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The reduced basis method is a model reduction technique yielding substantial savings of computational time when a solution to a parametrized equation has to be computed for many values of the parameter. Certification of the approximation is…

Numerical Analysis · Mathematics 2014-05-16 Fabien Casenave , Alexandre Ern , Tony Lelièvre

Model checking is an established technique to formally verify automation systems which are required to be trusted. However, for sufficiently complex systems model checking becomes computationally infeasible. On the other hand, testing,…

Software Engineering · Computer Science 2019-07-30 Igor Buzhinsky , Valeriy Vyatkin

Bounded model checking (BMC) is a well-known and successful technique for finding bugs in software. k-induction is an approach to extend BMC-based approaches from falsification to verification. Automatically generated auxiliary invariants…

Software Engineering · Computer Science 2015-02-03 Dirk Beyer , Matthias Dangl , Philipp Wendler

Ensuring the safety of reinforcement learning (RL) policies in high-stakes environments requires not only formal verification but also interpretability and targeted falsification. While model checking provides formal guarantees, its…

Artificial Intelligence · Computer Science 2025-06-05 Tuan Le , Risal Shefin , Debashis Gupta , Thai Le , Sarra Alqahtani

Monitoring is a runtime verification technique that allows one to check whether an ongoing computation of a system (partial trace) satisfies a given formula. It does not need a complete model of the system, but it typically requires the…

Artificial Intelligence · Computer Science 2025-08-26 Andrea Brunello , Luca Geatti , Angelo Montanari , Nicola Saccomanno

Model mismatch and process noise are two frequently occurring phenomena that can drastically affect the performance of model predictive control (MPC) in practical applications. We propose a principled way to tune the cost function and the…

Systems and Control · Electrical Eng. & Systems 2025-06-24 Riccardo Zuliani , Efe C. Balta , John Lygeros

Bounded model checking is among the most efficient techniques for the automatic verification of concurrent programs. However, encoding all possible interleavings often requires a huge and complex formula, which significantly limits the…

Programming Languages · Computer Science 2018-04-04 Liangze Yin , Wei Dong , Wanwei Liu , Ji Wang

We present a technique to infer lower bounds on the worst-case runtime complexity of integer programs, where in contrast to earlier work, our approach is not restricted to tail-recursion. Our technique constructs symbolic representations of…

Logic in Computer Science · Computer Science 2020-09-29 Florian Frohn , Matthias Naaf , Marc Brockschmidt , Jürgen Giesl

Timed automata (TAs) are a common formalism for modeling timed systems. Bounded model checking (BMC) is a verification method that searches for runs violating a property using a SAT or SMT solver. MITL is a real-time extension of the linear…

Logic in Computer Science · Computer Science 2013-04-29 Roland Kindermann , Tommi Junttila , Ilkka Niemelä

Computer-based systems have solved several domain problems, including industrial, military, education, and wearable. Nevertheless, such arrangements need high-quality software to guarantee security and safety as both are mandatory for…

Automatic software verification is a valuable means for software quality assurance. However, automatic verification and in particular software model checking can be time-consuming, which hinders their practical applicability e.g., the use…

Logic in Computer Science · Computer Science 2026-01-16 Max Barth , Marie-Christine Jakobs

Checking for Non-Termination (NT) of a given program P, i.e., determining if P has at least one non-terminating run, is an undecidable problem that continues to garner significant research attention. While unintended NT is common in…

Software Engineering · Computer Science 2024-09-23 Ravindra Metta , Hrishikesh Karmarkar , Kumar Madhukar , R Venkatesh , Supratik Chakraborty , Samarjit Chakraborty

Memory safety defects pose a major threat to software reliability, enabling cyberattacks, outages, and crashes. To mitigate these risks, organizations adopt Compositional Bounded Model Checking (BMC), using unit proofs to formally verify…

Software Engineering · Computer Science 2025-03-19 Paschal C. Amusuo , Owen Cochell , Taylor Le Lievre , Parth V. Patil , Aravind Machiry , James C. Davis

A first step towards more reliable software is to execute each statement and each control-flow path in a method once. In this paper, we present a formal method to automatically compute test cases for this purpose based on the idea of a…

Programming Languages · Computer Science 2012-05-31 Jürgen Christ , Jochen Hoenicke , Martin Schäf

In software verification, a successful automated program proof is the ultimate triumph. The road to such success is, however, paved with many failed proof attempts. The message produced by the prover when a proof fails is often obscure,…

Software Engineering · Computer Science 2022-08-29 Li Huang , Bertrand Meyer , Manuel Oriol

Software model checkers based on under-approximations and SMT solvers are very successful at verifying safety (i.e. reachability) properties. They combine two key ideas -- (a) "concreteness": a counterexample in an under-approximation is a…

Logic in Computer Science · Computer Science 2013-06-11 Anvesh Komuravelli , Arie Gurfinkel , Sagar Chaki , Edmund M. Clarke

Modern complex software systems produce a large amount of execution data, often stored in logs. These logs can be analyzed using trace checking techniques to check whether the system complies with its requirements specifications. Often…

Software Engineering · Computer Science 2014-06-17 Domenico Bianculli , Carlo Ghezzi , Srdan Krstic

In this paper we introduce a novel way to speed up the discovery of counterexamples in bounded model checking, based on parallel runs over versions of a system in which features have been randomly disabled. As shown in previous work, adding…

Software Engineering · Computer Science 2016-10-26 Mohammad Amin Alipour , Alex Groce

We introduce a sampling framework to support approximate computing with estimated error bounds in Spark. Our framework allows sampling to be performed at the beginning of a sequence of multiple transformations ending in an aggregation…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-07 Guangyan Hu , Desheng Zhang , Sandro Rigo , Thu D. Nguyen

The design of general purpose processors relies heavily on a workload gathering step in which representative programs are collected from various application domains. Processor performance, when running the workload set, is profiled using…

Performance · Computer Science 2018-01-05 Elie M. Shaccour , Mohammad M. Mansour