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In the field of Explainable Constraint Solving, it is common to explain to a user why a problem is unsatisfiable. A recently proposed method for this is to compute a sequence of explanation steps. Such a step-wise explanation shows…

Artificial Intelligence · Computer Science 2025-11-14 Ignace Bleukx , Maarten Flippo , Bart Bogaerts , Emir Demirović , Tias Guns

The Verified Software Toolchain (VST) is a system for proving correctness of C programs using separation logic. By connecting to the verified compiler CompCert, it produces the strongest possible guarantees of correctness for real C code…

Programming Languages · Computer Science 2022-07-18 William Mansky

Small language models (SLMs) often struggle with complex mathematical reasoning due to limited capacity to maintain long chains of intermediate steps and to recover from early errors. We address this challenge by introducing a hint-assisted…

Artificial Intelligence · Computer Science 2026-04-15 Jawad Hossain , Xiangyu Guo , Jiawei Zhou , Chong Liu

We provide a framework consisting of tools and metatheorems for the end-to-end verification of security protocols, which bridges the gap between automated protocol verification and code-level proofs. We automatically translate a Tamarin…

Cryptography and Security · Computer Science 2022-12-09 Linard Arquint , Felix A. Wolf , Joseph Lallemand , Ralf Sasse , Christoph Sprenger , Sven N. Wiesner , David Basin , Peter Müller

Most automated verifiers for separation logic target the symbolic-heap fragment, disallowing both the magic-wand operator and the application of classical Boolean operators to spatial formulas. This is not surprising, as support for the…

Logic in Computer Science · Computer Science 2021-03-15 Jens Pagel , Florian Zuleger

Higher-order constructs extend the expressiveness of first-order (Constraint) Logic Programming ((C)LP) both syntactically and semantically. At the same time assertions have been in use for some time in (C)LP systems helping programmers…

Programming Languages · Computer Science 2014-06-03 Nataliia Stulova , José F. Morales , Manuel V. Hermenegildo

Ensuring the correct functionality of systems software, given its safety-critical and low-level nature, is a primary focus in formal verification research and applications. Despite advances in verification tooling, conventional programmers…

Programming Languages · Computer Science 2025-04-04 Yiyuan Cao , Jiayi Zhuang , Houjin Chen , Jinkai Fan , Wenbo Xu , Zhiyi Wang , Di Wang , Qinxiang Cao , Yingfei Xiong , Haiyan Zhao , Zhenjiang Hu

The introduction of separation logic has led to the development of symbolic execution techniques and tools that are (functionally) compositional with function specifications that can be used in broader calling contexts. Many of the…

Interactive theorem provers (ITPs) are powerful tools for the formal verification of mathematical proofs down to the axiom level. However, their lack of a natural language interface remains a significant limitation. Recent advancements in…

Logic in Computer Science · Computer Science 2025-07-01 Xiaolin Hu , Qinghua Zhou , Bogdan Grechuk , Ivan Y. Tyukin

Non-interference is a program property that ensures the absence of information leaks. In the context of programming languages, there exist two common approaches for establishing non-interference: type systems and program logics. Type…

Logic in Computer Science · Computer Science 2020-03-09 Dan Frumin , Robbert Krebbers , Lars Birkedal

A key feature in trusted computing is attestation, which allows encapsulated components (enclaves) to prove their identity to (local or remote) distrusting components. Reasoning about software that uses the technique requires tracking how…

Programming Languages · Computer Science 2026-04-17 June Rousseau , Denis Carnier , Thomas Van Strydonck , Steven Keuchel , Dominique Devriese , Lars Birkedal

While software requirements are often expressed in natural language, verifying the correctness of a program against such requirements is a hard and underexplored problem. Large language models (LLMs) are promising candidates for addressing…

Software Engineering · Computer Science 2025-08-26 Dimitrios Stamatios Bouras , Yihan Dai , Tairan Wang , Yingfei Xiong , Sergey Mechtaev

This paper presents a dynamic logic $d\mathcal{L}_\text{CHP}$ for compositional deductive verification of communicating hybrid programs (CHPs). CHPs go beyond the traditional mixed discrete and continuous dynamics of hybrid systems by…

Logic in Computer Science · Computer Science 2023-03-06 Marvin Brieger , Stefan Mitsch , André Platzer

We describe a method for building composable and extensible verification procedures within the Coq proof assistant. Unlike traditional methods that rely on run-time generation and checking of proofs, we use verified-correct procedures with…

Programming Languages · Computer Science 2013-05-29 Gregory Malecha , Adam Chlipala , Thomas Braibant , Patrick Hulin , Edward Z. Yang

Relational program verification is a variant of program verification where one can reason about two programs and as a special case about two executions of a single program on different inputs. Relational program verification can be used for…

Programming Languages · Computer Science 2019-10-23 Alejandro Aguirre , Gilles Barthe , Marco Gaboardi , Deepak Garg , Pierre-Yves Strub

It is well-known that big-step semantics is not able to distinguish stuck and non-terminating computations. This is a strong limitation as it makes very difficult to reason about properties involving infinite computations, such as type…

Programming Languages · Computer Science 2022-03-01 Francesco Dagnino

SEAL is a static analyser for the verification of programs that manipulate unbounded linked data structures. It is based on separation logic to represent abstract memory states and, unlike other separation-logic-based approaches, it employs…

Software Engineering · Computer Science 2026-02-09 Tomáš Brablec , Tomáš Dacík , Tomáš Vojnar

Partial incorrectness logic (partial reverse Hoare logic) has recently been introduced as a new Hoare-style logic that over-approximates the weakest pre-conditions of a program and a post-condition. It is expected to verify systems where…

Logic in Computer Science · Computer Science 2025-03-03 Yukihiro Oda

Previously, gradual verification has been developed using overapproximating logics such as Hoare logic. We show that the static verification component of gradual verification is also connected to underapproximating logics like incorrectness…

Logic in Computer Science · Computer Science 2024-12-03 Conrad Zimmerman , Jenna DiVincenzo

We present a novel and well automatable approach to formal verification of programs with underspecified semantics, i.e., a language semantics that leaves open the order of certain evaluations. First, we reduce this problem to…

Programming Languages · Computer Science 2022-02-14 Eduard Kamburjan , Nathan Wasser