07 Maxime Cordy , Patrick Heymans , Pierre-Yves Schobbens , Amir Molzam Sharifloo , Carlo Ghezzi , Axel Legay

We study the problem of identity testing of markov chains. In this setting, we are given access to a single trajectory from a markov chain with unknown transition matrix $Q$ and the goal is to determine whether $Q = P$ for some known matrix…

Statistics Theory · Mathematics 2019-02-07 Yeshwanth Cherapanamjeri , Peter L. Bartlett

The analysis of parametrised systems is a growing field in verification, but the analysis of parametrised probabilistic systems is still in its infancy. This is partly because it is much harder: while there are beautiful cut-off results for…

Logic in Computer Science · Computer Science 2018-04-06 Paul Gainer , Ernst Moritz Hahn , Sven Schewe

Formal verification using the model checking paradigm has to deal with two aspects: The system models are structured, often as products of components, and the specification logic has to be expressive enough to allow the formalization of…

Logic in Computer Science · Computer Science 2015-07-01 Stefan Wöhrle , Wolfgang Thomas

We present a general framework for applying learning algorithms and heuristical guidance to the verification of Markov decision processes (MDPs). The primary goal of our techniques is to improve performance by avoiding an exhaustive…

Autonomous systems with machine learning-based perception can exhibit unpredictable behaviors that are difficult to quantify, let alone verify. Such behaviors are convenient to capture in probabilistic models, but probabilistic model…

Logic in Computer Science · Computer Science 2022-03-17 Matthew Cleaveland , Ivan Ruchkin , Oleg Sokolsky , Insup Lee

Markov decision processes are useful models of concurrency optimisation problems, but are often intractable for exhaustive verification methods. Recent work has introduced lightweight approximative techniques that sample directly from…

Logic in Computer Science · Computer Science 2015-03-24 Axel Legay , Sean Sedwards , Louis-Marie Traonouez

We show a methodology for the computation of the probability of deadline miss for a periodic real-time task scheduled by a resource reservation algorithm. We propose a modelling technique for the system that reduces the computation of such…

Performance · Computer Science 2016-04-28 Luigi Palopoli , Daniele Fontanelli , Luca Abeni , Bernardo Villalba Frías

We consider the model checking problem of infinite state systems given in the form of parameterized discrete timed networks with multiple clocks. We show that this problem is decidable with respect to specifications given by B- or…

Logic in Computer Science · Computer Science 2016-09-15 Benjamin Aminof , Sasha Rubin , Francesco Spegni , Florian Zuleger

This paper focuses on optimizing probabilities of events of interest defined over general controlled discrete-time Markov processes. It is shown that the optimization over a wide class of $\omega$-regular properties can be reduced to the…

Probability · Mathematics 2014-07-22 Ilya Tkachev , Alexandru Mereacre , Joost-Pieter Katoen , Alessandro Abate

In this paper we study reachability verification problems of stochastic discrete-time dynamical systems over the infinite time horizon. The reachability verification of interest in this paper is to certify specified lower and upper bounds…

Systems and Control · Electrical Eng. & Systems 2023-02-21 Bai Xue

Runtime verification enables checking temporal logic specifications over individual execution traces and offers a scalable alternative to exhaustive formal verification. In practice, systems must satisfy dozens to hundreds of temporal…

Logic in Computer Science · Computer Science 2026-05-14 Arınç Demir , Dogan Ulus

The language Timed Concurrent Constraint (tccp) is the extension over time of the Concurrent Constraint Programming (cc) paradigm that allows us to specify concurrent systems where timing is critical, for example reactive systems. Systems…

Logic in Computer Science · Computer Science 2007-05-23 Moreno Falaschi , Alicia Villanueva

We study the problem of formalizing and checking probabilistic hyperproperties for models that allow nondeterminism in actions. We extend the temporal logic \HyperPCTL, which has been previously introduced for discrete-time Markov chains,…

Logic in Computer Science · Computer Science 2020-07-17 Erika Abraham , Ezio Bartocci , Borzoo Bonakdarpour , Oyendrila Dobe

In this paper, we study the problem of model-checking quantum pushdown systems from a computational complexity point of view. We arrive at the following equally important, interesting new results: We first extend the notions of the {\it…

Logic in Computer Science · Computer Science 2026-05-11 Deren Lin , Tianrong Lin

We present a unified deductive verification framework for first-order temporal properties based on well-founded rankings, where verification conditions are discharged using SMT solvers. To that end, we introduce a novel reduction from…

Logic in Computer Science · Computer Science 2026-01-21 Raz Lotan , Neta Elad , Oded Padon , Sharon Shoham

We study the problem of characterizing the expected hitting times for a robust generalization of continuous-time Markov chains. This generalization is based on the theory of imprecise probabilities, and the models with which we work…

Probability · Mathematics 2022-06-28 Thomas Krak

We study runtime monitoring of $\omega$-regular properties. We consider a simple setting in which a run of an unknown finite-state Markov chain $\mathcal M$ is monitored against a fixed but arbitrary $\omega$-regular specification…

Formal Languages and Automata Theory · Computer Science 2022-07-21 Javier Esparza , Stefan Kiefer , Jan Kretinsky , Maximilian Weininger

In this paper, we present a Bayesian method for statistical model checking (SMC) of probabilistic hyperproperties specified in the logic HyperPCTL* on discrete-time Markov chains (DTMCs). While SMC of HyperPCTL* using sequential probability…

Multiagent Systems · Computer Science 2022-09-07 Spandan Das , Pavithra Prabhakar