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Proof competence, i.e. the ability to write and check (mathematical) proofs, is an important skill in Computer Science, but for many students it represents a difficult challenge. The main issues are the correct use of formal language and…

Logic in Computer Science · Computer Science 2023-08-15 Nadine Karsten , Frederik Krogsdal Jacobsen , Kim Jana Eiken , Uwe Nestmann , Jørgen Villadsen

A successful automated program proof is, in software verification, the ultimate triumph. In practice, however, the road to such success is paved with many failed proof attempts. Unlike a failed test, which provides concrete evidence of an…

Software Engineering · Computer Science 2023-04-25 Li Huang , Bertrand Meyer

Optimization is used extensively in engineering, industry, and finance, and various methods are used to transform problems to the point where they are amenable to solution by numerical methods. We describe progress towards developing a…

Optimization and Control · Mathematics 2021-11-15 Alexander Bentkamp , Jeremy Avigad

Fact checking is an essential task in journalism; its importance has been highlighted due to recently increased concerns and efforts in combating misinformation. In this paper, we present an automated fact-checking platform which given a…

Computation and Language · Computer Science 2019-04-04 Sebastião Miranda , David Nogueira , Afonso Mendes , Andreas Vlachos , Andrew Secker , Rebecca Garrett , Jeff Mitchel , Zita Marinho

Even competent programmers make mistakes. Automatic verification can detect errors, but leaves the frustrating task of finding the erroneous line of code to the user. This paper presents an automatic approach for identifying potential error…

Logic in Computer Science · Computer Science 2014-09-17 Robert Koenighofer , Ronald Toegl , Roderick Bloem

This article introduces a fully automated verification technique that permits to analyze real-time systems described using a continuous notion of time and a mixture of operational (i.e., automata-based) and descriptive (i.e., logic-based)…

Logic in Computer Science · Computer Science 2013-08-14 Carlo A. Furia , Matteo Pradella , Matteo Rossi

We give a new theoretical solution to a leading-edge experimental challenge, namely to the verification of quantum computations in the regime of high computational complexity. Our results are given in the language of quantum interactive…

Quantum Physics · Physics 2018-06-25 Anne Broadbent

The emergence of the Industrial Internet results in an increasing number of complicated temporal interdependencies between automation systems and the processes to be controlled. There is a need for verification methods that scale better…

Software Engineering · Computer Science 2017-04-26 Eero Siivola , Seppo Sierla , Hannu Niemistö , Tommi Karhela , Valeriy Vyatkin

The use of autonomous vehicles in real-world applications is often precluded by the difficulty of providing safety guarantees for their complex controllers. The simulation-based testing of these controllers cannot deliver sufficient safety…

Software Engineering · Computer Science 2025-03-21 Simon Foster , Mario Gleirscher , Radu Calinescu

We present a verification methodology for analysing the decision-making component in agent-based hybrid systems. Traditionally hybrid automata have been used to both implement and verify such systems, but hybrid automata based modelling,…

Logic in Computer Science · Computer Science 2013-10-10 Louise A. Dennis , Michael Fisher , Nicholas K. Lincoln , Alexei Lisitsa , Sandor M. Veres

How does one verify that the output of a complicated program is correct? One can formally prove that the program is correct, but this may be beyond the power of existing methods. Alternatively one can check that the output produced for a…

Data Structures and Algorithms · Computer Science 2013-03-08 Loukas Georgiadis , Robert E. Tarjan

We present Cobra, a modern proof presentation framework, leveraging cutting-edge presentation technology together with a state of the art interactive theorem prover to present formalized mathematics as active documents. Cobra provides both…

Logic in Computer Science · Computer Science 2017-01-26 Martin Ring , Christoph Lüth

With the growing popularity of Large Reasoning Models and their results in solving mathematical problems, it becomes crucial to measure their capabilities. We introduce a pipeline for both automatic and interactive verification as a more…

Artificial Intelligence · Computer Science 2026-02-25 Varvara Sazonova , Dmitri Shmelkin , Stanislav Kikot , Vasily Motolygin

Autoformalization has emerged as a term referring to the automation of formalization - specifically, the formalization of mathematics using interactive theorem provers (proof assistants). Its rapid development has been driven by progress in…

Artificial Intelligence · Computer Science 2025-12-16 Agnieszka Mensfelt , David Tena Cucala , Santiago Franco , Angeliki Koutsoukou-Argyraki , Vince Trencsenyi , Kostas Stathis

We present VERIFAI, a software toolkit for the formal design and analysis of systems that include artificial intelligence (AI) and machine learning (ML) components. VERIFAI particularly seeks to address challenges with applying formal…

Quantum computers promise to efficiently solve not only problems believed to be intractable for classical computers, but also problems for which verifying the solution is also considered intractable. This raises the question of how one can…

Quantum Physics · Physics 2018-07-10 Alexandru Gheorghiu , Theodoros Kapourniotis , Elham Kashefi

We study the problem of automatic fact-checking, paying special attention to the impact of contextual and discourse information. We address two related tasks: (i) detecting check-worthy claims, and (ii) fact-checking claims. We develop…

This paper is a tutorial for newcomers to the field of automated verification tools, though we assume the reader to be relatively familiar with Hoare-style verification. In this paper, besides introducing the most basic features of the…

Software Engineering · Computer Science 2017-01-18 Paqui Lucio

Interactive program verification is characterized by iterations of unfinished proof attempts. To support the process of constructing a complete proof, many interactive program verification systems offer a proof scripting language as a…

Logic in Computer Science · Computer Science 2018-04-13 Bernhard Beckert , Sarah Grebing , and Alexander Weigl

The precise control of complex quantum systems promises numerous technological applications including digital quantum computing. The complexity of such devices renders the certification of their correct functioning a challenge. To address…

Quantum Physics · Physics 2021-12-21 Martin Kliesch , Ingo Roth
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