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Interactive proof assistants are computer programs carefully constructed to check a human-designed proof of a mathematical claim with high confidence in the implementation. However, this only validates truth of a formal claim, which may…

Programming Languages · Computer Science 2022-05-17 Colin S. Gordon , Sergey Matskevich

Compilers are a prime target for formal verification, since compiler bugs invalidate higher-level correctness guarantees, but compiler changes may become more labor-intensive to implement, if they must come with proof patches. One appealing…

Programming Languages · Computer Science 2025-03-12 Jason Gross , Andres Erbsen , Jade Philipoom , Rajashree Agrawal , Adam Chlipala

Certification helps to increase trust in formal verification of safety-critical systems which require assurance on their correctness. In hardware model checking, a widely used formal verification technique, phase abstraction is considered…

Symbolic Computation · Computer Science 2024-05-08 Nils Froleyks , Emily Yu , Armin Biere , Keijo Heljanko

How to apply automated verification technology such as model checking and static program analysis to millions of lines of embedded C/C++ code? How to package this technology in a way that it can be used by software developers and engineers,…

Software Engineering · Computer Science 2013-01-03 Ralf Huuck

The use of formal methods provides confidence in the correctness of developments. Yet one may argue about the actual level of confidence obtained when the method itself -- or its implementation -- is not formally checked. We address this…

Logic in Computer Science · Computer Science 2009-02-24 Eric Jaeger , Catherine Dubois

Automated program verifiers are often organized into a front-end, which encodes an input program into an intermediate verification language (IVL), and a back-end, which proves that the IVL program is correct. Soundness of such translational…

Programming Languages · Computer Science 2026-03-23 Hongyi Ling , Thibault Dardinier , Ellen Arlt , Peter Müller

Dynamic languages are praised for their flexibility and expressiveness, but static analysis often yields many false positives and verification is cumbersome for lack of structure. Hence, unit testing is the prevalent incomplete method for…

Programming Languages · Computer Science 2015-02-06 Robert Jakob , Peter Thiemann

Although formal methods are capable of producing reliable software, they have seen minimal adoption in everyday programming. Automatic code generation using large language models is becoming increasingly widespread, but it rarely considers…

Software Engineering · Computer Science 2025-03-19 Aleksandr Shefer , Igor Engel , Stanislav Alekseev , Daniil Berezun , Ekaterina Verbitskaia , Anton Podkopaev

Garbage collectors are notoriously hard to verify, due to their low-level interaction with the underlying system and the general difficulty in reasoning about reachability in graphs. Several papers have presented verified collectors, but…

Programming Languages · Computer Science 2015-07-01 Chris Hawblitzel , Erez Petrank

Existing verifiable e-sortition systems are impractical due to computationally expensive verification (linear to the duration of the registration phase, T) or the ease of being denial of service. Based on the advance in verifiable delay…

Cryptography and Security · Computer Science 2020-06-25 Hsun Lee , Hsu-Chun Hsiao

This paper summarizes our efforts to aid human reasoning when verification fails through the use of two distinct Formalization Integrated Development Environments (F-IDEs) that we have developed. Both environments are modular and facilitate…

Logic in Computer Science · Computer Science 2021-11-17 Yu-Shan Sun , Daniel Welch , Murali Sitaraman

We present a novel propositional proof tracing format that eliminates complex processing, thus enabling efficient (formal) proof checking. The benefits of this format are demonstrated by implementing a proof checker in C, which outperforms…

Logic in Computer Science · Computer Science 2017-08-09 Luís Cruz-Filipe , Joao Marques-Silva , Peter Schneider-Kamp

Formal specification is widely employed in the construction of high-quality software. However, there is often a huge gap between formal specification and actual implementation. While there is already a vast body of work on software testing…

Programming Languages · Computer Science 2012-03-29 Zhiqiang Ren , Hongwei Xi

System integration testing is the process of testing a system by the stepwise integration of sub-components. Usually these sub-components are already verified to guarantee their correct functional behavior. By integration of these verified…

Software Engineering · Computer Science 2014-04-29 Susanne Kandl , Martin Elshuber

On the one hand, ordered completion is a fundamental technique in equational theorem proving that is employed by automated tools. On the other hand, their complexity makes such tools inherently error prone. As a remedy to this situation we…

Logic in Computer Science · Computer Science 2018-05-28 Christian Sternagel , Sarah Winkler

Because of the probabilistic/nondeterministic behavior of quantum programs, it is highly advisable to verify them formally to ensure that they correctly implement their specifications. Formal verification, however, also traditionally…

Quantum Physics · Physics 2024-07-09 Liyi Li , Mingwei Zhu , Rance Cleaveland , Alexander Nicolellis , Yi Lee , Le Chang , Xiaodi Wu

Boolean Satisfiability (SAT) solvers are now routinely used in the verification of large industrial problems. However, their application in safety-critical domains such as the railways, avionics, and automotive industries requires some form…

Logic in Computer Science · Computer Science 2009-12-17 Ashish Darbari , Bernd Fischer , Joao Marques-Silva

Formal verification is at the heart of model validation and correctness. With model checking, invaluable realizations have been accomplished in software engineering and particularly in software development. By means of this approach,…

Software Engineering · Computer Science 2023-08-02 Patrick Mukala

This paper is a brief introduction to our recently initiated project named VERIFAI: Traceability and verification of natural language requirements. The project addresses the challenges in the traceability and verification of formal…

Software Engineering · Computer Science 2025-06-13 Arshad Beg , Diarmuid O'Donoghue , Rosemary Monahan

Essential tasks for the verification of probabilistic programs include bounding expected outcomes and proving termination in finite expected runtime. We contribute a simple yet effective inductive synthesis approach for proving such…

Logic in Computer Science · Computer Science 2023-02-09 Kevin Batz , Mingshuai Chen , Sebastian Junges , Benjamin Lucien Kaminski , Joost-Pieter Katoen , Christoph Matheja
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