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While the use of formal verification techniques is well established in the development of mission-critical software, it is still rare in the production of most other kinds of software. We share our experience that a formal verification tool…

Programming Languages · Computer Science 2020-07-03 Dimitur Nikolaev Krustev

This paper presents a novel approach to automatically verify properties of pure data-parallel programs with non-linear indexing -- expressed as pre- and post-conditions on functions. Programs consist of nests of second-order array…

Programming Languages · Computer Science 2025-07-01 Nikolaj Hey Hinnerskov , Robert Schenck , Cosmin E. Oancea

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 2023-10-09 Colin S. Gordon , Sergey Matskevich

Despite the recent progress in automatic theorem provers, proof engineers are still suffering from the lack of powerful proof automation. In this position paper we first report our proof strategy language based on a meta-tool approach.…

Artificial Intelligence · Computer Science 2017-01-12 Yutaka Nagashima

Despite the vast body of research literature proposing algorithms with formal guarantees, the amount of verifiable code in today's systems remains minimal. This discrepancy stems from the inherent difficulty of verifying code, particularly…

Software Engineering · Computer Science 2025-01-10 Changjie Wang , Mariano Scazzariello , Marco Chiesa

System relevant embedded software needs to be reliable and, therefore, well tested, especially for aerospace systems. A common technique to verify programs is the analysis of their abstract syntax tree (AST). Tree structures can be…

Software Engineering · Computer Science 2017-01-09 Frank Flederer , Ludwig Ostermayer , Dietmar Seipel , Sergio Montenegro

The ever-growing complexity of mathematical proofs makes their manual verification by mathematicians very cognitively demanding. Autoformalization seeks to address this by translating proofs written in natural language into a formal…

Computation and Language · Computer Science 2023-01-06 Garett Cunningham , Razvan C. Bunescu , David Juedes

The logic of equality with uninterpreted functions (EUF) provides a means of abstracting the manipulation of data by a processor when verifying the correctness of its control logic. By reducing formulas in this logic to propositional…

Logic in Computer Science · Computer Science 2007-05-23 Randal E. Bryant , Steven German , Miroslav N. Velev

In this short paper, we present our ongoing work on the veriFIRE project -- a collaboration between industry and academia, aimed at using verification for increasing the reliability of a real-world, safety-critical system. The system we…

Logic in Computer Science · Computer Science 2022-12-08 Guy Amir , Ziv Freund , Guy Katz , Elad Mandelbaum , Idan Refaeli

Development of formal proofs of correctness of programs can increase actual and perceived reliability and facilitate better understanding of program specifications and their underlying assumptions. Tools supporting such development have…

Logic in Computer Science · Computer Science 2020-03-17 Talia Ringer , Karl Palmskog , Ilya Sergey , Milos Gligoric , Zachary Tatlock

We propose an approach for modular verification of programs written in an object-oriented language where, like in C++, the same virtual method call is bound to different methods at different points during the construction or destruction of…

Programming Languages · Computer Science 2023-07-18 Niels Mommen , Bart Jacobs

Program verification tools are often implemented as front-end translations of an input program into an intermediate verification language (IVL) such as Boogie, GIL, Viper, or Why3. The resulting IVL program is then verified using an…

Programming Languages · Computer Science 2024-12-23 Thibault Dardinier , Michael Sammler , Gaurav Parthasarathy , Alexander J. Summers , Peter Müller

In this paper, we provide a comprehensive, hands-on tutorial on how to apply deductive verification to programs written in OCaml. In particular, we show how one can use the GOSPEL specification language and the Cameleer tool to conduct…

Logic in Computer Science · Computer Science 2024-07-23 Mário Pereira

An invaluable feature of computer algebra systems is their ability to plot the graph of functions. Unfortunately, when one is trying to design a library of mathematical functions, this feature often falls short, producing incorrect and…

Software Engineering · Computer Science 2021-08-10 Guillaume Melquiond

Formally verifying software properties is a highly desirable but labor-intensive task. Recent work has developed methods to automate formal verification using proof assistants, such as Coq and Isabelle/HOL, e.g., by training a model to…

Machine Learning · Computer Science 2023-03-17 Emily First , Markus N. Rabe , Talia Ringer , Yuriy Brun

With the widespread consumption of AI-generated content, there has been an increased focus on developing automated tools to verify the factual accuracy of such content. However, prior research and tools developed for fact verification treat…

Computation and Language · Computer Science 2025-03-20 Varich Boonsanong , Vidhisha Balachandran , Xiaochuang Han , Shangbin Feng , Lucy Lu Wang , Yulia Tsvetkov

Program verifiers for imperative languages such as C may be annotation-based, in which assertions and invariants are put into source files and then checked, or tactic-based, where proof scripts separate from programs are interactively…

Programming Languages · Computer Science 2023-10-27 Litao Zhou , Jianxing Qin , Qinshi Wang , Andrew W. Appel , Qinxiang Cao

The aliasing question (can two reference expressions point, during an execution, to the same object?) is both one of the most critical in practice, for applications ranging from compiler optimization to programmer verification, and one of…

Software Engineering · Computer Science 2019-04-22 Victor Rivera , Bertrand Meyer

Verification of neural networks is currently a hot topic in automated theorem proving. Progress has been rapid and there are now a wide range of tools available that can verify properties of networks with hundreds of thousands of nodes. In…

Machine Learning · Computer Science 2022-02-11 Matthew L. Daggitt , Wen Kokke , Robert Atkey , Luca Arnaboldi , Ekaterina Komendantskya

LLMs excel at reasoning, but validating their steps remains challenging. Formal verification offers a solution through mechanically checkable proofs. Interactive theorem provers (ITPs) dominate mathematical reasoning but require detailed…

Machine Learning · Computer Science 2026-02-03 Mantas Baksys , Stefan Zetzsche , Olivier Bouissou , Sean B. Holden
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