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This paper presents the use of testing, credible compilation/translation validation, verification, and audits in the Axon compiler. Axon comes with fully machine checked proofs that guarantee the correctness of the generated code. All code…

Programming Languages · Computer Science 2026-05-12 Martin Rinard

Compiler optimizations are designed to improve run-time performance while preserving input-output behavior. Correctness in this sense does not necessarily preserve security: it is known that standard optimizations may break or weaken…

Formal Languages and Automata Theory · Computer Science 2019-11-15 Kedar S. Namjoshi , Lucas M. Tabajara

The goal of this lecture is to show how modern theorem provers---in this case, the Coq proof assistant---can be used to mechanize the specification of programming languages and their semantics, and to reason over individual programs and…

Programming Languages · Computer Science 2010-10-28 Xavier Leroy

We describe a formalization of higher-order rewriting theory and formally prove that an AFS is strongly normalizing if it can be interpreted in a well-founded domain. To do so, we use Coq, which is a proof assistant based on dependent type…

Logic in Computer Science · Computer Science 2021-12-14 Deivid Vale , Niels van der Weide

Any quantum computing application, once encoded as a quantum circuit, must be compiled before being executable on a quantum computer. Similar to classical compilation, quantum compilation is a sequential process with many compilation steps…

Quantum Physics · Physics 2024-06-25 Nils Quetschlich , Lukas Burgholzer , Robert Wille

Compiler optimization techniques are inherently complex, and rigorous testing of compiler optimization implementation is critical. Recent years have witnessed the emergence of testing approaches for uncovering incorrect optimization bugs,…

Software Engineering · Computer Science 2025-04-08 Jingwen Wu , Jiajing Zheng , Zhenyu Yang , Zhongxing Yu

It is well known in the Constraint Programming community that any non-binary constraint satisfaction problem (with finite domains) can be transformed into an equivalent binary one. One of the most well-known translations is the Hidden…

Programming Languages · Computer Science 2020-09-02 Catherine Dubois

Some recent processors are not equipped with an integer division unit. Compilers then implement division by a call to a special function supplied by the processor designers, which implements division by a loop producing one bit of quotient…

Logic in Computer Science · Computer Science 2022-07-19 David Monniaux , Alice Pain

With the advent of AI-based coding engines, it is possible to convert natural language requirements to executable code in standard programming languages. However, AI-generated code can be unreliable, and the natural language requirements…

Software Engineering · Computer Science 2024-11-06 Martin Mirchev , Andreea Costea , Abhishek Kr Singh , Abhik Roychoudhury

Testing has become an indispensable activity of software development, yet writing good and relevant tests remains a quite challenging task. One well-known problem is that it often is impossible or unrealistic to test for every outcome, as…

Programming Languages · Computer Science 2017-08-18 Dimitri Racordon , Didier Buchs

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

Verified compilation of open modules (i.e., modules whose functionality depends on other modules) provides a foundation for end-to-end verification of modular programs ubiquitous in contemporary software. However, despite intensive…

Programming Languages · Computer Science 2023-11-21 Ling Zhang , Yuting Wang , Jinhua Wu , Jérémie Koenig , Zhong Shao

A compiler bug arises if the behaviour of a compiled concurrent program, as allowed by its architecture memory model, is not a behaviour permitted by the source program under its source model. One might reasonably think that most compiler…

Programming Languages · Computer Science 2024-01-19 Luke Geeson

While the prominent quantum computing architectures are based on superconducting technology, new quantum hardware technologies are emerging, such as Trapped Ions, Neutral Atoms (or FPQAs), Silicon Spin Qubits, etc. This diverse set of…

Quantum Physics · Physics 2025-06-13 Oğuzcan Kırmemiş , Francisco Romão , Emmanouil Giortamis , Pramod Bhatotia

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

We present Leapfrog, a Coq-based framework for verifying equivalence of network protocol parsers. Our approach is based on an automata model of P4 parsers, and an algorithm for symbolically computing a compact representation of a…

Programming Languages · Computer Science 2023-02-03 Ryan Doenges , Tobias Kappé , John Sarracino , Nate Foster , Greg Morrisett

Recent progress in large language models (LLMs) has substantially advanced automatic code generation and formal theorem proving, yet software verification has not seen comparable gains. To address this gap, we propose WybeCoder, an agentic…

Software Engineering · Computer Science 2026-04-16 Fabian Gloeckle , Mantas Baksys , Darius Feher , Kunhao Zheng , Amaury Hayat , Sean B. Holden , Gabriel Synnaeve , Peter O'Hearn

The continuous growth of quantum computing and the increasingly complex quantum programs resulting from it lead to unprecedented obstacles in ensuring program correctness. Runtime assertions are, therefore, becoming a crucial tool in the…

Quantum Physics · Physics 2025-05-08 Damian Rovara , Lukas Burgholzer , Robert Wille

Rewriting is a formalism widely used in computer science and mathematical logic. The classical formalism has been extended, in the context of functional languages, with an order over the rules and, in the context of rewrite based languages,…

Logic in Computer Science · Computer Science 2019-06-12 Horatiu Cirstea , Pierre-Etienne Moreau

For performance and verification in machine learning, new methods have recently been proposed that optimise learning systems to satisfy formally expressed logical properties. Among these methods, differentiable logics (DLs) are used to…

Logic in Computer Science · Computer Science 2024-07-08 Reynald Affeldt , Alessandro Bruni , Ekaterina Komendantskaya , Natalia Ślusarz , Kathrin Stark